Mathematical model of the structure of elementary particles in space

Mathematical model of the structure of elementary particles in space

(zenodo.org) Correction dated 2025.06.18 Corrected the fractalization formula (recently there was an incorrect entry). Changed the fractalization formula, now it depends not on h, but on ħ (reduced the coefficient 2π, since it is a consequence of geometry, not the processes themselves, which leads to its reduction). This increased the coincidence for the size and mass of the Milky Way when transitioning from neutron parameters. Accordingly, changed the applications and conclusion. Annotation This paper presents a theoretical model describing matter, fundamental interactions and the structure of the Universe on the basis of unified wave principles and the concept of fractality. The paper aims to overcome the fragmentation of modern physical theories by offering an alternative approach to explain the nature of mass, electric charge, gravitation and the origin of fundamental constants. The model is based on the idea that elementary particles are stable standing waves formed in Euclidean space, considered as an energy-rich medium. Interactions between particles and formation of all fundamental forces are interpreted...
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Rethinking the Michelson-Morley experience

Rethinking the Michelson-Morley experience

(zenodo.org) According to the special theory of relativity (STR), the speed of light in a vacuum is the same for all observers, regardless of their motion. This means: If one observer is travelling at some speed and the other remains at rest, they will both measure the speed of light as c, regardless of their states of motion. Even if the object is flying towards or away from the light, the light will still have a velocity c relative to it. For classical mechanics such an effect could arise if objects have a wave structure and the speed of propagation of these waves would be equal to the speed of light. In this case the propagation speed would be bound to the notion of some medium. There were earlier attempts to link this medium to the ether. The Michelson-Morley experiment showed that there was no ether. But let's look at it in more detail. Michelson and Morley used an interferometer, a device that measures the...
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Fractal Universe, Consciousness, and the Nature of Reality

Fractal Universe, Consciousness, and the Nature of Reality

(zenodo.org) Throughout history, humanity has sought to comprehend the connection between the material world and consciousness, creating various concepts that unify them into a single system. Today, with the advancement of science, evidence is emerging that singularities may be absent inside black holes. Black Holes and the Fractal Structure of Matter Classical physics views black holes as objects with singularities where gravity becomes infinite. However, modern research suggests that singularities may not exist, and instead, a complex but structured form may be present. This structure could be a reflection of the overall fractal organization of the universe. A study published in April 2024 by Alexey Koshelev and Anna Tokareva indicates that within the framework of so-called "ghost-free infinite derivative gravity," singularities are absent unless considering an unrealistic case of infinite black hole mass (arxiv.org). These findings align with an earlier study published in January 2023 by Raúl Carballo-Rubio and his colleagues. They investigated the conditions under which gravitational collapse could occur without forming a singularity....
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