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