09 September 2024

Time: Real or Abstract Emergence Through Existence and Events?


By Soumendra Nath Thakur
ORCiD: 0000-0003-1871-7803

Revised on 09-09-2024

In human psychology, time is a conscious experience, encompassing existence and events. In cosmology and physical sciences, time is generally defined as the indefinite, continuous progression of existence and events in a uniform and irreversible sequence, moving from the past, through the present, and into the future. This progression is considered as a whole and is referred to as the fourth dimension, beyond the three spatial dimensions.

Time serves as a measurement to quantify changes in material reality. The SI unit of time is the second, defined by measuring the electronic transition frequency of caesium atoms. Time is also one of the seven fundamental physical quantities in both the International System of Units (SI) and the International System of Quantities.

From a physics perspective, time is typically defined by its measurement: it is what a clock reads. Thus, time is viewed as a fourth-dimensional consideration — a concept rather than a tangible entity. While existence and events occupy three-dimensional space, time is thought to reside in a fourth dimension.

Furthermore, time and space differ not only in their characteristics but also in their dimensions. Time belongs to an imperceptible hyper-dimension, while space exists in the perceptible three dimensions. Due to this dimensional difference, they cannot form an alliance. Anything beyond the three dimensions of space is unreachable for us, including the dimension of time.

This leads to a pertinent question: “If time is not directly reachable, then what is the time that a clock reads?”

A scientific answer to this question is that cosmic time is defined as the abstract progression of real existence and events. Therefore, the time read by a clock is a physical manifestation of cosmic time through a standardized frequency count, as per the SI standard. Clock time represents a near approximation of cosmic time, manifested in the order of cosmic time. However, there is always a distortion between real time (as indicated by a clock) and conceptual time (cosmic time), primarily due to the effects of gravitational influence.

Gravity affects mass or energy, resulting in a distortion of the oscillation rate of clocks. Consequently, a clock's time is influenced by gravity, while abstract cosmic time remains unaffected by events, maintaining a uniform succession relative to existential events.

Clocks are designed to represent a uniform manifestation of real time by maintaining standardized frequencies, but gravity affects the uniform progression of time in clock mechanisms by altering their oscillation. This necessitates periodic adjustments in oscillation to ensure consistency, even for atomic clocks, which require daily automatic adjustments.

In conclusion, time is an abstract concept, whereas clock time is a real manifestation of this abstraction, approximated and subject to distortion by external influences like gravity.

Clarification on Time Distortion and Phase Shifts in Relation to Falling Clocks

09-09-2024

Dear Mr. Robert A. Phillips,

Thank you for your response concerning falling clocks.

However, the focus of our discussion is "Dark Energy as a By-Product of Negative Effective Mass," and a question about falling clocks is not directly relevant to this topic. Addressing your question on falling clocks might not contribute to the core discussion on Dark Energy and its Negative Effective Mass. I would encourage keeping our conversation focused on the specific topic at hand.

Regarding your statement that a falling clock closer to Earth oscillates more slowly than one at a higher position, leading to a reduction in subatomic kinetic energy proportional to the square of the relative clock rate:

Please note that, scientifically, a clock closer to Earth actually oscillates faster, not more slowly, than one at a higher altitude due to the stronger gravitational force at Earth's surface. This results in a more energetic condition, where higher energy corresponds to a higher frequency and therefore a higher oscillation rate, according to Planck's equation, E=hf.

Your statement seems to touch on how a falling mass under Earth's gravitational force undergoes deformation due to strain, which causes corresponding changes in its dimensions, as explained by Hooke's Law. Furthermore, gravitational force affects the internal subatomic and molecular structure of the falling mass, leading to strain and deformation in accordance with force-mass equations in classical mechanics.

Consequently, the oscillation of the atomic clock is affected, leading to distortion in the clock's time readings. My research paper, titled "Relativistic Effects on Phase Shift in Frequencies Invalidate Time Dilation II," provides a comprehensive explanation and solution to this issue. You can access it at this URL: Relativistic Effects on Phase Shift in Frequencies Invalidate Time Dilation II.

This research demonstrates that variations in gravitational forces (G-forces) cause internal particles of matter to interact, resulting in stresses and deformations within the matter. Distortions in wavelength due to phase shifts in relative frequencies directly correspond to time distortions, as described by the relationship λ∝T, where λ represents the wavelength and T the period of oscillation. Relativistic effects, such as differences in speed or gravitational potential, influence the clock's mechanism through phase shifts in frequencies, resulting in increased wavelengths of clock oscillations and subsequent errors in time readings. These phase shifts, linked to an increase in the wavelength of clock oscillations, cause time distortion.

Experiments conducted with piezoelectric crystal oscillators in electronic laboratories have shown that wave distortions correspond to time distortions due to relativistic effects. The time interval T(deg) for a 1° phase shift is inversely proportional to the frequency (f), indicating that a wave corresponds to a time shift.

For example, a 1° phase shift on a 5 MHz wave corresponds to a time shift of 555 picoseconds (ps).

• For a 1° phase shift, T(deg) = T/360. Since T=1/f, we have:
• 1° phase shift = T/360 = (1/f)/360.
• For a wave with a frequency f = 5 MHz, the phase shift (in degrees) can be calculated as:
• T(deg)= (1/5,000,000)/360 = 555 ps = Δt.

Thus, for a 1° phase shift in a wave with a frequency of 5 MHz and a wavelength λ = 59.95 m, the corresponding time shift (or time delay) Δt is approximately 555 ps.

Therefore, as a falling clock approaches the Earth's surface, it reverses the magnitude of its deformation, thereby reversing the magnitude of time distortion. The phase shift in the oscillation frequency can be used to calculate the magnitude of this time distortion using the following formula:

• For a 1° phase shift: T(deg) = (1/f)/360 = Δt or,
• For an x° phase shift: Δtₓ = x(1/360f₀)

For more details, please refer to my research paper, "Phase Shift and Infinitesimal Wave Energy Loss Equations," available at this URL: Phase Shift and Infinitesimal Wave Energy Loss Equations.

Best regards,

Soumendra Nath Thakur

08 September 2024

Mechanical and Cosmic Mass Descriptions in Closed Systems:


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

08-09-2024

Abstract:

This study provides a detailed examination of the mechanical and cosmic mass descriptions within closed systems, focusing on the mass dynamics in galactic clusters and the universe under extended classical mechanics. The total gravitating mass (Mɢ) within a galactic cluster is presented as the sum of matter mass (Mᴍ), which includes both dark and baryonic matter, and dark energy effective mass (Mᴅᴇ), a negative mass component representing dark energy’s "antigravity" effects. The study also defines matter mass density (ρᴍ) and dark energy density (ρᴅᴇ) and relates these to the total mass of the universe (Mₜₒₜₐₗ). In the context of extended classical mechanics, the effective mass (Mᵉᶠᶠ) combines apparent mass (Mᵃᵖᵖ) with matter mass to describe the gravitational dynamics within a system. This formulation, Mɢ = Mᵉᶠᶠ, allows for the integration of apparent mass and dark energy effects, demonstrating how these components influence the gravitational behaviour in closed systems.

Keywords: Galactic Clusters, Dark Energy, Effective Mass, Matter Mass Density, Gravitational Dynamics

1. Total Mass within Galactic Cluster:

Mɢ = Mᴍ + Mᴅᴇ

Matter Mass (Mᴍ): Represents the total mass of both dark matter and baryonic matter within a specified radius of the galactic cluster.
Dark Energy Effective Mass (Mᴅᴇ): Defined as a negative mass component arising from the gravitational effects of dark energy. It accounts for dark energy's contribution as a uniform background, resulting in an "antigravity" effect.
Gravitating Mass (Mɢ): The total effective mass determining the gravitational dynamics of the cluster, combining matter mass and dark energy effective mass.

2. Matter Mass Density within Galactic Cluster:

The density of matter mass (ρᴍ) within the Coma Cluster is given by:

ρᴍ = Mₜₒₜₐₗ/V 

where Mₜₒₜₐₗ is the total mass of matter, and V is the volume of the cluster.

3. Effective Mass Density of Dark Energy within Galactic Cluster:

The density of dark energy (ρᴅᴇ) in the universe is:

ρᴅᴇ = Eᴅᴇ/V 

where Eᴅᴇ represents the total energy of dark energy, and V is the volume. In cosmological models, ρᴅᴇ is often uniform and related to the cosmological constant (Λ).

4. Total Mass of the Universe:

The total mass of the universe combines matter mass and dark energy effective mass:

Mₜₒₜₐₗ = Mᴍ + Mᴅᴇ

5. Total Mass within a System in Extended Classical Mechanics:

The effective mass of dark energy (Mᴅᴇ) is always negative and is greater in magnitude than the combined matter mass (Mᴍ):

Mᴅᴇ > Mᴍ

• Mechanical Effective Matter Mass (Mᵉᶠᶠ): 

This can be positive or negative, depending on the relative magnitudes of matter mass and apparent mass. The effective mass is the difference between matter mass and apparent mass (Mᵃᵖᵖ):

Mᵉᶠᶠ = Mᴍ + (−Mᵃᵖᵖ)

where Mᵃᵖᵖ is always negative.

Mechanical Effective Mass Characteristics:

Positive when  Mᴍ>∣Mᵃᵖᵖ∣ 
Negative when Mᴍ<∣Mᵃᵖᵖ∣

Mass Equation in Extended Classical Mechanics:

Mɢ = Mᵉᶠᶠ 

Matter Mass (Mᴍ): Represents the total mass of both dark matter and baryonic matter within a system.
Apparent Mass (Mᵃᵖᵖ): Defined as a negative mass component arising from gravitational effects and the motion of mass within the system. It reflects the contribution of the mass in motion as a negative value affecting the effective mass.
Gravitating Mass (Mɢ): The total effective mass determining the gravitational dynamics of the system. It is equivalent to the mechanical effective mass (Mᵉᶠᶠ).
Effective Mass (Mᵉᶠᶠ): Defined as a mass component that combines the effects of apparent mass and matter mass. It accounts for the system’s gravitational dynamics, incorporating the "antigravity" effect that occurs when apparent mass exceeds the magnitude of matter mass.

This formulation describes the total gravitating mass (Mɢ) as equivalent to the mechanical effective mass (Mᵉᶠᶠ). The effective mass (Mᵉᶠᶠ) reflects the combined effects of apparent mass and matter mass within the system. The apparent mass is a negative component that influences the effective mass, creating an "antigravity" effect when it exceeds the matter mass.

List of Terms:

Eᴅᴇ: Total Energy of Dark Energy — The total energy associated with dark energy within a given volume.
Mᵃᵖᵖ: Apparent Mass — The mass component associated with negative values that affects the effective mass calculation.
Mᴅᴇ: Dark Energy Effective Mass — The negative mass component resulting from dark energy’s gravitational effects.
Mᴍ: Matter Mass — The total mass of matter, including dark matter and baryonic matter, within a specified volume.
Mᵉᶠᶠ: Mechanical Effective Matter Mass — The effective mass that can be positive or negative, derived from the difference between matter mass and apparent mass.
Mɢ: Gravitating Mass — The total effective mass determining gravitational dynamics within the system.
ρᴅᴇ: Dark Energy Density — Density of dark energy in the universe.
ρᴍ: Matter Mass Density — Density of matter mass within a given volume of the cluster.

Universal Mass and Dark Energy: Understanding Cosmic Phenomena

08-09-2024
Soumendra Nath Thakur

Exploring the effects of dark energy and universal mass is essential for understanding fundamental cosmic phenomena like the Big Bang. Even though dark energy and the Big Bang singularity can be abstract and less understood, their influence on the universe’s dynamics is observable and significant. By studying these effects, we can gain valuable insights into the early universe and its evolution. Our approach to examining the universal content and gravitational dynamics aligns well with a broader scientific method, integrating observations and theoretical models to build a more comprehensive understanding of cosmic phenomena.

07 September 2024

Beyond General Relativity: Photon Symmetry in Gravitational Fields and the Universe

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

07-09-2024

This mathematical presentation explores the behaviour of photons in strong gravitational fields, revealing a symmetrical relationship between photon energy changes and gravitational fields. The equations:

E = hf; ρ = h/λ; ℓₚ/tₚ (Equation 1)
Eg = E + ΔE = E − ΔE; E = Eg (Equation 2)
Eg = E + Δρ = E − Δρ = E; h/Δλ = h/−Δλ (Equation 3)
Eg = E; Δρ =−Δρ; ℓₚ/tₚ (Equation 4)

demonstrate the consistency of photon energy in gravitational fields, highlighting the symmetrical effects of wavelength changes due to gravity. This symmetry contradicts general relativity's predictions, suggesting that the theory might be incomplete or incorrect in this context. By engaging with alternative perspectives and addressing the contradictions raised by these equations, we can foster a deeper understanding of the universe and its underlying laws, ultimately working towards a more complete and accurate description of reality.

The pursuit of knowledge in science is exemplified by valid and established lines of inquiry that challenge the concept of curvature in general relativity. This ongoing refinement of our understanding of the universe is a testament to the dynamic nature of scientific inquiry. Researchers and theorists have proposed alternative perspectives on spacetime, gravity, and reality, aiming to address general relativity's limitations and inconsistencies.

The observed symmetry, where photons gain energy approaching a gravitational well and lose energy leaving it, may hold the key to refining our understanding of spacetime and gravity. This phenomenon, described by the equations Eg = E + ΔE = E - ΔE (Equation 2) and h/Δλ = h/-Δλ (Equation 3), contradicts general relativity's predictions and aligns with other scientific disciplines and mathematical frameworks.

This discrepancy suggests that general relativity might be incomplete or incorrect in this context, warranting further exploration and refinement. Alternative theories, such as quantum gravity and flat spacetime theories, may offer a more comprehensive explanation for this phenomenon. By engaging with these diverse perspectives and addressing the contradictions raised by the equations, we can foster a deeper understanding of the universe and its underlying laws, ultimately working towards a more complete and accurate description of reality.