Information, uncertainty and holographic action

TL;DR

This paper explores the connection between information flow, the emergence of space-time and gravity, and fundamental quantum principles, deriving key relations like Newton's second law and the Heisenberg uncertainty from information bounds.

Contribution

It provides a simple derivation linking information flow to space-time emergence, gravity, and quantum uncertainty, highlighting new relations between information bounds and physical laws.

Findings

Derived Newton's second law from information flow

Uncovered Heisenberg uncertainty from universal information bounds

Established a relation between information flow and bulk action change

Abstract

In this short note we show through simple derivation the explicit relation between information flow and the theories of the emergence of space-time and gravity, specifically for Newton's second law of motion. Next, in a rather straightforward derivation the Heisenberg uncertainty relation is uncovered from the universal bound on information flow. A relation between the universal bound on information flow and the change in bulk action is also shown to exist.