Energy Density Theory

Energy Density Theory

(zenodo.org) Introduction This paper explores the hypothesis that the mass of elementary particles is a consequence of variations in energy density within space. This approach provides a new perspective on fundamental interactions, explains anomalies related to dark matter and dark energy, addresses Heisenberg's uncertainty principle, and offers an alternative to the concepts of space-time curvature and the Higgs field. 1. Mass as a Consequence of Energy Density In classical physics, mass is considered a fundamental property of matter. However, if mass is assumed to be a manifestation of energy density, its origin can be explained without invoking the Higgs field. In this case, the mass of charged particles results from uniform changes in energy density, whereas neutral particles may exhibit vortex-like variations in energy density. 1.1. Relationship Between Mass and Wavelength Consider the behavior of mass at the speed of light limit. There is a direct dependence between wavelength and mass. If this dependence is fundamental, then variations in energy density in space determine the inertial...
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The Fundamental Connection Between Electromagnetic Waves and the Mass of an Elementary Particle

The Fundamental Connection Between Electromagnetic Waves and the Mass of an Elementary Particle

(zenodo.org) Introduction Modern physics considers mass and electromagnetic radiation as two distinct entities. However, by analyzing fundamental principles, one can conclude that the mass of an elementary particle is directly related to the characteristics of the electromagnetic wave that confines its structure. In this article, we examine the physical foundations of this connection and its possible implications. The Wave Nature of Elementary Particles The idea of the wave nature of matter was first proposed by Louis de Broglie. According to his hypothesis, a particle can be associated with a wavelength:     λ = h / p where:- λ is the de Broglie wavelength, - h is Planck’s constant, - p is the momentum of the particle. In relativistic mechanics, the total energy of a particle is given by the equation:     E² = (pc)² + (mc²)² Here, the rest mass m plays a crucial role, but at high energies, its contribution becomes small compared to the momentum term. This means that as an elementary particle moves, its mass and the associated...
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Rest Mass as a Function of Wavelength in the Speed of Light Limit

Rest Mass as a Function of Wavelength in the Speed of Light Limit

(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,...
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Dependence of Mass on Wavelength in the Relativistic Limit

Dependence of Mass on Wavelength in the Relativistic Limit

(zenodo.org) Introduction This paper examines the relationship between a particle’s mass and its wavelength based on the relativistic energy equation. In the case of high-energy particles, the rest mass transitions into a change in wavelength, allowing us to derive a mathematical dependence between these quantities. 1. Fundamental Equations The relativistic expression for the total energy of a particle with nonzero rest mass is given by:     E² = p²c² + m²c⁴  where:- E is the total energy of the particle, - p is the particle’s momentum, - m is the rest mass of the particle, - c is the speed of light. According to de Broglie’s relation, momentum is connected to wavelength λ as follows:     p = h / λ where h is Planck’s constant. 2. Expressing Mass Through Wavelength Substituting the expression for momentum into the energy equation, we obtain:     E² = (hc / λ)² + m²c⁴     Solving for mass:     m²c⁴ = E² - (hc / λ)²     m = (1 / c²) * sqrt(E² - (hc / λ)²) 3. High-Energy Limit At high energies,...
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