A Dual Framework for Rest and Motion States: Energy and Mass Dynamics in Extended Classical Mechanics.

EasyChair Preprint 15655

Abstract

This study explores the foundational equations of Extended Classical Mechanics (ECM), offering a comprehensive framework for analysing energy and force interactions across distinct scenarios involving matter mass (Mᴍ), apparent mass (Mᵃᵖᵖ), and effective mass (Mᵉᶠᶠ). Key equations are presented, including the force equation, effective mass definition, and total energy balance. Two cases are examined: stationary objects with positive matter mass (Mᴍ > 0) and moving objects with zero matter mass (Mᴍ = 0). For the former, total energy is dominated by potential energy, with no contribution from kinetic energy. In contrast, the latter involves negative effective mass (Mᵉᶠᶠ<0) and energy dynamics primarily governed by kinetic energy, with potential energy contributing negatively. The findings highlight the duality of energy and mass interactions and provide novel insights into phenomena such as massless object behaviour and their interaction with gravitational fields.

Keyphrases: Apparent Mass (Mᵃᵖᵖ), Effective Mass (Mᵉᶠᶠ), Extended Classical Mechanics (ECM), Matter Mass (Mᴍ), Photon-Gravitational Interactions, Rest and Motion States, energy dynamics, negative effective mass

@booklet{EasyChair:15655,
  author    = {Soumendra Nath Thakur},
  title     = {A Dual Framework for Rest and Motion States: Energy and Mass Dynamics in Extended Classical Mechanics.},
  howpublished = {EasyChair Preprint 15655},
  year      = {EasyChair, 2025}}