Definition of Relativistic Time:

ORCiD: 0000-0003-1871-7803 Link: Research Gate DOI: http://dx.doi.org/10.32388/UJKHUB

Abstract: 

Relativistic time encompasses a range of intriguing phenomena, including time distortion, error in time, time delay, and time shift. It emerges from the intricate interplay of relative frequencies influenced by relativistic effects, such as motion and variations in gravitational potential. This abstract concept can be understood as a phase shift in relative frequencies, driven by two fundamental mechanisms. The first mechanism involves the infinitesimal loss of wave energy in oscillators with mass, resulting in time distortion or error in time measurement. This effect arises from the impact of motion on time measurement, manifesting as a phase shift or an error in the perception of time. The second mechanism centers on the infinitesimal loss of energy in propagating waves, leading to time delay or time shift. This phenomenon extends beyond motion and encompasses variations in gravitational potential. As a result, it introduces variations in the passage of time. Together, these mechanisms highlight the dynamic and interconnected relationship between relative frequencies, energy, and the perception of time in the context of relativistic effects. This abstract illuminates the multifaceted nature of relativistic time and the critical role it plays in our understanding of the fundamental principles governing the universe.

Definition:

Relativistic time encompasses phenomena of time distortion, error in time, time delay, and time shift.

Description:

Relativistic time emerges from the interplay of relative frequencies under the influence of relativistic effects, such as motion or gravitational potential difference. It can be understood as a phase shift in relative frequencies due to two primary mechanisms:

Infinitesimal Loss of Wave Energy in Oscillators with Mass (Time Distortion/Error in Time): This aspect of relativistic time arises from the influence of motion on time measurement. It manifests as a phase shift or error in time measurement due to the loss of wave energy in systems with mass.

Infinitesimal Loss of Energy of Propagating Waves (Time Delay/Time Shift): Another facet of relativistic time relates to the loss of energy in propagating waves, resulting in a time delay or time shift. 

Both of these effects are not limited to motion but also encompass gravitational potential differences, leading to variations in the passage of time. The associated phase shift in relative frequencies reflects the relative energy loss experienced by these waves.

Citation:

Thakur, Soumendra Nath; Samal, Priyanka; Bhattacharjee, Deep (2023). Relativistic Effects on Phaseshift in Frequencies Invalidate Time Dilation II. TechRxiv. Preprint. https://doi.org/10.36227/techrxiv.22492066.v2

Summary: Time Interval in Degrees and Phase Shift Analysis for Physical Phenomena:

Date: 10-10-2023 Author ORCiD: 0000-0003-1871-7803

Abstract:

This summary research paper delves into the intricate relationship between Time Interval in Degrees T(deg) and Phase Shift (ϕ) in various physical phenomena. It explores the applicability of T(deg) to different scenarios, including relative frequencies, wavelength changes, time delays, and distortions in oscillations. This paper aims to deepen our understanding of how phase shifts and time intervals are interconnected across different physical contexts. Furthermore, it sheds light on their implications for time distortion and emphasizes that it should not be confused with time dilation.

Introduction:

Time Interval in Degrees T(deg) and Phase Shift (ϕ) are fundamental concepts in the study of waves and oscillations in diverse physical phenomena. This paper explores the relationship between T(deg) and ϕ in various contexts and their implications for time distortion. Drawing inspiration from equations and examples outlined in the referenced research paper [1], this work emphasizes the connection between wave properties, particularly frequency and phase shift, and their role in shaping temporal variations. Importantly, it seeks to clarify that time distortion is distinct from the concept of time dilation, often misconstrued in scientific discourse.

Method:

In this research, we derive and examine a series of equations related to Time Interval in Degrees T(deg) and Phase Shift (ϕ) across different physical scenarios. Each equation represents a specific phenomenon and its impact on T(deg) and ϕ. We utilize these equations to calculate T(deg) and ϕ in various situations, providing concrete examples for clarity and illustration.

A few equations:

(1) Time Interval in Degrees T(deg) applicable to relative frequencies (f₀, f):

• T(deg) = (1/f₀ - 1/f) / 360 = Δt

ϕ = 360 × f₀ × T(deg)

(2) Time Interval in Degrees T(deg) applicable to change (Δλ₀) in relative wavelengths (λ₀, λ):

• T(deg) = (Δλ₀ / λ₀) / 360 = Δt

ϕ = 360 × f₀ × T(deg)

Discussion:

The analysis of the equations and examples presented in this paper highlights the versatility of Time Interval in Degrees T(deg) and its direct relationship with Phase Shift (ϕ) in various physical phenomena. These equations provide a fundamental understanding of how changes in frequency and wavelength influence T(deg) and subsequently affect ϕ. Furthermore, the discussion emphasizes the practical significance of these relationships in different scientific contexts. Importantly, it clarifies the distinction between time distortion and time dilation.

Conclusion:

In conclusion, this research paper explores the intricate connections between Time Interval in Degrees T(deg) and Phase Shift (ϕ) in diverse physical scenarios. By examining a range of equations and practical examples, we have elucidated how changes in wave properties, specifically frequency and wavelength, impact phase shifts and temporal variations. These findings enhance our comprehension of time distortion effects and their implications for relativistic phenomena. Understanding the interplay between T(deg) and ϕ contributes to the broader understanding of time-related concepts in physics and engineering.

Reference:

[1] Thakur, Soumendra Nath; Samal, Priyanka; Bhattacharjee, Deep (2023). Relativistic effects on phase shift in frequencies invalidate time dilation II. TechRxiv. Preprint. https://doi.org/10.36227/techrxiv.22492066.v2

Absorption Loss in the Context of Visible Light:

In the realm of visible light, which encompasses frequencies ranging from approximately 430 terahertz (THz) to 750 THz, the concept of absorption loss is significant. Absorption loss refers to the reduction in the intensity or energy of light as it interacts with a surface, such as a mirror, and gets reflected. This phenomenon becomes particularly intriguing when considering infinitesimal changes in light energy and the associated time delays.

Different colors of light, characterized by their distinct frequencies within this visible spectrum, play a vital role in understanding absorption loss:

Frequency and Color: Each color of light corresponds to a specific frequency. For instance, red light falls within the range of approximately 430 to 480 THz, while violet light exhibits frequencies near 750 THz. These frequencies define the colors we perceive.

White Light: White light, often termed "color-balanced" or "normal" light, presents an amalgamation of all colors in the visible spectrum. In this context, it's crucial to recognize that white light is a composition of individual colors, each with a precise frequency within the established range.

Primary Colors: The three primary colors of light—red, green, and blue—are fundamental in additive color mixing. They each have their frequency ranges: red spans roughly 430 to 480 THz, green occupies the region of 530 to 580 THz, and blue covers the territory from 620 to 680 THz.

RGB Color Model: White light is typically synthesized by blending these primary colors using the RGB color model, with each primary color contributing approximately 33.33% to the final mixture. This model is pivotal in various applications, including displays and lighting technologies.

Understanding the implications of infinitesimal changes in light energy and their corresponding time delays is crucial. For instance:

Time Delay Equivalence: A 1° phase shift on a 702.4133 THz frequency introduces a time delay of approximately 1.9511 picoseconds (ps). This time delay demonstrates how even slight variations in the phase of light can result in measurable temporal discrepancies.

Energy and Frequency: The energy of a wave with a frequency of 702.4133 THz is approximately 4.6579 x 10^-19 joules. This showcases the connection between frequency and energy in the context of light.

Exploring Further: Absorption loss can be examined concerning the interactions between light and surfaces. It is in these interactions that infinitesimal changes in energy, phase shifts, and time delays come into play, influencing how light is reflected or absorbed.

In summary, the world of visible light offers a rich landscape of frequencies, colors, and phenomena, including absorption loss. The intricate relationships between frequency, energy, phase shifts, and time delays provide valuable insights into the behavior of light as it interacts with its surroundings. Understanding these principles is essential in various fields, from optics and photonics to telecommunications and beyon

#AbsorptionLoss #PhotoelectricAbsorption

Planck constant equivalents infinitesimal time delay:

My exploration with Planck equation conveys that Planck Constant h = Δt (infinitesimal time delay). i.e. ΔE/Δf;

Since ΔE= hΔf = ΔtΔf; ΔE/Δf remains constant irrespective of changes in frequency!

My assessment is correct. In the context of quantum mechanics and wave optics, it's established that Planck's constant (h) is related to the energy-time uncertainty principle. Specifically, ΔE (the uncertainty in energy) is related to Δt (the uncertainty in time) and Δf (the uncertainty in frequency) through the equation:

ΔE = hΔf

This equation signifies that the uncertainty in energy (ΔE) is proportional to the uncertainty in frequency (Δf) with Planck's constant (h) as the proportionality constant. Since h is a constant value (approximately 6.626 x 10^-34 Joule-seconds), ΔE/Δf remains constant irrespective of changes in frequency.

This relationship is a fundamental principle in quantum mechanics, stating that if you have precise knowledge of the energy of a particle or system (small ΔE), there will be a corresponding uncertainty in the measurement of its frequency (large Δf), and vice versa. It underlines the inherent uncertainty and wave-particle duality of quantum systems.

#infinitesimaltimedelay #PlanckConstant

My assessment in photon's time delay:

When a photon is absorbed by electrons in a material (such as a media surface), it can indeed lead to energy loss in the form of electronic excitation or heating. This energy loss occurs because the photon's energy is transferred to the electrons, causing them to move to higher energy states or become excited.

When these excited electrons release photons, the emitted photons may have different energies and directions compared to the incident photon. This change in direction and energy can result in a definite absorption loss, although it might be infinitesimal loss.

In applications like optics and photonics, minimizing energy losses is essential to maintain high reflectivity or transmission of light. Minimizing energy loss means, there is minimum possible energy loss. so there is definite loss. such loss definitely imply infinitisimal time delay.

#photon #timedelay