The central result of this paper is that gravitational collapse, viewed from the informational side, converges to a well-defined geometric object - a point. This reframes the singularity in three ways.
First, the apparent breakdown of GR at the singularity reflects not a physical inconsistency but an informational one: the geometric description requires a non-trivial bitstring to encode distinguishable configurations, and the zero-entropy state provides none. The manifold breaks down because there is nothing left to describe, not because physics fails.
Second, the zero-entropy point is representation-independent. The Lemma of Section 3 establishes that a zero-entropy bitstring decodes to a single structureless point under any geometric map. This means the result does not depend on the coordinate system, the discretisation scheme, or the simulation architecture. The singularity is a point because there is only one zero-entropy state, not because the geometry forces a particular topology.
Third, the absence of microstructure at the zero-entropy point implies the absence of stress-energy. With no particles, no matter, and no distinguishable geometry at the singularity, there is no source for the gravitational field at that point.
Loop quantum gravity resolves singularities by quantising the geometry at the Planck scale, introducing a minimum area and replacing the singularity with a quantum bounce [ashtekar2006]. String-theoretic fuzzball solutions replace the singularity with a horizonless, stringy microstate geometry [mathur2005]. Both approaches introduce new physics to regularise the singularity.
The present approach requires no new physics. The regularisation is a consequence of the informational equivalence established in Paper I [meskanen2001]: when the execution trace converges to zero entropy, the geometric description has no emergent micro structures to describe. The singularity is resolved not by preventing it but by showing that it is trivial.
The Bekenstein-Hawking entropy of a black hole scales with the area of the event horizon, not the volume of the interior [bekenstein1973, hawking1975]. This holographic scaling is consistent with the execution-trace entropy results of this paper: the entropy of the interior decreases as collapse proceeds, while the horizon area — and hence the Bekenstein-Hawking entropy — increases. The two entropy measures are measuring different things. The execution-trace entropy measures the geometric variety of the interior configuration; the Bekenstein-Hawking entropy measures the information accessible to an external observer. The present framework is consistent with both.