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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