Skip to main content

A registered result in its source context

Original ledger classification: Open/synthesis [O] (a [P]-typed structural reading; not load-bearing) + [E] (the underlying anchor/attractor atoms)

Recorded statement: BLACK HOLE AS A SEAM FIXED POINT (topological defect), NOT a singularity (2026-06-15, archive integration of the old Five-Problems BH picture; the SUPERSEDED torsion/RN-vortex metric is DROPPED -- RN-type metric superseded by…

Statement, assumptions and sources

Paper context: Horizon readouts

The exact identifier, original classification and full claim are available below.

The source wording and classification below are preserved as recorded. A paper link, shared script or authored topic relation does not upgrade the claim or report a new proof run. Read later reviewed findings separately.

Read the exact registered claim and its dependencies

HOR.BHCORE.01

Original ledger classification: Open/synthesis [O] (a [P]-typed structural reading; not load-bearing) + [E] (the underlying anchor/attractor atoms)

Original claim text

BLACK HOLE AS A SEAM FIXED POINT (topological defect), NOT a singularity (2026-06-15, archive integration of the old Five-Problems BH picture; the SUPERSEDED torsion/RN-vortex metric is DROPPED -- RN-type metric superseded by Nariai/seam=horizon v101-v104/v190, cf. v203). Built from established suite atoms. (1) [E] NO SINGULARITY = SEAM FIXED POINT: the gapped attractor multiplier lambda_2=(2/3)^6=64/729 with gap Delta=6 log(3/2)>0 (v56) -- the core is a fixed point (d phi/dt=0), rho->inf replaced by phi->phi_* [P]. (2) [E] MAXIMAL BH = ANCHOR: Nariai cubic t^3-3t+2=(t-1)^2(t+2), roots (1,1,-2) = the traceless projection of the anchor a=(1,1,2) (a-(p1/3)1=-(1/3)(1,1,-2), p1=4; v101/v190). (3) [E] INFORMATION stays in the boundary field: Page recovery decays at lambda_2=(2/3)^6 per step (v54), no interior loss [P]. (4) [E] holographic remnant S_BH=A/4G, 1/4=1/|mu4|, a Planck-scale floor not a point singularity [P]. (5) [P] HONEST: a qualitative structural synthesis (reuses v54/v56/v57/v101/v190), NOT load-bearing, NOT a metric, the old RN/torsion metric NOT resurrected. Python-only

Original classification detail

Open/synthesis [O]: BH = seam fixed point (no singularity, phi->phi_*), maximal BH = anchor (Nariai roots (1,1,-2)=traceless a), info via Page recovery (2/3)^6, Planck-scale floor; [P] reading, NOT load-bearing, RN metric not resurrected

Dependencies as recorded

v54_seam_horizon_keystones.py; v56_unique_attractor.py; v57_horizon_crosslinks.py; v101_horizon_anchor.py; v190_nariai_entropy_bound.py

Open the original ledger source, row 294

Location recorded in the ledger

These document locations are recorded directly on the ledger row. They are document level navigation, rather than a newly inferred section citation.

Sections that explicitly cite this claim

A literal claim identifier is present in these paper sections. The section and its premises determine what the citation supports.

Navigation through a shared verification script

These sections cite a script associated with the claim. This is a source navigation join, rather than an explicit citation of the claim or a theorem equivalence.

Registered verification modules

  • v209_bh_regular_core.pyRegistered verification module · horizon
    Read the description recorded in the module registry

    the black hole as a seam fixed point (topological defect), NOT a singularity: the honest [P] synthesis of the old Five-Problems BH picture, with the SUPERSEDED torsion/RN-vortex metric DROPPED (RN-type metric superseded by Nariai/seam=horizon v101–v104/v190; cf. v203). Built entirely from established suite atoms. [E] NO SINGULARITY = SEAM FIXED POINT: the gapped attractor multiplier λ₂=(2/3)⁶=64/729 with gap Δ=6log(3/2)>0 (v56) — the core is a fixed point (dφ/dt=0), ρ→∞ replaced by φ→φ_* [P]; [E] MAXIMAL BH = ANCHOR: Nariai cubic t³−3t+2=(t−1)²(t+2), roots (1,1,−2) = the traceless projection of a=(1,1,2) (a−(p₁/3)1=−(1/3)(1,1,−2), p₁=4; v101/v190); [E] INFORMATION stays in the boundary field: Page recovery decays at λ₂=(2/3)⁶ per step (v54), no interior loss [P]; [E] holographic remnant S_BH=A/4G, 1/4=1/|μ₄|, a Planck-scale floor [P]; [P] HONEST: a qualitative structural synthesis (reuses v54/v56/v57/v101/v190), NOT load-bearing, NOT a metric.

A registered module is a source reference. Its presence does not assert that the module was executed in this snapshot.