(zenodo.org)

Introduction

In standard physics, rest mass and energy are related by Einstein’s well-known equation E = mc². However, if we consider an object at the speed of light limit and in a relative state of rest, an interesting dependence of rest mass on the ratio of energies and wavelength can be derived.

Derivation of the Formula

Consider an object that, when moving at the speed of light, has energy E₁ and wavelength λ₁, while in its rest state, its energy is E₂. In this case, the rest mass of the object is expressed as:

   

 where:
— E₂ is the energy of the object at rest,

— E₁ is the energy at the speed of light,

— λ₁ is the object’s wavelength when moving at the speed of light,

— h is Planck’s constant,

— c is the speed of light.

Physical Meaning

This formula shows that the rest mass directly depends on:

— The ratio of energies: If an object loses energy when transitioning from the speed of light to rest, its mass decreases.

— The wavelength in the limiting case: The shorter the wavelength at the speed of light, the greater the rest mass.

This can be interpreted as a kind of «slowing down» effect: the greater the difference between rest energy and energy at the speed of light, the more significantly the mass changes.

Possible Implications

This dependence may be useful for:

 — Analyzing the properties of particles with variable mass (e.g., neutrinos or hypothetical particles transitioning between states).

— Understanding mechanisms of energy loss during particle deceleration.

— Exploring alternative approaches to quantum gravity.

Conclusion

The derived dependence of rest mass on wavelength and energy may provide new insights into the wave and particle properties of matter. Further analysis could refine fundamental concepts of mass and inertia within theories that unify quantum mechanics and relativistic physics.

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)