Black Hole

A τ-black-hole is a maximal topological defect of the cosmological τ-base whose horizon is canonically a 2-torus T² (V.T109/V.T110), not a 2-sphere — the τ-categorical replacement for the GR singularity picture. The interior carries no singularity (V.P93), bipolarity is a categorical necessity (V.T111), and the BH threshold (V.T109) governs which compact objects collapse into this regime.

Categorical invariant. Maximal topological defect on the cosmological base with toroidal horizon T²; bipolar, singularity-free interior, categorically distinct from compact stellar remnants below the threshold.

Primary registry anchor: V.D125

Supporting items: V.D166, V.D173, V.T109, V.T110

1. I.K0 — Universe Postulate
2. V.D74 — Chandrasekhar threshold (compact-object boundary)
3. V.T88 — Compact-object classification (where BHs sit in the ladder)
4. V.D125 — Black hole as maximal topological defect
5. V.D166 — Canonical BH neighborhood (T² topology)
6. V.T109 — BH Threshold Theorem
7. V.T110 — BH Toroidal Topology theorem
8. V.D173 — Mature black hole (post-formation regime)

Calibration anchor: PG-P01-neutron

Calibration chain:

1. Schwarzschild radius r_s = 2 G M / c² (recovered)
2. BH horizon topology: T² (τ-native, not S²)
3. TOV maximum mass V.R93 sets the formation threshold
4. All masses anchored to m_n via the calibration cascade

Manuscript reference: manuscript-sources/book-05/part06/ch50-bh-birth-topology.tex

Status: Planned

Related glossary entries

• PG-P01-neutron τ-Neutron
• PG-Q01-mass Mass
• PG-C01-newton-g Newton's gravitational constant G

Referenced by

• PG-O12-neutron-star Neutron Star