(zenodo.org)

Introduction

This article explores the hypothesis that the Schwarzschild metric does not merely describe the curvature of space but rather the distribution of energy along a spherical surface, directly linking it to electromagnetic processes. Additionally, we will examine the mathematical description of electromagnetic waves and their connection to gravity.

1. Gravity and Parameter Recalculations

In General Relativity (GR), space curvature is considered a consequence of the presence of mass and energy. However, when recalculating the speed of light and time in gravitational fields, parameter corrections are made. The question arises whether a similar recalculation applies to distances. If not, inconsistencies may arise in gravitational force calculations, suggesting that gravity is not a direct curvature of space but rather a manifestation of energy distribution.

The Schwarzschild metric is expressed as:

A key point here is that the metric is formulated in spherical coordinates, which suggests a connection to processes with spherical symmetry, such as the propagation of electromagnetic waves.

2. Electromagnetic Wave Equation

Electromagnetic waves are described by Maxwell’s equations:

From these equations, the wave equation for electric and magnetic fields follows:

This equation describes the propagation of electromagnetic waves in a vacuum. Now, let us consider it in spherical coordinates.

3. Propagation of Electromagnetic Waves Along a Sphere

In spherical coordinates, the electromagnetic wave equation takes the form:

Notably, this equation’s structure closely resembles the Schwarzschild metric. This indicates that the energy of an electromagnetic field is distributed along a spherical surface, similar to how General Relativity describes space curvature.

4. De Broglie Waves and Their Unification with Gravity

If we incorporate equations for the wave function of a particle (de Broglie waves), we obtain a unified mathematical framework connecting electromagnetic and gravitational interactions. De Broglie waves satisfy the Schrödinger equation, which in the relativistic case leads to the Klein-Gordon equation:

Previously, we proposed that de Broglie waves could be waves within space itself. This idea is supported by their spherical propagation nature, allowing them to integrate into the general concept of energy distribution linked to gravity and electromagnetic waves.

5. Connection to Quantum Processes

1. Quantum Fluctuations and Metric Variations
   • In quantum gravity, space-time fluctuations can be interpreted as local changes in energy density.
   • This aligns with the idea that the Schwarzschild metric describes energy distribution rather than purely geometric curvature.
2. Klein-Gordon Equation and Gravity
   • The equation has the same structure as the electromagnetic wave equation, suggesting a shared underlying mechanism for their propagation.
3. Quantum Entanglement and Information Transmission
   • If gravitational energy and electromagnetic waves are interconnected, entanglement could manifest through interactions in energy density distribution.
   • This may provide an explanation for the phenomenon of instantaneous correlations between entangled particles.

Conclusion

Thus, the Schwarzschild metric describes energy distribution along a spherical surface, making it not just a gravitational model but also a model of energy propagation similar to electromagnetic waves. Considering de Broglie waves further expands this view, offering a unified framework for fundamental interactions.

This concept supports the idea that all fundamental forces of nature are interconnected through energy distribution, and further research may lead to a more holistic understanding of physical laws.

This approach offers a new perspective on the nature of mass and its relationship to electromagnetic processes. A more detailed discussion of this hypothesis and its philosophical implications can be found in the following works:

— (dzen)

— (Zenodo)