A Symmetry and Conservation Framework for Photon Energy Interactions in Gravitational Fields:

EasyChair Preprint 15422

Abstract

This study extends the framework for photon energy interactions within gravitational fields by distinguishing between intrinsic photon energy (E) and gravitational-interaction energy (Eg). The investigation builds upon prior research concerning symmetrical energy and momentum exchanges, emphasizing how photons, while traversing gravitational wells, gain and expel Eg symmetrically, without altering their intrinsic energy (E). This distinction demonstrates that as photons move through gravitational fields, they acquire Eg from the field, which is expended as they exit the gravitational influence, preserving their inherent energy.

We analyse the behaviour of photon and graviton dynamics to illustrate how Eg accumulates when photons approach gravitational wells and is symmetrically released as they move away. This results in curved photon trajectories reflecting balanced gravitational-interaction energy exchanges. The refined model bridges classical and relativistic perspectives on gravitational lensing and redshift, offering deeper insights into energy conservation and symmetry principles governing photon behaviour in gravitational fields.

This framework clarifies the photon’s dual energy components—E and Eg—each with distinct interactions under gravitational influence. The study underscores the importance of distinguishing these energies to better understand the mechanics of gravitational redshift, energy conservation, and the overall behaviour of photons within varying gravitational potentials.

Keyphrases: Energy conservation in gravitational fields, Energy-momentum symmetry, Gravitational interaction energy, Photon graviton dynamics, Photon momentum exchange, Redshift, blueshift, gravitational lensing, photon energy

@booklet{EasyChair:15422,
  author    = {Soumendra Nath Thakur},
  title     = {A Symmetry and Conservation Framework for Photon Energy Interactions in Gravitational Fields:},
  howpublished = {EasyChair Preprint 15422},
  year      = {EasyChair, 2024}}