Extended Classical Mechanics (ECM) Statement on Gravitational Mediation of Reversible Mass-Energy Conversion:

Soumendra Nath Thakur | June 25, 2025

In Extended Classical Mechanics (ECM), gravitational force is not limited to curving spacetime or merely attracting masses. Instead, it actively mediates reversible conversions between energy and mass through dynamic interactions that reflect deeper energetic structures.

This interpretation is powerfully supported by Appendix 10 (DOI: http://doi.org/10.13140/RG.2.2.23866.91849), which reconstructs gravitational conditions in pre-universal phases — where gravitational interactions existed prior to the emergence of rest mass, light, or spacetime. Under such primordial conditions, gravitational fields are treated as energetic gradients capable of triggering mass emergence (ΔMᴍ) from energetic instabilities, and vice versa.

Unified Gravitational-Energetic Mediation (from ECM + Appendix 10 & 12):

1. Mass Emergence via Gravitational-Energetic Thresholds:

   • Appendix 10 shows that gravitational preconditions, when reaching critical thresholds, result in the emergence of mass (Mᴍ) from pure energetic gradients (e.g., from virtual or unbound energy states).

     This supports the ECM idea that:

             ΔMᴍ = hf/c²

     is not just valid locally (Appendix 12), but cosmologically, even pre-universally.

2. Reversibility Across Gravitational Domains:

   • Gravity doesn’t just attract — it regulates mass-energy symmetry and transition. Under acceleration (aᵉᶠᶠ), gravitational input facilitates mass gain (photon absorption); under deceleration (−aᵉᶠᶠ), it facilitates **mass loss** (photon emission), maintaining:

             Eₜₒₜₐₗ = KEᴇᴄᴍ + PEᴇᴄᴍ + ΔMᴍc²

3. Pre-Spacetime Continuity:

   • Appendix 10 also implies that gravitational fields existed before defined spacetime metrics, providing a substrate for energy-mass emergence. This aligns with ECM’s core proposal that mass is an emergent condition of gravitational-energetic interaction, not a fixed, primary constituent.

Formal ECM Proposition (Integrated from Appendix 10 + 12):

Proposition (ECM Gravitational Mediation Principle):

Gravitational interaction in ECM functions as a mediator of reversible mass-energy conversion.

This mediation is governed by effective acceleration (aᵉᶠᶠ) and energetic gradients (−ΔPEᴇᴄᴍ), both in observable domains (Appendix 12) and primordial pre-universal contexts (Appendix 10).

Gravitational force thus not only influences motion, but actively governs mass emergence, loss, and transformation, as part of a continuous energetic field dynamic.