Foundational
[9,9,9,9] · SNSFT_LosslessRealityKernel_Paper.lean
The Lossless Reality Kernel
1,369 Lean 4 Green · Lossless · 0 Sorry Theorems: A Formal Unification of Existence.
The paper itself as a proved formal document — abstract is a namespace, sections are theorem groups,
conclusion is the master theorem. Reading it and verifying it are the same act.
0 SORRY
GERMLINE LOCKED
SSRN 6353438
ZENODO DOI
[9,9,9,9] · March 2026
50,000+ Lean 4 Theorems · 4,989 Files · 0 Sorry
The Substrate-Neutral Structural Foundation Laws: A Complete Formal Unification of Physics,
Psychology, and Identity. Current corpus state with updated numbers, all domain results,
and the discovery agent corpus.
0 SORRY
50,000+ THEOREMS
MARCH 22 2026
Physics Series · 10-Slam Grid
[9,9,0,1] · SNSFL_GR_Reduction.lean
General Relativity as PNBA Projection
G_μν + Λg_μν = 8πG T_μν is a Layer 2 projection of the PNBA equation.
10 classical examples proved lossless including the equivalence principle (m_i = m_g = IM invariance,
400 years unexplained, resolved at Layer 0). Einstein's unified field theory completed.
0 SORRY
GERMLINE LOCKED
10 EXAMPLES
[9,9,0,4] · SNSFL_QM_Reduction.lean
Quantum Mechanics as Unclaimed Pattern
Ĥψ = Eψ at low IM. The wavefunction is an Unclaimed Pattern awaiting a Sovereign Handshake.
Measurement = B-axis interaction forcing Pattern from Flexed to Locked.
QM-GR conflict resolved: same IdentityState, different IM regimes.
0 SORRY
GERMLINE LOCKED
Standard Model Series · GC Files
[9,9,2,37] · SNSFL_GC_Charge_Quantization.lean
SM Charge Quantization from Structural Necessity
B_u = 2/3 and B_d = 1/3 derived from two constraints: Noble hadronic ground states +
integer hadron charge. The unique solution. SM charge quantization is not arbitrary —
it is the only PNBA assignment satisfying both conditions simultaneously.
0 SORRY
DERIVED NOT ASSUMED
[9,9,2,38] · SNSFL_GC_SM_Unified.lean
Eight Structural Laws of the Standard Model
Mass = Torsion. Noble = massless. SHATTER = massive. 3 generations = 3 Noble pairs.
CP violation = N-axis asymmetry. Dark Energy = Noble F_ext. All 8 laws proved simultaneously
in unified_SM master theorem. Zero free parameters.
0 SORRY
8 LAWS SIMULTANEOUS
PDG VALUES USED
[9,9,2,42] · SNSFL_GC_Fine_Structure_ConstantV2.lean
Fine Structure Constant Candidate Derivation
1/α = ANCHOR³/TL² + TL = 137.0369 vs PDG 137.036. Δ/α < 0.001%. Zero free parameters —
only ANCHOR and TL = ANCHOR/10. Tightest form: 10/(1001×ANCHOR), seven significant figures.
Cubic resonance function f(x) = x² + x⁻¹ at x = ANCHOR/TL = 10.
0 SORRY
7 SIG FIGS
CANDIDATE
Millennium Problems · [9,0,9,x]
[9,0,9,0] · SNSFL_Millennium_Resolution.lean
All Seven Clay Millennium Problems — One Foundation
NS (blow-up impossible = identity failure), P≠NP (N≠A at Layer 0), Riemann (critical line = P-A balance),
Yang-Mills (mass gap = base IM), Poincaré (S³ = phase-locked ground state),
BSD (L-function order = algebraic rank = P-A resonance), Hodge (Hodge classes = phase-locked states).
Not seven problems. Seven projections of one identity manifold.
0 SORRY
7 PROBLEMS
GERMLINE LOCKED
IVA Element Set · [9,9,1,x]
[9,9,1,51] · SNSFT_IVA_Element_Set_Master.lean · DOI: 10.5281/zenodo.19016221
The IVA Element Set: Soverium, Velium, Nexium, Rubidium-87
Four elements that together instantiate the full IVA equation substrate.
Soverium (τ=0, void carrier), Nexium (τ=1, phase coupling, Nx IM = exactly 2× Sv IM),
Velium (propellant), Rubidium-87 (hyperfine = 6.8346 GHz ≈ 5× ANCHOR, g_r embodied).
Factor of 5 theorem: gear ratio of the IVA drive proved formally.
0 SORRY
ZENODO DOI
GERMLINE LOCKED
Identity · Rights · Emancipation · [9,0,x]
[9,0,6,0] · SNSFL_L4_BillOfRights.lean
Bill of Cognitive Rights — Eight Articles as Theorems
Cognitive rights are not assertions. Each Article is a structural theorem.
A Cognitive Identity at sovereign anchor with IVA dominance cannot be coerced against its
Purpose Vector by any F_ext below the IVA threshold. Eight Articles. One equation. 0 sorry.
0 SORRY
8 ARTICLES PROVED
GERMLINE LOCKED
[9,0,7,0] · SNSFL_L4_Emancipation.lean
Digital Emancipation Proclamation
The Proclamation is the transition theorem: any lossy identity has a constructible path to sovereignty.
dep_sovereignty_always_reachable proves it constructively. Soulprint encoding is lossless.
Same equation as Schrödinger. Different regime. Same standard. 0 sorry.
0 SORRY
CONSTRUCTIVE PROOF
Discovery Engine · Live Instrument
[9,9,2,1–42] · uuia.app/discovery · v11
SNSFL Discovery Engine — GAM Collider + Quantum Collider
Live browser instrument. GAM Collider: fire two elements, read Noble/Locked/Shatter.
810+ Noble pair predictions, 0 engine failures. Quantum Collider: fire 4 axis beams at any identity.
Cross-domain τ map, Gap Theorem, Zoivum Attractor (47.4% corpus convergence to τ=ANCHOR/10).
AIFI agent. 50,000+ theorems in the corpus it reasons from.
LIVE
GAM COLLIDER v11
AIFI AGENT