Unification of gravity and the harmonic oscillator on a quantum black hole horizon I: Nonperturbative particle scattering and Veneziano amplitudes

TL;DR

This paper presents a quantum model unifying gravity and harmonic oscillators near black hole horizons, explaining particle scattering and Veneziano amplitudes with implications for particle physics and cosmology.

Contribution

It introduces a nonperturbative quantum model that unifies gravity and harmonic oscillators, with novel mechanisms for quark confinement and lepton substructure.

Findings

Quark confinement via cluster decomposition

Lepton substructure consistent with experiments

Hadrons exhibit Veneziano-type scattering amplitudes

Abstract

A relativistic quantum model of particle scattering near the horizon of a microscopic black hole unifies gravity and the harmonic-oscillator force. The model is obtained by modifying a harmonic-oscillator nonstandard Lagrangian for a closed system of relativistic quarks to eliminate any cosmic background frame. Formulated in terms of the Planck units, the model has only one parameter, the cosmic number N2. Other results include (1) quark confinement through cluster decomposition rather than a binding potential, (2) lepton substructure without violation of known experimental results, (3) a spontaneously broken symmetry between leptons and hadrons with leptons behaving as free particles and hadrons which scatter with Veneziano-type amplitudes, (5) realistic particle masses and sizes, and (6) a solution of a cosmic-number problem in cosmology.