v24.2

72 Gates of Integrity

Complete sterile certification framework with 72 hard locks organized into 6 symmetry blocks. $72 = 24 \times 3$ aligns with the 3-fold symmetry of the torsion pins. Every gate is LOCKED — STERILE: 72/72 GATES LOCKED.

The Three Topological Seeds

$b_3$
24
$G_2$ manifold Betti number (TCS #187)
$k_\gimel$
12.3183098862
Spectral gap from Leech lattice
$\varphi$
1.6180339887
Golden ratio from minimal surfaces
--
Gates
--
Locked
0
Open
0.26
χ²/dof

Run Validation Locally

To validate all gates, run the simulation suite from your terminal:

python run_all_simulations.py

This validates all certificates and outputs OMEGA = 0 for STERILE confirmation.

Formal Proof Documents

Mirror Brane Metric Derivation

Formal proof of $w_0 = -23/24$ from $G_2$ thawing quintessence: $w_0 = -1 + 1/b_3$

View Document

Mirror Brane Resonance

Wolfram Mathematica symbolic validation of fine structure constant derivation.

View Notebook

Proof Manifest v16.2

Complete proof chain and validation status for all PM v24.2 derivations.

View Manifest