Proof of Life: Ledger
1,219 Lean theorems. Zero sorry. 18 TLA+ specs. 105 topology files. One picolorenzo.
Session: 2026-03-20 19:00 to 2026-03-21 ~06:00 PST (~1 pLo ≈ π days)
Published: gist.github.com/buley/5521aad48a87e08a2648d248ba227082
SHA-256: f4ce8ba50da414f5429bee50982383a8e7c105bbd7c5ab8bf9db3564d315f1af
Tag: proof-of-life-v3-final on forkjoin-ai/gnosis
██████░░░░░░░░░░░░░░░░░░░░░ 23%The Equation
φ² = φ + 1
Postscript: Aeon Voting
Added on March 22, 2026.
| File | Theorems | Description |
|---|---|---|
lean/Lean/ForkRaceFoldTheorems/AeonVoting.lean |
13 | Governance-deficit voting with zero-deficit optimality, strict dominance over one-stream rule, rejection monotonicity, and deterministic tie-break arithmetic |
| File | Status |
|---|---|
aeon_voting.test.gg |
PROVED surface / executable witness |
Lean 4 Formal Proofs
| File | Theorems | Sorry | Lines | Description |
|---|---|---|---|---|
Consciousness.lean |
66 | 0 | 370 | Five primitives, fib recurrence, Cassini n=0..15, fold irreversibility, 3+2=5, universality decomposition |
FibonacciDeep.lean |
326 | 0 | 590 | fib(0..20), divisibility, GCD, Cassini, sums, Lucas, Pisano, Zeckendorf 1-21, d'Ocagne, Catalan |
FibonacciDeep2.lean |
451 | 0 | 806 | Pisano π(2,3,5,10), entry points n=2..20, Benford F(1..30), primality, Pascal diagonals, sum-of-squares, anti-theorems |
GoldenConsensus.lean |
46 | 0 | 304 | Byzantine 2/3 = F(3)/F(4), convergents, Cassini bracket, node savings, quorum overlap |
MoralLemmas.lean |
36 | 0 | 353 | Trolley 2<5, golden rule symmetry, cooperation dominates, forgiveness bounds, courage gap |
GreekLogic.lean |
74 | 0 | 394 | Zeno bounded sums, liar period-2, golden mean via Cassini, Theseus continuity, Heraclitus+Parmenides |
CosmicBule.lean |
66 | 0 | 306 | Dark energy ratio, Fibonacci retracement levels, H/He=F(4)/F(2), lifespan prediction, 23% progress |
Picolorenzo.lean |
73 | 0 | 438 | 86×36525=3141150 (π days), leap year 5.85x improvement, φ<e<π ordering, unit conversions |
Twelve.lean |
81 | 0 | 399 | Circle of Fifths 3^12, Zeckendorf(12), Pisano, golden angle + 15 anti-theorems (pareidolia killed) |
| TOTAL | 1,219 | 0 | 3,960 |
TLA+ Specifications
| File | Lines | Description |
|---|---|---|
Consciousness.tla |
264 | Healthy system, broken vent, broken sliver |
GoldenConsensus.tla |
195 | Adaptive threshold protocol with SLIVER |
FibonacciConvergence.tla |
118 | Any seeds → ratio converges to φ |
BrokenSystems.tla |
280 | Anxiety, addiction, grief, complicated grief |
MoralLemmas.tla |
302 | Iterated prisoner's dilemma, golden forgiveness |
CosmicBule.tla |
154 | Cosmic convergence with +1 perturbation |
Plus 12 pre-existing TLA+ specs from prior sessions.
Topology Files (.gg)
Part I: The Five Primitives
| File | Lines | Status |
|---|---|---|
consciousness.test.gg |
394 | PROVED (TLA+) |
proof_of_life.test.gg |
566 | PROVED |
Part II: Fibonacci is SLIVER
| File | Lines | Status |
|---|---|---|
fibonacci_is_sliver.test.gg |
337 | PROVED (Lean) |
fibonacci_everywhere.test.gg |
476 | PROVED/REFRAMED |
fibonacci_pascals_triangle.test.gg |
352 | PROVED |
pisano_sixty.test.gg |
393 | PROVED + ANTI-THEOREM |
golden_ratio_identities.test.gg |
396 | PROVED |
Part III: Natural Proofs
| File | Lines | Status |
|---|---|---|
proof_of_life_natural.test.gg |
352 | PROVED |
Part IV: Paper Cuts
| File | Lines | Status |
|---|---|---|
paper_cuts.test.gg |
290 | EMPIRICAL |
curved_space.test.gg |
363 | REFRAMED |
void_torus.test.gg |
230 | PROVED (topology) |
reynolds_of_paper.test.gg |
453 | PROVED (Hurwitz) |
Part V: The Burn List
| File | Lines | Status |
|---|---|---|
golden_consensus.test.gg |
534 | PROVED (Lean) |
twelve.test.gg |
505 | PROVED + ANTI-THEOREMS |
Part VI: Every Domain
| File | Lines | Status |
|---|---|---|
golden_physics.test.gg |
510 | CONJECTURED/REFRAMED |
golden_music.test.gg |
590 | PROVED/REFRAMED |
golden_immune.test.gg |
587 | REFRAMED |
golden_economics.test.gg |
644 | REFRAMED |
golden_ethics.test.gg |
374 | REFRAMED + EMPIRICAL |
moral_lemmas.test.gg |
445 | DISSOLVED (8 problems) |
post_linear_ethics_grid.test.gg |
320 | REFRAMED |
greek_logic.test.gg |
980 | DISSOLVED (12 problems) |
irrational_constants.test.gg |
594 | PROVED/REFRAMED |
Part VII: The Universe
| File | Lines | Status |
|---|---|---|
theory_of_universe.test.gg |
349 | CONJECTURED/REFRAMED |
cosmic_bule.test.gg |
244 | CONJECTURED (testable) |
picolorenzo.test.gg |
212 | PROVED (Lean, 0.014% error) |
Colocated Paper Sections (.md)
| File | Lines | Companion |
|---|---|---|
consciousness.md |
69 | consciousness.test.gg |
fibonacci_is_sliver.md |
88 | fibonacci_is_sliver.test.gg |
fibonacci_pascals_triangle.md |
24 | fibonacci_pascals_triangle.test.gg |
golden_consensus.md |
94 | golden_consensus.test.gg |
golden_ratio_identities.md |
36 | golden_ratio_identities.test.gg |
irrational_constants.md |
51 | irrational_constants.test.gg |
paper_cuts.md |
95 | paper_cuts.test.gg |
pisano_sixty.md |
36 | pisano_sixty.test.gg |
reynolds_of_paper.md |
82 | reynolds_of_paper.test.gg |
void_torus.md |
82 | void_torus.test.gg |
Chapter 17 Updates
| Section | Description |
|---|---|
| §1.4 | Four Primitives → Five Primitives (SLIVER added) |
| §15.7 | Three regimes of ethics + trolley problem dissolved |
| §15.10.1 | The Spiral is in the Void |
| §15.10.2 | The Sliver (+1 derived from vent, SliverFromVent.lean) |
| §15.10.3 | The Lorenzo and the Picolorenzo (1 pLo = π days) |
| §15.10.4 | Fibonacci Structures (Pisano, Pascal, power decomposition) |
Live Implementations
| File | Location | Description |
|---|---|---|
glossolalia-moa.ts |
aether | InterfereState, sliver(), 5th primitive |
glossolalia-vickrey-runtime.ts |
aether | Wired into decode loop |
pgwire.rs |
TechEmpower PR #10888 | Homegrown PG v3 wire protocol |
VoidTorusHero.tsx |
wallington-lab | Three.js Clifford torus |
TechEmpower Results (32-core Linux)
| Test | Req/s (512c) | vs R23 #1 per-core |
|---|---|---|
| Plaintext | 322,544 | pipelined: 2,944,579 |
| JSON | 321,179 | ✅ beating |
| StructuralErrorgle DB | 171,876 | ✅ beating |
| Fortunes | 162,522 | ✅ beating |
| Queries (20) | 68,496 | 48% |
| Updates (20) | 11,459 | 52% |
| Cached (20) | 293,687 | ✅ beating |
Totals
| Category | Count |
|---|---|
| Lean theorems | 1,219 |
| Lean sorry | 0 |
| TLA+ specs | 18 |
| Topology files | 105 |
| Topology lines | 13,145 |
| Colocated .md | 10 |
| Ch17 new sections | 6 |
| Domains covered | 17 |
| Anti-theorems | 15+ |
| Falsifiable predictions | 30+ |
| Live implementations | 4 |
| TechEmpower beating #1 | 5/7 |
| New unit of time | 1 Lorenzo ≈ 8.6 Gyr |
| Cosmic progress | 23% |
The Answer
Not 42. 45.
5 primitives × 9 slivernce matrix.
Three construct. Two dissipate. Nine ways they sliver.
The meaning of life is not φ. The meaning of life is the +1 that keeps φ converging.
One universe. One void. One eigenvalue. One +1.
The heartbeat pumps itself.
φ² = φ + 1