Mass does not warp the space-time as a photon travelling an arc path does not change its displacement time:

[Author ORCID: 0000-0003-1871-7803]

Summary: A photon exchanges momentum as it bypasses a large gravitational well during transit. The photon experiences a change in momentum and its path is bent as it interacts with the gravitational field. A photon simultaneously gains and loses momentum (p) from a gravitational interaction with a massive object. However, a photon maintains its relative path with speed c and covers the same distance (d) as compared to its constant speed. The curvature of the photon's path is understood in terms of the exchange of momentum experienced by the photon.

The argument presented here suggests that a photon traveling along an arc path in a strong gravitational field does not experience a change in its displacement time. The author notes that while the equation p = hf/c = h/λ (where p represents momentum, h is Planck's constant, f is frequency, and λ is wavelength) is commonly used, it is not a relativistic equation.

According to the article titled "Electromagnetic - Gravitational Interactions between Photons and Gravitational Masses," when a photon enters a strong gravitational field, it releases excess energy and converts it into momentum, causing the photon to travel along an arc path. However, in the absence of electromagnetic-gravitational field interactions, the photon should continue on its original path with constant speed, without gaining additional energy.

The article argues that regardless of whether the photon travels along a straight path or an arc path due to the influence of a gravitational field, it reaches points A and B at the same time. The relative times taken by the photon are said to remain constant, with the only difference being the additional energy gained and lost as the photon follows a curved path, while maintaining its relativistic speed.

It's important to note that this viewpoint may deviate from the mainstream understanding of relativistic effects and gravitational interactions. While the behavior of photons in strong gravitational fields is a topic of interest in physics, further research and empirical evidence are necessary to validate or refute the claims presented in the article.

Reference: A photon traveling an arc path does not change its displacement time:

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Abstract of the paper titled "Relativistic effects on phaseshift in frequencies invalidate time dilation II"

Open Paper titled Relativistic effects on phaseshift in frequencies invalidate time dilation II

1. The paper challenges the concept of time dilation in special relativity, arguing that it is actually a misinterpretation of wavelength dilation caused by relativistic effects.

2. The authors suggest that the equation for time dilation, t' = t / √ (1 - v²/c²) is incorrect and fails to explain the cause of time distortion.

3. They propose that time is an abstract and conceptual dimension, not influenced by relativistic effects such as speed or gravity, and it is the wave properties and corresponding wavelength distortions that lead to time distortions.

4. Experimental results using piezoelectric crystal oscillators demonstrate that phase shifts in frequencies correspond to time shifts due to relativistic effects.

5. The authors emphasize that time is an emergent concept related to events and should not be considered an entity affected by relativistic effects.

6. They conclude that the concept of time dilation is a misconception and that the observed effects are actually the dilation of wavelengths in clock oscillations, resulting in errors in clock readings.

Summary of the paper:

1. The paper challenges the concept of time dilation in special relativity and argues that it is based on a misconception. It suggests that the equation for time dilation, t' = t / √ (1 - v²/c²), is incorrect and proposes an alternative explanation for the observed phenomena.

2. The authors argue that proper time and relative time are not natural entities but rather emerging concepts with a mathematical nature. They question the idea of spacetime as a natural four-dimensional manifold and propose that it is a mathematical concept.

3. The paper suggests that the distortion of frequencies due to relativistic effects, such as speed or gravitational potential differences, leads to phase shifts in the oscillations of clocks. These phase shifts are associated with an increase in wavelength and are erroneously interpreted as time dilation.

4. The authors claim that relativistic effects cannot interact with proper time to produce time dilation, and they argue that time is an imperceptible fourth-dimensional concept that is not subject to real interference or influence from cosmic events.

5. Experimental results using piezoelectric crystal oscillators are presented to support the idea that wave distortions correspond to time shifts due to relativistic effects. The paper concludes that time dilation is actually wavelength dilation and challenges the conventional scientific definition of time.