The Maximal Entanglement Limit in Statistical and High Energy Physics

TL;DR

This paper proposes that quantum entanglement underpins statistical physics and high-energy interactions, leading systems to a Maximal Entanglement Limit where classical probabilistic descriptions naturally emerge.

Contribution

It introduces the concept of the Maximal Entanglement Limit as a unifying framework for understanding thermalization and probabilistic phenomena in physics.

Findings

Systems approach maximal entanglement at high energies or long times.

Thermalization and probabilistic models are derived from entanglement and Hilbert space geometry.

Universal small x behavior of structure functions explained by entanglement.

Abstract

These lectures advocate the idea that quantum entanglement provides a unifying foundation for both statistical physics and high-energy interactions. I argue that, at sufficiently long times or high energies, most quantum systems approach a Maximal Entanglement Limit (MEL) in which phases of quantum states become unobservable, reduced density matrices acquire a thermal form, and probabilistic descriptions emerge without invoking ergodicity or classical randomness. Within this framework, the emergence of probabilistic parton model, thermalization in the break-up of confining strings and in high-energy collisions, and the universal small $x$ behavior of structure functions arise as direct consequences of entanglement and geometry of high-dimensional Hilbert space.