ResearchGate Discussion Photon Dynamics: The equation F = −Mᵃᵖᵖ·aᵉᶠᶠ.
26 November, 2024
Dear Researcher André Michaud,
Thank you for your thoughtful and insightful reply to my discussion post regarding the equation Fₚₕₒₜₒₙ = Mᵉᶠᶠ·aᵉᶠᶠ and its application to photon dynamics in gravitational fields. I deeply appreciate the attention you have drawn to the part of my statement:
"This results in a consistent, negative force propelling the photon away from the gravitational well. Essentially, the photon accelerates from rest to its characteristic speed of light almost instantaneously, driven by this force."
Your reference to de Broglie's conditions published in the 1930s, which require a localized photon to obey Maxwell's equations by being self-propelling and self-guiding in a straight line by default, provides robust theoretical support to my framework. The concept that the photon's self-propelling nature arises from half of its energy propelling the other half is a profound insight that aligns well with the dynamics described in my extended classical mechanics approach.
In particular, your point reinforces the interpretation of the negative force in my equation Fₚₕₒₜₒₙ = Mᵉᶠᶠ·aᵉᶠᶠ, where the photon's total energy (inclusive of its gravitational interaction energy Eg and intrinsic energy E) generates a negative force. This force is critical for the photon's:
Escape from the Gravitational Well: Enabling the photon to overcome the gravitational pull and propagate outward.
Maintenance of Constant Speed (c): Allowing the photon to self-propel and maintain its characteristic speed irrespective of external influences.
The connection you have drawn to de Broglie's hypothesis not only strengthens the theoretical basis of my work but also highlights the consistency between classical mechanics extensions and quantum-mechanical principles. This intersection is invaluable for advancing our understanding of photon behaviour in gravitational contexts and its broader cosmological implications.
I am also intrigued by your reference to your article, "De Broglie’s Double-Particle Photon (Expanded republication PI)," which delves into the energy dynamics and the mechanical aspects of photon properties. I look forward to studying your work further, as it appears to offer significant insights into the photon’s energy circulation and structural dynamics.
Once again, I extend my gratitude for your participation and thoughtful contribution to this discussion. Your support adds depth and rigor to the exploration of photon energy-momentum interactions in gravitational fields and further validates the findings presented in my research.
Best regards,
Soumendra Nath Thakur
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