A Bohr-type model with gravity as the attractive force

TL;DR

This paper proposes a Bohr-like model where three neutrinos bound by gravity form particles with masses similar to protons and neutrons, suggesting gravity can produce stable baryons in a quantum rotational state.

Contribution

It introduces a novel gravitational bound state model for neutrinos that explains baryon masses using relativistic quantum principles, bridging gravity and particle physics.

Findings

Rest mass of bound state matches proton/neutron mass

Rest mass arises mainly from kinetic energy of neutrinos

Model predictions align with experimental baryon properties

Abstract

We formulate a Bohr-type rotating particle model for three light particles of the same rest mass, forming a bound rotational state under the influence of their gravitational attraction, in the same way that electrostatic attraction leads to the formation of a bound proton-electron state in the classical Bohr model of the H atom. By using special relativity, the equivalence principle and the de Broglie wavelength equation, we find that when the three rotating particles have the rest masses of neutrinos or antineutrinos then surprisingly the rest mass of the rotating state has the rest mass of the stable baryons, i.e. of the proton and the neutron. This rest mass is due almost exclusively to the kinetic energy of the rotating neutrinos. The results are found to be consistent with the theory of general relativity. Predictions for the properties of these bound rotational states are compared with experimental values.