Micro-cosmos model of a nucleon

TL;DR

This paper introduces a dynamic, curved spacetime model of nucleons as oscillating radiation confined microcosms, successfully deriving properties like mass-radius relationships and proton size that align with experimental data, offering new insights into quantum gravity unification.

Contribution

The study presents a novel geometric model of nucleons as oscillating radiation-filled microcosms within curved spacetime, bridging quantum particle properties with general relativity without quantizing space and time.

Findings

Derived mass-radius inverse relationship matching de Broglie wavelength.

Predicted proton radius consistent with 2018 CODATA value.

Showed density increases toward nucleon center.

Abstract

This study explores the age-old quest to construct a geometric model of a quantum particle. While static classical particle models have largely been dismissed, the focus has now shifted to intricate dynamic models that hold the promise of reconciling general relativity with quantum mechanics. We propose that matter particles can be described as radiation confined within dynamically curved spacetime regions, without the need for quantization of space and time, and using standard field equations and natural Planck units. Specifically, we investigate a cyclic or oscillating radiation-dominated micro cosmos undergoing repeated bouncing. Our methodology employs integration, with carefully defined initial conditions. The results include several observable properties characteristic of quantum particles. We calculate the total mass, revealing a compelling inverse proportionality between mass and radius identical with the de Broglie relationship. Applying this model to protons, we discover a profound and surprisingly simple relationship between the proton's radius and mass expressed in Planck units. This enables a definition of the proton radius that aligns remarkably well with the 2018 CODATA value. Furthermore, our analysis demonstrates that the radial density profile of the proton (or nucleon), averaged over a cycle time, increases toward the center. The problem of embedding the micro cosmos within a background spacetime is also described. These results underscore the relevance of general relativity in the domain of nuclear physics. Moreover, the model offers a fresh perspective that can stimulate new ideas in the ongoing quest to unify general relativity with quantum physics.