11 July 2025

Definition of Gravity in Extended Classical Mechanics (ECM)

Description:
Defining gravity in ECM as a reversible, quantifiable mass-binding condition, and anti-gravity as the observable by-product of its natural release, without invoking theoretical particles or speculative geometries.

Soumendra Nath Thakur | Tagore’s Electronic Lab. India | ORCiD: 0000-0003-1871-7803
Date:
July 11, 2025

Introduction

Electrons within atoms occupy discrete, quantized energy levels or orbital. When an electron transitions from a higher to a lower energy level, it emits a photon whose energy precisely corresponds to the difference between those two levels. Similarly, gamma rays are emitted during nuclear reactions or radioactive decay, where an unstable atomic nucleus transitions from a higher energy state to a more stable configuration—releasing energy in the form of high-frequency radiation.

A deeper insight emerges when we examine the gravitational character of these bound states. In their confined forms—within atomic orbital or nuclear potentials—both photons (associated with electrons) and gamma rays (associated with nuclei) exist under gravitationally bound conditions. These energy carriers remain internally restrained within their systems, behaving in accordance with gravitationally massive entities.

Yet, upon their emission, both photons and gamma rays exhibit behaviour fundamentally different from their previous state. Once liberated, they no longer remain subject to the same gravitational constraints. They carry momentum, propagate at the speed of light, and resist classical gravitational capture. This transformation—from a gravitationally bound regime to a liberated, anti-gravitational state—is not driven by external intervention, but rather by an intrinsic energy redistribution governed by a mass-energy restructuring process.

Core ECM Proposition

In ECM, both thermal emission and the photoelectric effect represent the release of electrons as free carriers through a ∆M-mediated mass displacement. The same ΔM displacement governs photon and gamma ray emission, where:

KEᴇᴄᴍ = ½Mᵉᶠᶠ= −ΔPEᴇᴄᴍ = −ΔMᴍc²

The emitted photon or gamma ray thus encapsulates a shift from gravitationally bound apparent mass (−Mᵃᵖᵖ) to an effectively antigravitational state. In this view, ΔM acts as the fundamental mechanism linking gravitational confinement and liberated kinetic or radiative expression.

A Unified Mass-Energy Displacement Framework

ECM shows that electron transitions, photon emission, and nuclear decay are not merely energetic but mass-displacement events. These transitions involve the reversible conversion of potential energy into kinetic or radiative form via:

KEᴇᴄᴍ = ½Mᵉᶠᶠ = -ΔPEᴇᴄᴍ = -ΔM

As such, mechanical motion, variations in gravitational potential, and the emergence of anti-gravitational effects are all unified outcomes of the same ΔM-based transition.

 

Gravity and Anti-Gravity: A Reversible Mass-Energy Continuum

In ECM, gravity is not a force mediated by a graviton, nor a by-product of geometric curvature. It is defined as a mass-binding condition, governed by the confinement of mass-energy within an effective gravitational structure. Anti-gravity, in turn, is not a repulsive force but the empirical result of liberated −Mᵃᵖᵖ.

This redefinition can be organized into four interrelated concepts:

1. Gravitational Confinement as Apparent Mass Structuring

Bound systems (atoms, nuclei, or cosmological structures) are characterized by:

Ebound = Mᵉᶠᶠ gᵉᶠᶠ h

Here, Mᵉᶠᶠ is the effective mass during confinement, and gᵉᶠᶠ the effective gravitational field strength.

2. Liberation Through Apparent Mass Displacement (ΔM)

Transitions such as electronic relaxation or nuclear decay cause:

ΔM = hf/c², with hf = −Mᵃᵖᵖ

The displaced −Mᵃᵖᵖ represents the gravitationally confined mass now expressed in radiative form.

3. No Need for Gravitons or Curved Geometry

The gravitational-to-antigravitational transition is physically observable and testable:

  • Thermal emission (e.g., thermionic emission),
  • Photoelectric effect,
  • Atomic and nuclear transitions,
  • Cosmic-scale mass-energy redistribution (as discussed in ECM Appendices 9, 10, 12, 16, and 22).

4. Gravity and Anti-Gravity as Reversible States

These are not two forces, but two phases of the same energy system:

  • Gravitational confinement Mᵉᶠᶠ
  • Liberation −Mᵃᵖᵖ
  • Transition mechanism ΔM

This framework seamlessly explains both quantum emissions and cosmic expansion, with no dependence on speculative fields or hypothetical particles.

Conclusion

This ECM-based redefinition of gravity as a reversible, mass-binding condition, and anti-gravity as the observable product of its natural release, offers a unified physical interpretation for both subatomic and cosmological processes. It bridges gravitational and radiative dynamics under a single framework of apparent mass displacement.