Black-Hole Uncertainty Entails an Intrinsic Time Arrow. a Note on the Hawking-Penrose Controversy

TL;DR

This paper discusses how intrinsic time asymmetry emerges from black-hole uncertainty, challenging the notion of time-symmetric physical laws and highlighting the importance of determinism for entropy reversal.

Contribution

It demonstrates that even minimal non-determinism prevents time reversal, emphasizing the role of black-hole uncertainty in establishing an intrinsic arrow of time.

Findings

Time reversal is disrupted by black-hole uncertainty.

Determinism is essential for entropy to decrease backward in time.

Intrinsic time arrow emerges due to non-deterministic effects.

Abstract

Any theory that states that the basic laws of physics are time-symmetric must be strictly deterministic. Only determinism enables time reversal of entropy increase. A contradiction therefore arises between two statements of Hawking. A simulation of a system under time reversal shows how an intrinsic time arrow re-emerges, destroying the time reversal, when even slight failure of determinism occurs.