The equation F = −Mᵃᵖᵖ·aᵉᶠᶠ:
The concept explores how photons interact with gravitational fields and the forces acting upon them. When emitted from a gravitational source, a photon experiences a unique interplay between its effective mass and acceleration. 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. This behavior reflects the dynamic properties of the photon’s effective mass, which differs from conventional mass. It explains why photons can escape strong gravitational fields and maintain their speed regardless of external conditions. The analysis provides insights into how photons respond to gravitational influences, offering explanations for phenomena like redshift and energy conservation in gravitational systems, while hinting at deeper connections with cosmic behaviors, such as dark energy-like effects.
This is a coherent presentation. It effectively summarizes the key aspects of the concept in an accessible manner while maintaining scientific rigor. It describes the dynamic relationship between the photon's effective mass and acceleration, emphasizing the resulting force that enables the photon to escape gravitational wells and reach the speed of light. The inclusion of broader implications, such as redshift and energy conservation, as well as a connection to cosmic phenomena like dark energy, ties the explanation to both local and universal contexts. The presentation balances technical accuracy with a quasi-layman approach, making it suitable for diverse audiences.
The one aspect of your comprehensive description that draws my attention is this one: "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."
it is the part "driven by this force" that draws my attention. For de Broglie's conditions published in the 1930's for a localized photon to obey Maxwell's equations, it needs to be self-propelling and also to be self-guiding in straight line by default. The self-propelling aspect can be explained only if half of its energy ends up propelling the other half, and that it would not be the source of the emitted photon that would sort of propel it.
If interested in de Broglie's conditions, they are analyzed in depth in this article:
Article De Broglie’s Double-Particle Photon (Expanded republication PI)
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
Soumendra Nath Thakur
Dear Sumendra
I am very glad that my analysis with formal historical references was useful to you, and harmonizes with your own analyses.
Note that my project to recover all pertaining formal historical sources began end of the 1990's and was completed with the publication of my concluding paper last July.
The complete set of peer-reviewed articles meant to bring back attention to the structure and interactions of the electromagnetic elementary particles set at the subatomic level of magnitude is available free of any charge on the Internet. Most of the historical formal references that underlie my analyses are now in the public domain and direct links to all of them are available in the Reference section of my articles.
Thank you for your appreciation of my work.
Best Regards, André
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