Black Hole Stability Without Extra Dimensions
A categorical reinterpretation of the G2-manifold remnant
A response note comparing a G2-torsion black-hole remnant proposal with Category τ's black-hole stability route.
Publication Metadata
Anchor paper: Pinčák et al., 2026 G2-manifold black-hole remnant proposal.
Review status: Program publication; external review not yet completed.
Abstract
The note reads a 2026 G2-manifold remnant proposal as an anchor for comparison with the Panta Rhei black-hole layer. It distinguishes the anchor's extra-dimensional Einstein-Cartan mechanism from the categorical account of torus horizons, no-shrink stability, and information preservation.
Anchor Paper and Context
G2-manifold remnant
The anchor paper proposes a stable black-hole remnant through torsion and extra-dimensional G2 geometry.
Relation to this note: Used as a comparison target for a no-extra-dimensions categorical account of similar black-hole stability questions.
Claim Boundary
Core Claim
The same family of black-hole stability questions can be addressed inside Category τ without treating extra spatial dimensions or torsion as primitives.
What This Note Does Not Claim
- It does not claim the G2 construction is internally inconsistent.
- It does not claim external acceptance of the categorical black-hole interpretation.
- It does not remove the need for independent gravitational and mathematical review.
Falsification and Challenge Surface
- Failure of the categorical no-shrink and black-hole topology derivation chain.
- Failure of semantic correspondence between the categorical horizon structure and physical black-hole observables.
- External evidence requiring extra-dimensional torsion primitives where the framework forbids them.
Verification Surface
Reading Note
The PDF contains the full argument. This web page records the public metadata, claim boundary, verification posture, and related site surfaces for the citable Research Note artifact.