Extended Classical Mechanics: Vol-1 - Equivalence Principle, Mass and Gravitational Dynamics

EasyChair Preprint 14879, version history

Version	Date	Pages	Version notes
1	September 14, 2024	12
2	September 16, 2024	13	Revision 1: In this version, corrections were made to address typographical errors in the equations, particularly ensuring the correct representation of apparent mass (Mᵃᵖᵖ) and its role in the modified form of Newton’s second law. The formatting of variables and subscripts has been standardized for consistency. Additionally, the section on the equivalence principle was clarified to specify that, in the context of classical mechanics, the matter mass (Mᴍ) accounts for contributions from both normal matter and dark matter. This ensures that the effective gravitational mass (Mɢ) reflects the total mass of the system, in accordance with the equivalence principle. These revisions enhance the explanation of how effective mass (Mᵉᶠᶠ) and apparent mass influence the system’s dynamics, improving both accuracy and clarity in the presentation of the theoretical framework.
3	November 20, 2024	15	20 November 2024 Revision Statement: The preprint research "Extended Classical Mechanics: Vol-1 - Equivalence Principle, Mass and Gravitational Dynamics" has been updated to incorporate two additional sections: "Relativistic Rest Energy and Its Role in Gravitational Dynamics" and "Dynamic Interplay of Potential Energy, Mass, and Kinetic Energy". These sections provide deeper insights into the integration of relativistic concepts, the nuanced relationships among energy forms, and their influence on effective mass and gravitational interactions. Accordingly, the Discussion and Conclusion sections have been revised to reflect these expanded theoretical contributions, enhancing the overall scope and coherence of the research.

Keyphrases: Apparent mass, Equivalence Principle, Extended Classical Mechanics, Gravitating Mass, Gravitational Dynamics, Gravitational Mass, Matter Mass, Negative Mass, Newton’s Law of Universal Gravitation, dark energy, dark matter, effective mass

BibTeX entry

BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:

@booklet{EasyChair:14879,
  author    = {Soumendra Nath Thakur},
  title     = {Extended Classical Mechanics: Vol-1 - Equivalence Principle, Mass and Gravitational Dynamics},
  howpublished = {EasyChair Preprint 14879},
  year      = {EasyChair, 2024}}