TSO Roof — Gravity, Black Holes & Cosmology

⚠️ Ongoing research project — SPECULATIVE. Updated April 6, 2026 to use the current notation (Γ_C for aggregate closing tension instead of bare Γ). The GW echo prediction is pre-registered and awaiting Einstein Telescope data.

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Gravity's Weakness (Self-Corrected v10.9)

The original claim "gravity couples to W" was backwards — under that framing, black holes would have the weakest gravity. Corrected: gravity is a source of closing tension, specifically contributing to Γ_C. Strong gravity = large γ_gravity contributions = Γ_C accumulation = W pushed down.

gravity → elevated Γ_C → W pushed downward → classical behavior near masses

The BH interior has W → W_floor (and below) because of its gravity. Self-reinforcing loop: the BH holds its own ice/powder state with its own gravitational γ_c contributions.

Black Hole Interior: r_c2

Jaiswal et al. 2025 — Independent Convergence

Jaiswal & Shankaranarayanan (IIT Bombay, Phys Rev D 111, L101502, May 2025) built an analog model of charged black hole formation using classical percolation. Their p_c maps to TSO's p_c1 = 0.3116. Independent convergence on the same percolation constant. See references page.

The Second Phase Boundary

r_c2 = (p_c2 / p_c1) × r_s = (2/7) / 0.3116 × r_s ≈ 0.917 × r_s

Region	r range	W range	Phase
Exterior	r > r_s	W > p_c1	Wave
Event horizon	r = r_s	W = p_c1	Boundary
Solid shell	r_c2 < r < r_s	p_c2 < W < p_c1	Solid
Dust core	r < r_c2	W < 2/7	Dust (~77% of volume)

Gravitational Wave Echo Prediction (Pre-Registered)

t_echo = r_s × ln(r_s/r_c2) = r_s × ln(p_c1/p_c2)

Range: 0.029–0.087 × r_s/c. About 1000× shorter than fuzzball/firewall models. Einstein Telescope (2030s) can test this. Tracked on the predictions page.

This is a genuinely pre-registered quantitative prediction — the formula and range were published on this site before any measurement could have been known, and it is specific enough to be falsified by a null result or a different echo timing.

W = 1: Big Bang Initial Condition

Before solidification: W = 1. All 7 paths non-operational. Everything connected. The entire history of the universe is one sigmoid curve from W = 1 (pre-Big Bang) through p_c (cosmic crystallization) to the current state just above 2/7.

Time Emergence from W

dτ = f(W, Γ_C) dt | W = 1: dτ = 0 (no time) | W = 2/7: dτ = dt (classical time)

Photons: Γ_C = 0 → W = 1 → dτ = 0. Unifies with SR where at v = c, dτ = 0. The exact functional form f(W, Γ_C) is an open problem.

What's Strong, What's Open

Strong

Self-correction (gravity as Γ_C source) resolved the BH direction contradiction

Jaiswal 2025 independent convergence on p_c

GW echo prediction is pre-registered and testable

r_c2 falls out of existing TSO parameters

Consistent with Gran Sasso ruling out Diósi-Penrose — gravity alone is not enough for collapse

Open

G_μν not yet derived from S/W dynamics

Time emergence form dτ/dt = f(W, Γ_C) not specified

W(r) functional form inside BH unknown

GW echo awaiting Einstein Telescope (2030s)

Notebooks

Black Hole as Preon Dust (10/10)

Preon as TSO Node (10/10)

Ice/Powder = Dust Destruction Suite (9/9)

GRAVITY, BLACK HOLES & COSMOLOGY