Black Hole Singularities as Zero-Entropy States

Juha Meskanen

2010 …2026

Abstract

We investigate black hole singularities from an information-theoretic perspective. Under the principles established in Paper I [meskanen2001], geometric spacetime and the execution trace of a computational simulation are two equivalent representations of the same underlying informational structure, with neither being more fundamental. Standard General Relativity cannot be evolved through singularity formation due to numerical divergences and the breakdown of the manifold description. However, the execution trace provides a complementary, well-behaved description that remains defined throughout collapse. We argue that the singularity is not a point of infinite curvature but a state of zero entropy state. Any mapping of zero entropy yields a single geometric object - a point. A zero entropy state is incapable of supporting microstructure, matter, or distinguishable geometry, and therefore is not of point of infinite curvature. The failure of GR is respresentational, not a break down of physics.

1 Introduction
2 Informational Equivalence of Geometry and Computation
3 Methods
3.1 Execution Trace
3.2 Geometric Encoding
3.3 The Informational Diagnostic Suite
3.4 Lemma: Vanishing Entropy Implies Geometric Point
4 Simulations
4.1 Setup
4.2 Results
5 Discussion
5.1 The singularity as zero entropy state
5.2 Relation to existing approaches
5.3 Holographic consistency
6 Conclusion
Simulation Code

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