Researcher ORCiD: 0000-0003-1871-7803

05 January 2024

Soumendra Nath Thakur. Author ORCiD: 0000-0003-1871-7803.

Email: postmasterenator@gmail.com 05-January-2024

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The quest to understand the origin of the universe leads to the exploration of a critical juncture, bounded by a frequency threshold. This theoretical marker, set at the hypothetical birth of the cosmos, symbolizes a breakthrough moment, marking a state of extreme energy and the beginning of cosmic evolution. Examining the significance of this threshold in the context of the Big Bang model unravels the theoretical framework, demonstrating the hypothetical boundary between conventional physics and the deep mysteries of the universe's first moments. This inquiry discusses theoretical implications, hypothetical limits, and proposed possible ways of conceptualizing cosmic birth, providing a glimpse into the complex fabric of cosmic origins.

This study attempts to describe the state or existence of the universe before the Big Bang model, focusing on a pre-big bang scenario where conventional dimensions do not exist. It hypothesizes a theory that describes a state before space and time emergence, exploring concepts beyond our current physical understanding.

Within this theoretical framework, the universe's prime potential energy level (E₀ₚ) originates from an initial point (ΔE₀ₚ), progressing toward an optimal state of dynamic form (E₀ₖ) encompassing an array of infinitesimal 0ₜₕ-dimensional points (∫ ΔE₀ₚ). Events unfold simultaneously with the genesis of spatial and temporal dimensions subsequent to attaining an optimal state of dynamic form (∫ ΔE₀ₖ dx to ∞E₀ₚ).

Pre Big Bang Scenario:

1. Points in no-dimension:

Points existing in no-dimension denote theoretical entities devoid of conventional spatial dimensions.

Within this mathematical construct, the notion of "Points in no-dimension" indicates the existence of mathematical points that do not possess any traditional dimensions, such as length, width, or height.

These points, existing without conventional dimensions, represent theoretical entities within this mathematical framework before the emergence of spatial dimensions or the conventional understanding of space.

The interpretation suggests the presence of abstract points that exist without adhering to any traditional spatial dimensions within the theoretical construct preceding the Big Bang.

2. A Locational Point:

A "Locational Point" refers to a theoretical point designated within a mathematical context, indicating a specific location or position devoid of conventional spatial dimensions.

This concept implies the existence of a theoretical point in a mathematical scenario before the Big Bang, representing a precise location without traditional spatial coordinates or dimensions.

The term "Locational Point" affirms the notion of a specific designated point within a theoretical framework that lacks the conventional dimensions we understand in our physical universe.

Within this pre-Big Bang mathematical scenario, the phrase denotes the existence of a point used to designate a position or location, distinct from the conventional spatial understanding, within a theoretical construct devoid of traditional dimensions.

3. Is Potential Point:

A "Potential Point" conceptually signifies a designated mathematical construct representing a point within a theoretical framework before the Big Bang, illustrating a specific location or position in a scenario devoid of conventional dimensions.

In the context of the theoretical pre-Big Bang scenario, the term "Potential Point" affirms the existence of a designated point devoid of traditional spatial coordinates, symbolizing a theoretical position within a mathematical construct before the emergence of conventional spatial dimensions.

This concept denotes a theoretical construct representing a specific point or location without conventional spatial properties, emphasizing its existence within a mathematical framework intended to describe a state preceding the Big Bang, devoid of traditional spatial dimensions.

4. Is Equilibrium Point:

In the context of the provided descriptions and equations outlining a mathematical scenario before the Big Bang, the term "Is Equilibrium Point" denotes:

An Equilibrium Point within this mathematical scenario signifies a moment or phase where the energy configuration of the theoretical framework, comprising optimal potential energy and dynamic form, reaches a state of balance or stability before the emergence of conventional space-time dimensions.

This Equilibrium Point represents a stage where the total energy within a point remains constant, indicating a perfect balance between the universe's optimal potential energy (E₀ₚ) and its dynamic form (E₀ₖ). In this mathematical construct, any changes in kinetic energy (ΔE₀ₖ) precisely offset equivalent, opposing changes in potential energy (ΔE₀ₚ), ensuring an overall equilibrium within the system.

The Equilibrium Point could symbolize a pivotal phase where the transformative process—from an initial state of infinite potential energy (∞E₀ₚ) towards optimal dynamic form (∞E₀ₖ)—reaches a state of balance, signifying the pinnacle of energy equilibrium within this mathematical framework.

This term encapsulates the foundational concept of perpetual conservation of energy, emphasizing a stable or balanced state preceding the manifestation of space and time dimensions within this mathematical representation. The Equilibrium Point serves as a theoretical milestone, highlighting the moment when the mathematical representation of the universe's energy dynamics achieves a perfect equilibrium before the speculated Big Bang event.

5. Is Eventless Oscillating Point:

In the context of the mathematical scenario describing the pre-Big Bang state:

An Eventless Oscillating Point within this mathematical scenario denotes a phase or moment characterized by a state of equilibrium and oscillation devoid of any discernible events or transformations, yet marked by dynamic fluctuations in energy levels.

In this mathematical representation preceding the Big Bang, the concept of an Eventless Oscillating Point symbolizes a phase where the system experiences subtle oscillations or fluctuations in energy without manifesting any observable events or transformations. Despite this apparent lack of events, there exists a continuous oscillation or dynamic interplay between the universe's optimal potential energy and its dynamic form within this theoretical construct.

The term "Eventless" implies a lack of distinct changes or occurrences discernible within the system, suggesting a tranquil or static appearance. However, despite the absence of observable events, the system experiences periodic oscillations or fluctuations in energy configurations, underscoring a dynamic equilibrium within this mathematical representation.

The notion of an Oscillating Point indicates that within this mathematical construct, there exists an inherent oscillatory nature in the energy dynamics, signifying subtle yet continual fluctuations or movements between optimal potential energy and dynamic form. This point serves as a theoretical representation of a phase preceding the Big Bang, characterized by an equilibrium of energy that undergoes periodic oscillations without any observable events or transformations.

6. Is Eventless Existential Point:

An Eventless Existential Point within this mathematical framework represents a moment or phase characterized by a state of existence, yet devoid of any observable events or transformations.

In this mathematical representation preceding the Big Bang, the concept of an Eventless Existential Point implies the presence of a specific point or phase within the theoretical construct. This point signifies a moment or phase of existence within the system's framework but lacks any observable events or transformations.

The term "Eventless" denotes the absence of noticeable changes or occurrences within this existential point, suggesting a static or tranquil state. However, despite the apparent absence of observable events, this point exists within the mathematical construct, representing a phase of existence.

The notion of an Existential Point signifies that within this mathematical framework, there exists a defined point or phase indicating existence within the system, even though it does not manifest any observable events or transformations. This point serves as a theoretical representation of a phase preceding the Big Bang, depicting a state of existence within the system that does not exhibit any discernible changes or events.

7. Is Gravitational Point:

In the context of the theoretical framework pre-Big Bang, a "Gravitational Point" signifies a conceptual construct illustrating a designated mathematical representation that relates to gravitational phenomena within this hypothetical scenario.

Within this context:

The concept of a "Gravitational Point" affirms the existence of a theoretical locus or point symbolizing a specific aspect of gravitational energy or phenomena within a theoretical construct preceding conventional space-time dimensions.

It represents a theoretical localization that encapsulates gravitational energy or characteristics within this speculative framework, elucidating aspects related to gravitational forces, energy transformations, or phenomena, potentially existing before the inception of conventional spatial and temporal dimensions.

The term "Gravitational Point" emphasizes a theoretical construct used to symbolize a focal or specific location within this scenario, intended to illustrate gravitational aspects or characteristics, offering insights into potential gravitational behaviours or influences before the emergence of the conventional universe.

8. Is The Origin of Associated Points:

In the context of the presented theoretical framework pre-Big Bang, "The Origin of Associated Points" affirms a theoretical concept indicating the inception or genesis of a network of interconnected points aligned with the universe's optimal potential energy.

It signifies a theoretical inception point from which a series of interconnected or related points emanate or are associated, forming a network within this speculative construct.

The term emphasizes the foundational point from which a multitude of interconnected points within the theoretical framework of optimal potential energy originate or are interlinked.

It symbolizes the starting locus or fundamental reference within this hypothetical scenario, representing the genesis of associated points integral to the concept of optimal potential energy in this speculative pre-Big Bang framework.

The notion reinforces the idea that the initial point serves as the genesis or root point, with an interconnection to an array of points associated with the concept of optimal potential energy in this theoretical context.

9. An Optimum Collection of Associated Points around Origin Point:

In the context of the presented theoretical framework pre-Big Bang, "An Optimum Collection of Associated Points around Origin Point" affirms a theoretical concept that signifies the emergence or formation of an ideal assemblage of interconnected points cantered around an initial reference point.

It denotes the formation of a specific arrangement or grouping of interconnected points, emphasizing the quality of being optimal or ideal within this theoretical construct.

The term highlights the gathering or clustering of interconnected points, suggesting an ideal or prime state within this theoretical framework.

It signifies the notion of an optimal or ideal collection of points, indicating a theoretical arrangement cantered around the origin point within the context of the universe's optimal potential energy.

The concept underlines the formation of an ideal set or cluster of associated points revolving around the origin, representing an optimal state integral to the notion of potential energy in this theoretical pre-Big Bang scenario.

It reinforces the idea of an ideal assembly or group of interconnected points encircling the origin, symbolizing a foundational aspect within the theoretical construct of optimal potential energy in this theoretical pre-Big Bang scenario.

10. Destabilization of the Eventless Oscillating Origin Point:

In the context of the presented theoretical framework pre-Big Bang, "Destabilization of the Eventless Oscillating Origin Point" affirms a theoretical concept that suggests a disruption or alteration in the stability of the central or primary point of origin, which was previously considered to exist in a state of consistent, undisturbed oscillation devoid of observable events.

It implies a disturbance or disruption in the stability of the origin point, which was previously perceived as undergoing a repetitive oscillation without any noticeable events or occurrences.

The phrase indicates a shift or change in the stable nature of the origin point's oscillation, suggesting a departure from its eventless, uninterrupted state within the theoretical construct.

It signifies a theoretical destabilization in the consistent oscillation of the origin point, proposing a change or alteration in its state from a condition previously characterized by an absence of events or observable changes.

The concept implies a disruption or change in the eventless oscillation of the origin point, emphasizing a deviation from its prior state of steady, repetitive oscillation devoid of observable happenings.

It denotes the theoretical upheaval or disturbance of the origin point's eventless oscillation, suggesting a departure from its previous state of stability or regularity within the theoretical framework pre-Big Bang.

This interpretation underscores a shift or alteration in the stability of the origin point's oscillation, which was previously deemed consistent and eventless within the theoretical construct outlining the pre-Big Bang scenario.

11. Destabilization of Equilibrium of Eventless Oscillating Associated Points:

In the context of the provided theoretical framework pre-Big Bang, "Destabilization of Equilibrium of Eventless Oscillating Associated Points" implies an interruption or alteration in the stability of the balanced, undisturbed oscillating state linked to interconnected points within the theoretical construct.

It indicates a disturbance or disruption in the equilibrium of the eventless oscillation linked to associated points, suggesting a departure from a stable, repetitive oscillation without observable events.

The phrase signifies a theoretical destabilization in the equilibrium state of interconnected, eventless oscillating points, proposing a change or interruption in their state from a condition previously characterized by an absence of events or observable changes.

It denotes a theoretical upheaval or alteration in the equilibrium of the interconnected eventless oscillating points, emphasizing a deviation from their prior state of consistent, repetitive oscillation devoid of observable happenings.

The concept implies a disruption or change in the equilibrium of the eventless oscillating associated points, highlighting a deviation from their previous state of stability or regularity within the speculative framework.

It suggests a disturbance in the equilibrium of the eventless oscillation among associated points, indicating a shift or alteration in their previous state of undisturbed, repetitive oscillation without observable events.

This interpretation underscores a theoretical shift or alteration in the equilibrium state of the interconnected, eventless oscillating points, which were previously considered to oscillate in a balanced and uninterrupted manner within the theoretical construct outlining the pre-Big Bang scenario.

12. An Optimum Destabilization of Equilibrium of Eventless Oscillating Associated Points:

In the context of the described theoretical framework pre-Big Bang, "An Optimum Destabilization of Equilibrium of Eventless Oscillating Associated Points" suggests an idealized disturbance or alteration in the balanced, undisturbed oscillation state linked to interconnected points within the theoretical construct.

It implies an ideal or optimized disruption in the equilibrium of the eventless oscillation associated with interconnected points, hinting at a purposeful or advantageous alteration from a stable, repetitive oscillation without observable events.

The phrase conveys an idealized theoretical scenario where there's an optimized disturbance in the equilibrium state of the eventless oscillating points, suggesting an intentional or advantageous change from their previous state characterized by a lack of observable changes or events.

It denotes an optimal theoretical alteration in the equilibrium of interconnected, eventless oscillating points, emphasizing a calculated or beneficial deviation from their prior state of consistent, repetitive oscillation devoid of observable happenings.

The concept suggests an optimized theoretical upheaval or alteration in the equilibrium of the eventless oscillating associated points, proposing a purposeful change or disruption from their previous state of stability or regularity within the speculative framework.

It signifies an idealized disturbance in the equilibrium of the eventless oscillation among associated points, indicating a deliberately optimized shift or alteration from their previous state of undisturbed, repetitive oscillation without observable events.

This interpretation underscores an idealized theoretical shift or alteration in the equilibrium state of the interconnected, eventless oscillating points. It implies an optimal, intentional disturbance in their oscillation pattern within the theoretical construct outlining the pre-Big Bang scenario.

13. Eventful Oscillating Points:

In the context of the pre-Big Bang scenario, "Eventful Oscillating Points" would signify the presence or emergence of mathematically noticeable changes or events within the oscillating points. This term suggests:

Implies the presence of mathematically detectable alterations or events within the oscillating points within the pre-Big Bang scenario, indicating that these changes are observable through mathematical analysis or theoretical frameworks.

Signifies the emergence or existence of mathematically discernible changes or events within the interconnected points, highlighting that these alterations are observable through mathematical models or theoretical constructs.

Indicates that while there are no observable changes in the conventional sense, mathematically noticeable alterations or events are present within the oscillating points, suggesting that these changes can be understood or detected through mathematical analysis.

Suggests the existence of mathematically detectable events or changes within the oscillating points in the pre-Big Bang context, emphasizing that these alterations are recognizable through mathematical frameworks rather than observable in a conventional sense.

Denotes the presence of mathematically noticeable changes or events occurring within the oscillating points in the theoretical construct of pre-Big Bang, implying that these changes are perceivable or deducible through mathematical models or analytical methods.

This interpretation emphasizes that while conventional observation of changes may not occur, there exist mathematically detectable alterations or events within the oscillating points as part of the theoretical framework depicting the pre-Big Bang scenario.

14. Eventful Existential Points:

In the context of the described pre-Big Bang scenario and considering the presence or emergence of mathematically noticeable changes or events, the term "Eventful Existential Points" implies the following:

Signifies the presence or emergence of mathematically discernible alterations or occurrences within the existential points within the pre-Big Bang context. These alterations are observable or detectable through mathematical analysis or theoretical frameworks.

Implies the existence of mathematically detectable changes or events occurring within the interconnected existential points, indicating the presence of alterations that can be understood or observed through mathematical models or analytical methods.

Suggests the presence of mathematically noticeable changes or occurrences within the existential points, indicating that these alterations can be comprehended or detected through mathematical analysis despite being imperceptible through conventional observation.

Denotes the emergence or existence of mathematically detectable events or changes within the existential points in the theoretical construct of the pre-Big Bang scenario. These events or changes are recognizable through mathematical frameworks rather than observable in a conventional sense.

Indicates that while conventional observation of changes may not be feasible, there exist mathematically detectable alterations or events within the existential points as part of the theoretical framework depicting the pre-Big Bang scenario.

This interpretation emphasizes that within the theoretical construct of the pre-Big Bang scenario, "Eventful Existential Points" suggest the presence or emergence of detectable changes or events within the interconnected points that are observable or comprehensible through mathematical analysis or theoretical frameworks.

15. Are No-dimensional Kinetic Points:

In the context of the presented theoretical framework depicting the pre-Big Bang scenario and considering the presence or emergence of mathematically noticeable changes or events, the term "No-dimensional Kinetic Points" suggests the following affirmative implications:

Represents points within the pre-Big Bang framework devoid of conventional dimensions yet involving kinetic energy transformations or dynamics. These points exist or emerge within a mathematical construct and are characterized as having no-dimensional properties while still being involved in kinetic energy alterations.

Implies the presence or emergence of points integral to the theoretical model of the pre-Big Bang scenario, where kinetic energy transformations occur in a framework devoid of standard dimensions. These points are not bound by conventional spatial measures but play a role in kinetic energy dynamics within this mathematically defined scenario.

Denotes the existence or emergence of points within the pre-Big Bang theoretical construct that participate in kinetic energy transformations while being devoid of conventional dimensions. These points are integral within the mathematical scenario and contribute to the dynamics of kinetic energy despite lacking dimensional attributes.

Suggests the presence or emergence of points within the pre-Big Bang model characterized by a lack of conventional dimensions and concurrently involved in kinetic energy alterations. These points, while mathematically defined without dimensionality, play a role in the kinetic energy dynamics within this theoretical construct.

Indicates the existence or emergence of points integral to the pre-Big Bang scenario, absent of conventional dimensions, and engaged in kinetic energy transformations within the framework of a mathematical depiction of energy dynamics preceding the formation of space and time.

This interpretation underscores that within the theoretical framework describing the pre-Big Bang scenario, "No-dimensional Kinetic Points" affirm the presence or emergence of points integral to kinetic energy transformations while being devoid of conventional dimensions, existing or emerging within a mathematically defined scenario.

Additional Equations:

Equation for Potential Energy in a Zero-Dimensional System:

ΔE₀ₚ = k₀(Δx - x₀)²

In the context of the presented theoretical framework describing the pre-Big Bang scenario and considering the presence or emergence of mathematically noticeable changes or events, the equation for potential energy in a zero-dimensional system, ΔE₀ₚ = k₀(Δx - x₀)², could be interpreted as follows:

Represents a mathematical formulation describing potential energy within a zero-dimensional system before the Big Bang. This equation signifies the potential energy (ΔE₀ₚ) related to the system as described by the function k₀(Δx - x₀)², where 'k₀' symbolizes a constant associated with this mathematical abstraction, potentially set as 1 due to the absence of known fundamental forces other than the unified gravitational force within this theoretical framework and (Δx - x₀) symbolizes infinitesimal displacement from a reference point x₀ within this 0-dimensional state.

Indicates a potential energy expression that characterizes a system devoid of conventional dimensions, aligning with the conceptualization of a pre-Big Bang scenario. This equation symbolizes the potential energy state within a mathematical construct where spatial dimensions are not explicitly defined.

Implies a mathematical representation describing the potential energy dynamics within a theoretical framework preceding the emergence of conventional space and time. The equation ΔE₀ₚ = k₀(Δx - x₀)² embodies the notion of potential energy alterations within a system lacking standard dimensions, reflecting a mathematical scenario before the Big Bang.

Suggests a potential energy equation applicable to a zero-dimensional system in the theoretical construct preceding the Big Bang. This equation, ΔE₀ₚ = k₀(Δx - x₀)², illustrates the potential energy variations concerning parameters 'Δx' and 'x₀', representing a mathematical depiction of pre-dimensionless energy states.

Represents a mathematical formula depicting potential energy changes within a system devoid of traditional spatial dimensions, as envisioned in the theoretical framework preceding the Big Bang. The equation ΔE₀ₚ = k₀(Δx - x₀)² signifies potential energy variations and their mathematical characterization within this pre-Big Bang conceptual model.

In summary, the equation ΔE₀ₚ = k₀(Δx - x₀)², within the context of the pre-Big Bang scenario emphasizing mathematically noticeable changes or events, serves as a mathematical representation describing potential energy alterations within a zero-dimensional system preceding the emergence of conventional dimensions.

Quantization of Energy at a Zero-Dimensional System:

At the zero-dimensional system level, the quantization of energy may not adhere to Planck's constant h as in the Planck Equation. Instead, considering the proportional relationship between energy E₀ₚ and oscillation frequency f₀ within a zero-dimensional context, it can be represented as:

E₀ₚ = ∞f₀

In the context of the presented theoretical framework describing the pre-Big Bang scenario and considering the presence or emergence of mathematically noticeable changes or events, the quantization of energy at a zero-dimensional system level, specifically the relationship between energy (E₀ₚ) and oscillation frequency (f₀), can be affirmatively interpreted as follows:

Describes a mathematical proposition regarding the quantization of energy within a zero-dimensional system preceding the Big Bang. This equation E₀ₚ = ∞f₀ signifies a connection between energy and an infinite oscillation frequency (∞f₀) within this theoretical framework.

Implies that within the conceptualization of a zero-dimensional system before the Big Bang, the quantization of energy might not adhere to Planck's constant 'h' as observed in the Planck Equation. Instead, it suggests an infinite frequency (∞f₀) as a proportional factor to the energy (E₀ₚ) within this pre-dimensionless scenario.

Represents a mathematical relationship portraying how energy (E₀ₚ) in a zero-dimensional context might be quantized concerning an infinite oscillation frequency (∞f₀). This equation, E₀ₚ = ∞f₀, emphasizes the theoretical nature of energy quantization in this pre-Big Bang model.

Suggests a different quantization approach for energy (E₀ₚ) within a zero-dimensional system before the Big Bang, departing from Planck's constant 'h'. Instead, it posits an association between energy and an infinite oscillation frequency (∞f₀) as depicted by the equation E₀ₚ = ∞f₀ in this mathematical scenario.

Portrays a conceptualization where the quantization of energy (E₀ₚ) in a zero-dimensional context preceding the Big Bang could be linked to an infinite oscillation frequency (∞f₀). This equation E₀ₚ = ∞f₀ reflects a mathematical representation illustrating the relationship between energy and frequency within this theoretical framework.

In summary, the equation E₀ₚ = ∞f₀, within the context of the pre-Big Bang scenario emphasizing mathematically noticeable changes or events, suggests a connection between energy quantization and an infinite oscillation frequency in a zero-dimensional system before the emergence of conventional dimensions.

Force and Gravitational Potential Representation in a Zero-Dimensional System:

∞U₀ₚ = ∫ ΔU₀ₚ dV₀

The equation ∞U₀ₚ = ∫ ΔU₀ₚ dV₀ encapsulates the representation of the gravitational potential at infinity concerning the change in gravitational potential over the volume of a zero-dimensional system. Within the theoretical framework exploring the state preceding the Big Bang, this equation highlights the concept that infinite gravitational potential (∞U₀ₚ) can be calculated by integrating the alterations in gravitational potential (∫ ΔU₀ₚ) over the volume (dV₀) of a zero-dimensional space. This equation signifies an attempt to mathematically describe the relationship between gravitational potential and changes occurring within a zero-dimensional scenario, offering insights into the representation of forces and potentials within this speculative context before conventional spatial and temporal dimensions emerge.

The Theoretical Modification of x₀ = A₀ ⋅ sin(ω₀t₀ + ϕ₀) with t₀ → Δ₀/∞f₀:

x₀ = A₀ ⋅ sin(ω₀t₀ + ϕ₀) changed by the condition t₀ → Δ₀/∞f₀.

The expression "x₀ = A₀ ⋅ sin(ω₀t₀ + ϕ₀) with t₀ → Δ₀/∞f₀" describes an alteration made to the equation involving x₀. This equation represents a specific mathematical property determined by parameters such as A₀, ω₀, t₀, and ϕ₀.

It proposes a modification in the variable t₀ within the context of x₀ = A₀ ⋅ sin(ω₀t₀ + ϕ₀) by substituting t₀ with the expression Δ/∞f₀. This replacement signifies a theoretical adjustment or re-evaluation of the time parameter t₀ within the previously mentioned scenario associated with the pre-Big Bang.

This alteration could potentially affect the behaviour or representation of x₀, which is a mathematical property influenced by A₀, ω₀, t₀, and ϕ₀. By introducing the substitution t₀ → Δ₀/∞f₀, it indicates a change in the timing parameter within the described speculative scenario.

The transformation "t₀ → Δ₀/∞f₀" implies a shift or replacement in the value of t₀. This change involves substituting t₀ with the expression Δ₀/∞f₀, indicating a modification in the original time parameter t₀ by a ratio or relationship involving Δ₀ (Delta₀) and ∞f₀ (Infinity multiplied by f₀).

This modification could suggest a theoretical reassessment or adaptation of the time parameter t₀ within the previously discussed pre-Big Bang scenario. It might potentially impact or modify the behaviour or representation of x₀ concerning A₀, ω₀, and ϕ₀ within that specific scenario.

High-Frequency Oscillation in Abstract Mathematical Context: t₀ = y(t₀) = A₀⋅sin (2πf₀t₀+ϕ₀):

The equation t₀ = y(t₀) = A₀⋅sin (2πf₀t₀+ϕ₀) represents an ongoing, rapid oscillation without discrete time points within an abstract mathematical framework. This depiction occurs within the context where the frequency (f₀) is infinite (∞ Hz) and involves the transformation t₀ → Δ₀/∞f₀.

This statement reaffirms the earlier explanation, emphasizing that the equation t₀ = y(t₀) = A₀⋅sin (2πf₀t₀+ϕ₀) signifies a continuous, high-frequency oscillation without specific time intervals. It illustrates this concept within the mathematical context where the frequency (f₀) is ∞ Hz and involves the substitution of t₀ by the expression Δ₀/∞f₀.

At Big Bang Onwards but before Planck Scale:

16. An Optimum Eventful Existential Points:

In the context of the evolving universe before the Planck Scale, the concept of 'An Optimum Eventful Existential Point' signifies a critical transitional phase just before reaching the Planck Scale, marked by significant transformations and pivotal events. This transitional phase, while crucial, encapsulates specific mathematical and energetic changes that pave the way for the emergent cosmos.

This phase witnesses a momentous transformation involving the manifested optimal potential energy, wherein a substantial decrease in this energy triggers instantaneous and rapid expansions, leading to the formation of diverse spatial dimensions. This diminishment of manifested optimal potential energy plays a central role in initiating these rapid expansions just before the Planck Scale, demonstrating a crucial phase of cosmic evolution.

Moreover, these expansions, despite the increase in wavelength (λ₀ ∝ 1/f₀), drive exceptionally high expansion speeds due to the non-constant ratio ℓP/tP. This unique characteristic contributes to the rapid and profound nature of spatial expansion during this critical pre-Planck Scale phase.

In a broader sense, 'An Optimum Eventful Existential Point' encompasses not only this specific energy transformation but also various other pivotal events and transitions within the pre-Planck Scale era. These events represent discernible instances that drive the mathematical framework defining the universe's evolution before the Planck Scale, contributing significantly to our understanding of this specific phase in cosmic development.

Therefore, this concept embodies both the specific transformative energy decrease and its consequences for spatial expansion just before the Planck Scale, as well as the broader spectrum of pivotal events and transitions crucial to the evolving universe within the pre-Planck Scale context.

17. Dimensional Oscillation of all Points:

The assertion 'Dimensional Oscillation of all Points' within the context from the Big Bang onwards but preceding the Planck Scale, this statement signifies a pivotal description in the mathematical depiction, considering the presence of mathematically observable changes or events before reaching the Planck Scale.

This assertion suggests that within the evolving mathematical framework, there exists a systematic oscillation across dimensions that impacts every point in the evolving universe. It conveys the affirmative notion that each point within this mathematically describable model undergoes consistent and cyclical variations across dimensional attributes.

The term 'Dimensional Oscillation' affirms the concept that every point in the universe, within this mathematical context, experiences periodic fluctuations in its dimensional characteristics. These fluctuations encompass alterations in spatial dimensions or parameters defining the geometrical attributes of these points.

However, it is essential to note that during the specific transitional phase just before reaching the Planck Scale, the understanding of 'Dimensional Oscillation of all Points' undergoes a profound transformation. This phase, marked by significant energy transformations and rapid expansions detailed in the interpretation for Statement no. 16, defines the nature and scope of dimensional oscillations.

While the overarching concept remains that points experience dimensional fluctuations, this transitional phase introduces unique characteristics in these oscillations. The previously uniform and systematic dimensional oscillations may experience fluctuations in their regularity or characteristics, influenced by the significant energy transformations triggering rapid expansions.

Therefore, 'Dimensional Oscillation of all Points' remains a fundamental characteristic within the evolving mathematical scenario from the Big Bang onwards but before reaching the Planck Scale. However, the profound transformations and rapid expansions occurring just before the Planck Scale may introduce distinct alterations in the regularity or nature of these oscillations, impacting the evolving cosmos during this critical pre-Planck Scale phase.

18. Gravitational Oscillation of all Dimensional Point:

The statement 'Gravitational Oscillation of all Dimensional Points,' positioned within the context from the Big Bang onwards but preceding the Planck Scale, represents a significant characteristic within the evolving mathematical scenario, acknowledging the emergence or presence of mathematically observable changes or events before reaching the Planck Scale.

This assertion affirms that within this evolving mathematical framework, every dimensional point within the universe experiences systematic and consistent oscillations in their gravitational attributes. The term 'Gravitational Oscillation' emphasizes the concept that each dimensional point undergoes periodic or cyclical variations in its gravitational characteristics.

However, in light of the transitional phase just before reaching the Planck Scale, marked by transformative energy changes and rapid expansions as elaborated in the interpretation for Statement no. 16, the understanding of 'Gravitational Oscillation of all Dimensional Points' undergoes redefinition.

While the overarching concept remains that points experience gravitational fluctuations, this specific transitional phase introduces unique characteristics in these oscillations. The uniform and systematic gravitational oscillations may experience alterations in their regularity or nature, influenced by the substantial energy transformations triggering rapid expansions.

Therefore, 'Gravitational Oscillation of all Dimensional Points' remains a fundamental characteristic within the evolving mathematical scenario from the Big Bang onwards but before reaching the Planck Scale. However, the profound transformations occurring just before the Planck Scale may introduce distinct alterations in the regularity or nature of these gravitational oscillations, impacting the evolving cosmos during this critical pre-Planck Scale phase.

19. Expansive Oscillation of all Dimensional Points:

The assertion 'Expansive Oscillation of all Dimensional Points,' positioned within the mathematical scenario from the Big Bang onwards but preceding the Planck Scale, acknowledges the presence or emergence of mathematically observable changes or events in this transitional phase.

This statement signifies that each dimensional point, within the evolving mathematical framework depicting the universe's evolution post-Big Bang and before reaching the Planck Scale, undergoes rhythmic and systematic expansion. The term 'Expansive Oscillation' conveys a pattern of expansion observed across all quantifiable points within the evolving cosmic representation.

However, considering the interpretation for Statement no. 16, which emphasizes substantial energy transformations leading to rapid expansions just before the Planck Scale, the understanding of 'Expansive Oscillation of all Dimensional Points' evolves in this particular transitional phase.

While the overall idea remains that points experience expansion, this transitional phase introduces unique characteristics in these expansive oscillations. The regular and rhythmic nature of these expansions undergo alterations or intensifications influenced by the significant energy transformations driving rapid expansions, particularly as the universe approaches the Planck Scale.

Therefore, 'Expansive Oscillation of all Dimensional Points' remains a fundamental attribute within the evolving mathematical framework from the Big Bang onwards but before reaching the Planck Scale. However, the substantial energy transformations just before the Planck Scale may introduce distinctive alterations or intensifications in the regularity or intensity of these expansive oscillations, significantly shaping the universe during this critical pre-Planck Scale phase.

20. Optimum Oscillation of all Associated Points:

In the context of the mathematical framework delineating the evolution from the Big Bang to the Planck Scale and acknowledging the emergence or presence of mathematically discernible changes or events, the statement 'Optimum Oscillation of all Associated Points' signifies a structured and synchronized pattern of oscillation across interconnected points.

This assertion explicitly conveys the existence of an optimized oscillatory behaviour encompassing all correlated or related points within the mathematically characterized depiction of the universe. The term 'Optimum Oscillation' represents a refined, precise, or regulated mode of oscillation observed across all associated points during the specified duration from the Big Bang to the Planck Scale.

However, considering the interpretation for Statement no. 16, which accentuates substantial energy transformations leading to rapid expansions just before the Planck Scale, the understanding of 'Optimum Oscillation of all Associated Points' evolves in this particular transitional phase.

While the overall idea remains that points experience an optimized oscillation, this transitional phase introduces unique characteristics to these oscillations. The regular and synchronized nature of these oscillations undergo alterations or intensifications influenced by the significant energy transformations driving rapid expansions, particularly as the universe approaches the Planck Scale.

Therefore, 'Optimum Oscillation of all Associated Points' remains a fundamental attribute within the evolving mathematical framework from the Big Bang to the Planck Scale. However, the substantial energy transformations just before the Planck Scale may introduce distinctive alterations or intensifications in the regularity or intensity of these optimized oscillations, significantly shaping the universe during this critical pre-Planck Scale phase.

In the context of the mathematical framework representing the evolution from the Big Bang to the Planck Scale and considering the emergence or presence of mathematically perceivable changes or events, the statement "Optimum Oscillation of all Associated Points" affirms a definitive and structured pattern of oscillation across interconnected points.

This assertion explicitly conveys the existence of an optimized oscillatory behaviour that encompasses all correlated or related points within the mathematically characterized depiction of the universe. The term "Optimum Oscillation" signifies a highly refined, ideal, or precisely regulated mode of oscillation observed across all associated points during this specified duration from the Big Bang until the Planck Scale.

The inclusion of "all Associated Points" underscores that this optimized oscillation is pervasive and systematically prevalent across every point linked or interconnected within this evolving mathematical representation. It suggests a synchronized and precisely orchestrated oscillatory pattern affecting every relevant or associated point within this mathematically depicted cosmic evolution.

This description emphasizes that the oscillation of points follows a structured and defined behaviour within this mathematical representation of the universe, extending from the inception of the Big Bang and persisting until the Planck Scale. It highlights the existence of a synchronized and idealized oscillation observed across all relevant or associated points within this mathematically depicted cosmic scenario during this specific temporal phase.

21. Expanded Dimensional Oscillation of all Associated Points:

At Planck Time Onwards: (considering the presence or emergence of mathematically noticeable changes or events)

At the Planck scale, the concept of 'Expanded Dimensional Oscillation of all Associated Points' encapsulates the universe's oscillatory behaviour, particularly focusing on the interrelation between wavelength (λ), frequency (f), and energy transformation within this framework.

The equation λ ∝ 1/f observed at the Planck scale demonstrates an inverse relationship between wavelength (λ) and frequency (f). As the wavelength increases, indicative of spatial expansion, the frequency decreases. This reduction in frequency corresponds to a decrease in the energy (E) associated with the oscillation, aligning with the equation E = hf.

In light of the transformative processes occurring before the Planck scale, particularly as delineated in the interpretation for Statement no. 16, substantial energy transformations lead to rapid expansions during this transitional phase. These expansions originate from the diminishment of optimal potential energy (E₀ₚ) converting into manifested optimal form (E₀ₖ) through the expansion of collective energetic oscillation points (∫ ΔE₀ₖ dx), initiating rapid spatial expansions in various directions.

This interpretation signifies that as the manifested optimal potential energy decreases, a significant portion of the released energy drives instantaneous and rapid expansions, giving rise to spatial dimensions in diverse directions. Despite the increase in λ₀ (∝ 1/f₀), the ℓP/tP ratio experiences non-constant fluctuations due to Planck-scale limitations. It is noteworthy that the ℓP/tP ratio also becomes constant at the Planck scale, contributing to the understanding of the universe's dynamics within this framework.

Consequently, this dual nature of the ℓP/tP ratio results in exceptionally high expansion speeds attributed to the minute scale of λ₀. The interpretation emphasizes the intricate relationship between wavelength, frequency, energy transformations, and rapid expansions specifically at the critical Planck scale. It underscores how the diminishment of optimal potential energy triggers expansions, forming spatial dimensions across various directions, contributing significantly to the speculative model's dynamics before conventional dimensions manifest.

01 January 2024

Planck's Groundbreaking Discovery: The Quantization of Frequencies and Energies into Planck's Constant.

Max Planck's ground breaking work in the late 19th and early 20th centuries propelled the development of quantum theory and the establishment of Planck's constant (commonly represented as h) as a fundamental cornerstone in physics. It's crucial to note that Planck's revelation concerning Planck's constant did not stem merely from experimental endeavours. Instead, it emerged from a fusion of his theoretical insights and attempts to elucidate experimental observations.

Planck delved into investigating the enigma of black-body radiation, which denotes the electromagnetic radiation emitted by an ideal absorber or emitter of radiation. His objective was to fathom and explicate the observed spectrum of radiation emitted by objects at varying temperatures.

Initially, Planck approached this conundrum from a theoretical standpoint, endeavouring to reconcile observed experimental data using assumptions grounded in classical physics. However, he encountered a critical hurdle known as the "ultraviolet catastrophe." Classical physics predicted an infinite increase in radiation intensity at shorter wavelengths, contrary to experimental findings.

In response, Planck made a profound theoretical leap by introducing the notion that energy is not continuously emitted or absorbed, as posited by classical physics, but rather in discrete units or quanta. He postulated that the energy of these quanta is directly proportional to the frequency of the radiation, with Planck's constant (h) emerging as the constant of proportionality.

This revolutionary hypothesis led Planck to formulate an equation accurately describing the observed black-body radiation spectrum. Planck's constant emerged as a critical factor in this equation, demonstrating that electromagnetic radiation's energy is quantized and exists solely in multiples of this constant multiplied by the radiation's frequency.

Planck's insights sparked a paradigm shift in physics, laying the groundwork for quantum mechanics and culminating in his receipt of the Nobel Prize in Physics in 1918. His discovery of Planck's constant remains a foundational pillar in modern physics, profoundly impacting our comprehension of matter and energy behaviour at the quantum level.

Max Planck's momentous contribution to physics emerged in 1900 when he proposed his quantum theory, challenging the prevailing classical physics by suggesting that energy is emitted or absorbed in discrete units or "quanta" instead of continuously.

Planck introduced the concept that electromagnetic energy, such as light, is emitted or absorbed in discrete packets or multiples of a fundamental unit known as "quanta" or "quantum" (singular). This theory laid the groundwork for quantum mechanics and gave birth to the concept of Planck's constant (denoted as h), a fundamental constant in nature.

In simpler terms, Planck's constant signifies the minimum energy carried by a single quantum of electromagnetic radiation. This constant establishes a threshold for energy levels and frequencies, signifying that all emitted or absorbed energy exists in multiples of this fundamental value.

For example, according to Planck's theory, one could emit light at 10,000 quanta of energy or at 10,001 quanta but not at a fractional value like 10,000.5 quanta. Energy levels are quantized and cannot exist between whole numbers of quanta.

This discovery revolutionized our comprehension of light and energy behaviour, paving the way for quantum mechanics and significantly contributing to technological advancements like semiconductor technology, lasers, and various other applications in modern physics.

Planck units

Planck units represent physical constants which are theoretical limits at the quantum level, which is the fabric of reality manipulated by Type Omega-minus. Quantum fluctuations exceeding these limits could break down the fabric of spacetime and reality and create rifts into other realms or dimensions.

At Planck scales, the strength of gravity becomes comparable with the other forces, and the fundamental forces are unified. String theory was the early approach to realize the Theory of Everything.

The scale was created by Max Planck in 1906, constructed solely out of the three fundamental constants:

Speed of light	c = 299792458 ms^-1
Gravitational constant	G = 6.673(10) x 10^-11 m³ kg^-1 s^-2
Plank’s constant	= h/2π = 1.054571596(82) x 10^-34 kg m² s^-1

Unit

Scale

Comment

Planck length

1.616 x 10⁻³⁵ m

If a particle or dot about 0.1 mm in size (the diameter of human hair) were magnified in size to be as large as the universe, then inside that universe-sized dot, the Planck length would be roughly the size of an 0.1 mm dot. In other words, it would take more Planck lengths to span a grain of sand than it would take grains of sand to span the observable universe.

Planck mass

2.176 x 10⁻⁸ kg

An object of such mass would be a quantum black hole created at Planck time, with a Schwarzschild diameter of Planck length. This paper attempts to explain why the Planck mass is so large compared to other fundamental particles. Each time the indivisible particles that make an electron (for example) have travelled the reduced Compton wavelength of the electron, they counter-strike. The electron is therefore in a mass state only a fraction of the time. This is why the Planck mass can be so enormous compared to the electron rest-mass and still make up the electron as well as any other subatomic particle. The number of uncertain transitions between mass and energy for an electron is 7.76 x 10²⁰ times per second. An electron is only 9.109 x 10^-31 kg, or 2.389x10²² particles per Planck mass.

Planck time	5.391 x 10⁻⁴⁴ s	In the Big Bang, the Planck epoch or Planck era is the earliest stage before the time passed was approximately 10⁻⁴³ seconds.
Planck temperature	1.417 x 10³² K (kelvin)	It's a billion billion times the highest natural temperatures in the current universe, found in gamma-ray bursts and quasars. This is absolute hot, conceived as an opposite to absolute zero. Everything 5×10⁻⁴⁴ seconds after the Big Bang. Kugelblitzes.
Planck area	10⁻⁷⁰ m²	Planck length squared. According to the Bekenstein bound, the entropy of a black hole is proportional to the number of Planck areas that it would take to cover the black hole's event horizon.
Planck volume	10⁻¹⁰⁵ m³	Planck length cubed. A quantum black hole is contained within a Planck volume. There are about 10¹⁸⁶ Planck volumes in the universe.
Planck energy	10⁹ J (joules)	A quantum black hole must have Planck mass and Planck energy such that its escape velocity exceeds the speed of light.
Planck energy density	10^-29 g/cm³	Analogous to Planck's law which describes the spectral density of electromagnetic radiation emitted by a black body.
Planck charge	10⁻¹⁸ C (coulombs)	The electric potential energy of one Planck charge on the surface of a sphere that is one Planck length in diameter is one Planck energy,
Planck force	10⁴⁴ N (newtons)	The amount of force required to accelerate one Planck mass by one Planck acceleration
Planck density	10⁹⁶ kg/m³	Equivalent to the mass of the universe packed into the volume of a single atomic nucleus.
Planck pressure	10¹¹³ Pa (pascals)	Equal to one Planck force in one Planck area. It is the gravitational force of attraction between two equal sized universes all concentrated on one fourth of Planck Area.
Planck acceleration	10⁵¹ m/s²	The acceleration due to gravity at the surface of a Planck mass or quantum black hole.
Planck frequency	10⁴³ /s	Upper bound for the frequency (vibrations per second) of an electromagnetic wave.

31 December 2023

Interconnectedness of Planck Units: Relationships Among Time, Frequency, and Wavelength in Fundamental Physics:

Author ORCiD: 0000-0003-1871-7803

DOI: 10.13140/RG.2.2.26181.63207

In Reference: The value 1.498×10⁻⁴⁶ seconds is very relevant to Planck scale:

My assertion is that since, the fundamental aspects of Planck units, where different fundamental physical constants are intertwined in a manner that one unit's value relates to another in a significant way.

In the realm of Planck units, the Planck time (tP) represents the smallest unit of time that can be meaningfully defined based on fundamental physical constants. Simultaneously, the Planck frequency (fₚₗₐₙₖ) is the highest frequency that can be defined, inversely proportional to Planck time (Tₚₗₐₙₖ).

Further, my assertion that 1/360 part of the Planck time (Tₚₗₐₙₖ) corresponds to 1/360 part of the Planck wavelength (λₚₗₐₙₖ) and also 1/360 degree of the time period (Tₚₗₐₙₖ) of the Planck frequency, based on the interconnectedness of these fundamental Planck units.

Therefore, since 1.498×10⁻⁴⁶ seconds is indeed 1/360 of the Planck time (Tₚₗₐₙₖ), it aligns with the idea that this value represents a fraction of both the Planck wavelength (λₚₗₐₙₖ) and the time period (Tₚₗₐₙₖ) of the Planck frequency in the context of the interconnectedness and relationships between these fundamental Planck units

A clarification or elaboration of my claim for accuracy is as follows:

Planck Time and Planck Frequency Relationship: It is accurate that Planck time (Tₚₗₐₙₖ) is considered the smallest unit of time in the context of Planck units. The assertion that Planck frequency (fₚₗₐₙₖ) is inversely proportional to Planck time. Planck frequency is indeed the highest possible frequency defined as the inverse of Planck time (fₚₗₐₙₖ = 1/Tₚₗₐₙₖ).

Interconnectedness of Planck Units: The interconnectedness of Planck units is a fundamental aspect. These units are defined based on fundamental physical constants, and their values are related to one another. The assertion that a fraction of Planck time corresponds to a fraction of Planck wavelength and also a fraction of the time period of Planck frequency indicates an understanding of the relationships between these units.

Relationship between 1/360 of Planck Time, Wavelength, and Frequency: The claim that 1/360 of Planck time corresponds to 1/360 of Planck wavelength and 1/360 degree of the time period of Planck frequency is logical, considering the interconnectedness of these fundamental units.

Validation of 1.498 × 10⁻⁴⁶ Seconds as 1/360 of Planck Time: The assertion that 1.498 × 10⁻⁴⁶ seconds represents 1/360 of Planck time aligns with the idea that this value is a fraction of both the Planck wavelength and the time period of the Planck frequency. This validation seems consistent with the relationships among these Planck units.

In summary, although my statement accurately outlines the relationship between Planck's time, frequency, and wavelength and their interconnected nature, it is important to remember that these concepts derive from theoretical physics and are part of a complex framework that describes the fundamental nature of the universe. The claims made in the statement aligns with established understandings of Planck units and their relationships.

Application of this information:

28 December 2023

ResearchGate Question: Is the frequency of 5.15×10⁴⁰ Hz associated with the Big Bang at the 0-dimensional point theoretically meaningful according to the Planck scale?

"The apparent frequency threshold of 5.15 × 10⁴⁰ Hz at the 0-dimensional point is a significant theoretical threshold associated with the Big Bang scenario. This threshold signifies a high rate of oscillation or change within the theoretical framework, potentially representing a fundamental point where theoretical physics postulates a transition or event marking the origin of the universe. It serves as a hypothetical marker or boundary within theoretical discussions about the early universe and the conditions prevailing during the initial stages of the Big Bang.
At this frequency, the energy density or intensity of physical processes might be incredibly high, potentially pointing towards extreme conditions present during the cosmic inflation phase or at the onset of the universe's expansion. The theoretical implications of this threshold are that more advanced theories, such as quantum gravity, are needed to comprehend the physical phenomena occurring at such extreme scales."

This question contemplates the significance of exploring frequencies beyond the Planck threshold, particularly 5.15 × 10⁴⁰ Hz, associated with the 0-dimensional point within a theoretical framework linked to the Big Bang scenario. While the Planck length defines the smallest meaningful measurement of length within our current understanding and perception, the query raises a fundamental consideration about the mathematical or hypothetical significance of probing beyond this threshold.

The discussion questions the notion that the Planck length's limitation might solely stem from our current perceptual constraints beyond the Planck scale. It suggests that while our perception might be limited, mathematical explorations and theoretical frameworks could potentially extend beyond these perceived limitations. Therefore, the inquiry focuses on the theoretical and mathematical implications of investigating frequencies beyond the Planck threshold, questioning whether such explorations hold significance within the realm of theoretical physics and cosmology.

Author's response to the first reply.

Thank you for your response regarding the frequency threshold of 5.15 × 10⁴⁰ Hz associated with the 0-dimensional point in the context of the Planck scale and theoretical physics. I appreciate your engagement on this topic.

Your points raise important considerations, and I'd like to provide a detailed perspective regarding the derivation and theoretical significance of the mentioned frequency within the context of the Big Bang scenario and Planck units.

Frequency's Theoretical Significance:

Your response expressed scepticism about the theoretical meaningfulness of the 5.15 × 10⁴⁰ Hz frequency without providing specific reasoning for its dismissal. The derivation of this frequency involved mathematical equations utilizing fundamental constants, notably Planck Time and Planck Frequency. This process was fundamental in establishing the frequency associated with the 0-dimensional state within the theoretical framework of the early universe.

Understanding Planck Units Beyond Dimensional Analysis:

Your viewpoint suggested that Planck units simply reflect dimensional analysis. However, it's essential to note that Planck units derive from fundamental physical constants such as the speed of light, gravitational constant, reduced Planck constant, and Boltzmann constant. They signify scales where conventional physics might not adequately describe phenomena. Thus, they extend beyond mere dimensional analysis, signifying profound physical implications.

Derivation of 5.15 × 10⁴⁰ Hz Frequency:

The derivation process involved specific equations that relate frequency, time differences, and phase shifts, utilizing constants like Planck Time and Planck Frequency. Through this method, the frequency associated with the 0-dimensional state was calculated to be approximately 5.15 × 10⁴⁰ Hz. This derivation was carried out within the theoretical construct of the Big Bang scenario, signifying a fundamental frequency linked to the early universe.

The derived frequency using the following method:

Utilizing an equation representing the relationship between frequency (f), time difference (Δt), and phase shift T(deg):

T(deg) = (1/f) × (1/360)

Incorporating Planck Time (tP) = 5.391247 × 10⁻⁴⁴ seconds and Planck Frequency (fₚₗₐₙₖ) = 1.498 × 10⁴³ Hz into the derivation process.

Solving for the frequency at the 0-dimensional threshold (f₀): f₀ = 1/(Δt × 360);

Resulting in f₀ ≈ 5.15 × 10⁴⁰ Hz, reflecting the frequency associated with the 0-dimensional state within the provided theoretical framework.

This methodological derivation, grounded in established equations and fundamental constants, signifies the theoretical significance of the derived frequency within the context of the Big Bang scenario and the Planck scale, providing a deeper understanding of the theoretical constructs used to ascertain such frequencies.

In short, the derivation of the 5.15 × 10⁴⁰ Hz frequency involved rigorous mathematical processes and considerations of fundamental constants, establishing its theoretical significance within the context of the early universe and the Planck scale.

Thank you for engaging in this discussion, and I welcome any further insights or discussions on this topic.

Best regards,

Authors response1 to William Bray

<<The idea that Gravitation fails at the Planck scale...>>

The universe began as a singularity, a point with zero volume and infinite density containing all the energy of the universe. Then the big bang occurred, rapidly expanding all that energy with enough ferocity to overpower the inward pull of gravity so we can tell that gravity was present during those early moments,

The concept of Gravitation failing at the Planck scale, as suggested by your counterargument, appears to be invalidated by the well-established understanding of the universe's early moments, particularly the Big Bang.

The Big Bang theory posits the universe's origin as a singularity, which was a point of infinite density and zero volume. This singularity represents a state where the gravitational force was active, and the known laws of physics couldn't be firmly established due to the extreme conditions prevailing at that point.. As the universe rapidly expanded during the Big Bang, it overcame gravitational forces due to an immense outward force, allowing the universe to evolve.

Given that gravity played a role during the universe's initial moments, suggesting its presence and influence at a stage far beyond the Planck scale, challenges the notion of Gravitation failing at that scale. Since the big bang, gravity has countered the force exerted by the inflation, slowing the velocities of the universes' expanding energy.

Therefore, Bray's contention regarding the failure of gravitation at the Planck scale might not hold true when considering the universe's early moments.

Regards,

Authors response2 to Mr. Ahmed M. Elsayed ,

I trust this message finds you well. I wanted to extend my gratitude for your insightful contribution to the discussion on exploring the limits of existence within the universe. Your elucidation of the Planck Length and its significance in theoretical physics was both comprehensive and rational. It provided a profound understanding of the critical role this fundamental scale plays in shaping our comprehension of the universe.

Your discussion on the "Unknown Gap" greatly resonates with my perspective. The mysteries surrounding dark energy and dark matter indeed constitute significant enigmas within our current understanding. Your insight into their potential existence beyond the Planck scale highlights a crucial aspect—that without technological advancements, our ability to observe or measure these phenomena might remain elusive.

The suggestion that the scales for measuring dark energy and dark matter might extend beyond the Planck scale raises the possibility that we may never observe or measure these entities physically, unless substantial technological advancements enable such measurements.

Your emphasis on new physics models, including string theory and the quantum theory of gravity, is encouraging. While these models are pivotal in advancing our comprehension of the universe, it's equally imperative to explore the theoretical landscape pre-Big Bang. Understanding the pre-Big Bang state can significantly enhance our insights into post-Big Bang phenomena, such as the models you mentioned.

I wholeheartedly agree with your view that advancements in technology, scientific research, and interdisciplinary collaboration hold immense promise in expanding our knowledge of the universe's unknown aspects and its existence limits. It's through continuous dedication, exploration, and collaboration that we move closer to unravelling the mysteries that have intrigued humanity for centuries.

Best regards,

Author's reply to Mr. Sergey Shevchenko,

Thank you immensely for your thought-provoking insights into the fundamental structure of the universe and the Planck scale. Your detailed description of the informational physical model offers a unique perspective on the foundational elements underlying the cosmos.

I find your concept of a dense lattice of primary elementary logical structures intriguing. However, I am pondering whether the building blocks of these structures within the lattice might be frequency-based. My understanding aligns with the idea that oscillatory or vibrational frequencies serve as the essence of existence, constituting energy and the fundamental forces of the universe. Therefore, ascertaining whether frequency is the fundamental element within these structures is a pivotal question.

Regarding disturbances within this lattice representing everything in matter, I am eager to delve deeper into this notion. Understanding what these disturbances entail is crucial to grasp how they translate into observable phenomena within the framework of the universe's formation.

Your emphasis on fundamental constants deriving from more foundational Planck constants resonates deeply with the concept of the Planck scale, which acts as a nexus point intertwining gravity, quantum mechanics etc. It's fascinating to consider how these constants are interconnected and contribute to our understanding of the universe.

I agree with your viewpoint on gravity and the notion that particles with a mass equal to the Planck mass might offer a different perspective than the conventional idea of "black holes" as distortions in spacetime. The concept of mass and its correlation to spacetime distortions needs further exploration, and your perspective sheds light on alternative interpretations.

Your informational conception presents a compelling framework, and I am eager to explore its implications further. Your contributions undoubtedly open new avenues for understanding the universe's intricacies and its fundamental elements.

Warm regards,

Researcher ORCiD:
0000-0003-1871-7803