A Unified Framework for Motion: Bridging Quantum, Relativistic, and Classical Mechanics Through Photon-Mediated Interactions

Author: James M. Rogers, SE Ohio, 05 Oct 2024, 0521 
Abstract

We present a unified framework that bridges quantum, relativistic, and classical mechanics through photon-mediated interactions. By reformulating established relationships between mass, energy, and frequency, we demonstrate that all motion can be understood through the exchange of photons and corresponding changes in spacetime curvature. Two key relationships, a²=kf and mc²=hf, provide the mathematical foundation for this framework. This interpretation requires no new physics but offers novel insights into the mechanisms underlying motion at all scales. The a²=kf is mentioned here, but is covered in detail in our previous paper.

Introduction

The traditional boundaries between quantum mechanics, relativity, and classical mechanics have long been seen as fundamental divisions in physics. However, we demonstrate that these divisions are artifacts of our historical approach rather than reflections of physical reality. By examining established mathematical relationships from a new perspective, we show that all motion can be understood through a single unified framework of photon-mediated interactions.

Key Relationships

1. The Acceleration-Frequency Relationship

From the Larmor formula and quantum mechanics:

a² = kf 
where k = he² / 6πε₀c³

This relationship directly connects classical acceleration to photon frequency in , bridging classical mechanics and quantum phenomena. This is discussed at length in my paper A Direct Proportionality Between Photon Frequency and Electron Deceleration Squared in Bremsstrahlung Radiation  This formula was corrected because I didn't invert the constant when I swapped a² and P in the original paper.

2. Mass-Frequency Conversion

Reformulating E=pc in terms of E=hf:

- General form: pc = hf 

- Deceleration: pc/h = f 
- Acceleration: p = hf/c

for change in p.

These equations describe the bidirectional conversion between mass and photon frequency during acceleration and deceleration required by conservation of energy.

Theoretical Framework

Fundamental Principles

1. All motion is fundamentally relativistic, occurring within curved spacetime
2. Changes in motion are mediated by photon exchange
3. Kinetic energy exists as curved spacetime around particles
4. Acceleration results from photon absorption, increasing spacetime curvature
5. Deceleration results in photon emission, decreasing spacetime curvature

Experimental Validation

Both key relationships are supported by a series of other theories:

1. Acceleration-Frequency Relationship (a²=kf):
   • Bremsstrahlung radiation
   • Synchrotron radiation
   • Black body radiation spectra
2. Mass-Frequency Conversion:
   • Particle accelerator results
   • Nuclear reactions
   • Atomic spectroscopy

Applications

1. Black Body Radiation

The framework provides a direct mechanical interpretation of black body radiation through inelastic collisions:

• Collision energy loss directly produces photons
• Frequency distribution reflects collision statistics
• Temperature dependence follows naturally from particle velocities

2. Atomic Motion

All acceleration at the atomic level is mediated by continuous photon exchange:

• Absorption increases local spacetime curvature
• Emission decreases local spacetime curvature
• Provides mechanism for quantum state transitions
• Atoms exchange photons to transfer momentum

3. Inertia

The framework explains inertia as resistance to changes in spacetime curvature:

• Mass manifests as curved space
• Inertia represents resistance to curvature changes
• Explains equivalence of inertial and gravitational mass

Discussion

This unified framework offers several advantages:

1. Consistency across all scales of physics
2. Clear physical mechanisms for quantum-classical transitions
3. Geometric interpretation of energy and motion
4. No new physics required

The framework resolves apparent paradoxes by showing that quantum, relativistic, and classical behaviors are different aspects of the same underlying photon-mediated processes.

Conclusion

By reexamining established physical relationships, we have demonstrated a unified framework for understanding motion at all scales. This interpretation requires no new physics but provides novel insights into the fundamental nature of motion, energy, and matter-radiation interaction. The framework's consistency with existing experimental evidence and its explanatory power suggest it represents a valuable perspective for understanding physical phenomena.