26 October 2024

ResearchGate discussion: Is Spacetime Curvature the True Cause of Gravitational Lensing?

The discussion link

This discussion questions the conventional explanation of gravitational lensing as a result of spacetime curvature. Instead, it explores an alternative view, proposing that gravitational lensing arises from momentum exchange between photons and external gravitational fields. By analysing the symmetrical behaviour of photons, such as their energy gain (blueshift) and loss (redshift) around massive objects, this perspective challenges general relativity and opens the door to quantum gravity and flat spacetime models. The discussion aims to refine our theoretical understanding of how light and gravity truly interact.

Conceptual Foundation of the Discussion:
A photon, representing light, carries inherent energy denoted as E. As the photon ascends from the gravitational well of its emission source, it loses part of this energy, resulting in a redshift (increase in wavelength, Δλ>0). However, the photon’s behaviour changes significantly when it encounters a strong external gravitational field.
As the photon approaches a strong gravitational body, it undergoes a blueshift (decrease in wavelength, Δλ<0) due to its interaction with the external gravitational field. This shift occurs as a result of electromagnetic-gravitational interaction, causing the photon to follow an arc-shaped trajectory. During this process, the photon’s momentum increases, described by the relation Δρ = h/Δλ, where h is Planck’s constant. This momentum gain reflects the gravitational influence on the photon's trajectory.
Completing half of the arc path (1/2 arc) around the gravitational body, the blueshift transitions into a redshift (Δλ>0) as the photon begins to lose momentum (Δρ=h/Δλ). This process indicates a symmetrical momentum exchange, where the photon experiences a balanced gain and loss of external energy (Eg), preserving symmetry in its overall energy behaviour.
Importantly, while the photon undergoes these external changes in wavelength, momentum, and energy during its trajectory around the gravitational body, it retains its inherent energy (E). The only exception occurs when the photon loses energy (ΔE) while escaping the gravitational well of its source. Thus, despite these external interactions, the photon’s inherent energy remains conserved, except for the loss associated with its initial emission.
After bypassing the gravitational field, the photon resumes its original trajectory, maintaining its inherent energy (E) and continuing unaffected by further gravitational influences.

Soumendra Nath Thakur added a reply

Dear Mr. Preston Guynn Mr. Esa Säkkinen and Mr. Julius Chuhwak Matthew
This discussion addresses the question, "Is Spacetime Curvature the True Cause of Gravitational Lensing?" and critically examines the conventional explanation, which attributes gravitational lensing to spacetime curvature. Instead, it proposes an alternative perspective in which gravitational lensing results from momentum exchange between photons and external gravitational fields. This conclusion is supported by analysing symmetrical photon behaviours, such as energy gain (blueshift) and loss (redshift) near massive objects, which reveal the actual mechanisms driving gravitational lensing—distinct from the spacetime curvature model proposed by general relativity. This discourse aims to refine our theoretical understanding of the fundamental interactions between light and gravity.
The scientific foundation of this perspective, as articulated in the study "Photon Interactions with External Gravitational Fields: True Cause of Gravitational Lensing," rests on established quantum and classical mechanics principles—specifically, Planck’s energy-frequency relation E=hf and the photon momentum-wavelength relation ρ=h/λ. These equations illustrate how photons experience symmetrical energy shifts (blueshift and redshift) through gravitational interactions, offering a basis for lensing that preserves inherent photon energy and frames gravitational influence as an external, rather than intrinsic, interaction.
Together, these equations suggest that momentum exchange between photons and gravitational fields effectively account for lensing effects. The study’s analyses of photon energy conservation and symmetrical behaviour near massive bodies provide an alternative mechanism for gravitational lensing, distinct from the spacetime curvature paradigm and posing a potential challenge to conventional interpretations. This discourse thus emphasizes momentum exchange over relativistic spacetime curvature, aligning with the defined scope and goals outlined in the initial discussion.
For a comprehensive exploration of this study, please refer to the full text at
and
Warm regards,
Soumendra Nath Thakur

Relativistic Time Dilation and Phase Discrepancies in Clock Mechanics:

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

26-10-2024

Abstract:

This section of the research explores the concept of time dilation within the framework of special relativity, where dilated time t′ exceeds proper time t, impacting conventional clock measurements. By examining clock mechanics, where time is traditionally divided into 12 segments of 30° each, we analyse how time dilation disrupts this design, leading to “errored” time readouts when applied to a clock designed for proper time. Through comparisons with wave phase shifts and frequency, this study introduces a model where each degree of phase shift corresponds to a measurable time distortion. It reveals that a clock built for standard intervals is incapable of accurately reflecting relativistic time dilation, underscoring the challenge of measuring dilated time with conventional systems. This analysis provides insights into the physical limitations of traditional time-keeping devices in representing relativistic effects.

Keywords: Time dilation, proper time, special relativity, phase shift, clock mechanics, relativistic time measurement, time distortion, frequency,

Relativistic Time Dilation and Clock Mechanics:

According to special relativity, time dilation (denoted as t′) exceeds proper time (denoted as t), expressed as t′ > t. Special relativity shifts the concept of time from an abstract, independent quantity to one defined operationally: “time is what a clock reads.” In this framework, a clock measures proper time.

Structurally, a standard clock face divides 360 degrees into 12 equal segments, assigning 30° to each hour (360°/12). When the minute hand completes a full rotation (360°), it marks one hour, correlating the clock’s full rotation to one period, T=360°. Similarly, in wave mechanics, a full cycle of a sine wave spans 360° of phase, establishing a period  T = 360°. The frequency f of a wave is inversely related to its period T, given by T = 1/f. For each degree of phase in a sine wave, time shift per degree is expressed as T/360°, or 
(1/f)/360°. Extending this, for x° of phase, the time shift T(deg) = Δt = (x°/f)/360.

In the case of proper time t, a full oscillation corresponds to T = 360, yielding Δt = 0 by design. However, with time dilation, Δt′ > Δt, making Δt′ > 0. Therefore, for a 1° phase shift in Δt, we get Δt′ = (1° /f)/360°, and for an x° phase shift, Δt′ =(x°/f)/360°.

Applying this to a clock, each hour segment designed for proper time t measures exactly 30° (360°/12). If time dilation Δt′ stretches the interval to 361°, each segment would measure 361°/12 ≈ 30.08°, thus exceeding the clock’s 30° marking for proper time t. Consequently, the clock, designed for proper time, cannot precisely reflect the dilation in t′, resulting in an “errored” time readout.

This demonstrates that time dilation t′ represents a distorted time measurement on a clock originally designed for proper time t, highlighting the misalignment introduced by relativistic time dilation.