Releases: dancinlab/echoes
Releases · dancinlab/echoes
v0.2.1 — Zenodo release
Zenodo DOI release. Adds/updates CITATION.cff with project metadata.
N6 Architecture v0.2.0 — 137 Lenses + 127 Breakthrough Theorems
Major update: NEXUS-6 engine with 137 lenses, 127 BTs, 322 DSE domains, 32 doc domains.
- 17 AI techniques
- 130+ telescope lenses
- 322 TOML DSE domains
- 127 Breakthrough Theorems (BT-1~127)
- Testable predictions: 45 falsifiable
v3.0 — GUT Hierarchy + Monster Group + Cross-Domain Breakthroughs
N6 Architecture v3.0 — GUT Hierarchy + Monster Group
Papers (4)
| Paper | Target | Topic |
|---|---|---|
| Paper 1 | cs.LG | N6 Inevitability Engine: 16 AI techniques |
| Paper 2 | math.NT | Core theorem σ·φ = n·τ ⟺ n=6 + 28-domain survey |
| Paper 3 | plasma-ph | Tokamak: Egyptian fraction q=1 + Snowflake 6-leg |
| Paper 4 | math-ph | GUT Hierarchy + Monster Group from σφ=nτ |
Breakthrough Theorems (19 total, 6 Three-Star)
New in v3.0
| BT | Grade | Finding |
|---|---|---|
| BT-13 | ⭐⭐⭐ | σ±μ Internet Infrastructure Duality: TCP(11)+DNS(13)=24=core theorem, twin primes |
| BT-14 | ⭐⭐ | Carbon-Silicon Tetrahedral Bridge: C-12=σ(P₁) → Si-28=P₂, shared τ=4 valence |
| BT-15 | ⭐⭐⭐ | Kissing Number Quadruple: K₁..₄=(2,6,12,24)=(φ,n,σ,J₂), four proved theorems |
| BT-16 | ⭐⭐⭐ | Riemann Zeta Trident: ζ(2)=π²/6, ζ(-1)=-1/12, BCS=12/(7ζ(3)) |
| BT-17 | ⭐⭐ | SM Fermion-Boson σ-Balance: (n/φ)×τ = σ = 12 gauge generators |
| BT-18 | CONJ | Vacuum Energy Chain: E₀=-1/24 → η²⁴ → Δ(wt σ) → j → Monster |
| BT-19 | ⭐⭐⭐ | GUT Hierarchy 11/11: ranks (τ,sopfr,n,σ-τ), dim(SU(5))=J₂, p≈0.004% |
Strongest Finding: BT-19 GUT Hierarchy
SU(5) rank 4 = τ dim 24 = J₂ = core theorem value
SO(10) rank 5 = sopfr
E₆ rank 6 = n Coxeter h = σ = 12
E₈ rank 8 = σ-τ E₈×E₈ dim = 496 = P₃
SU(5) → SM: 24 = 12 + 12 = σ + σ = φ·σ
Reps: 5̄=sopfr, 10=σ-φ, 15=σ+n/φ
SM: (σ-τ)+(n/φ)+μ = 8+3+1 = 12 = σ
Brute-force verified: n=6 is UNIQUE (10⁴ exhaustive)
Combined p-value: ≈ 0.004%
Network Protocol: 30 Hypotheses + 6 Predictions
- 8 EXACT / 14 CLOSE / 8 WEAK / 0 FAIL
- 6 testable predictions (PRED-NP-1~6)
- PRED-NP-4 (ML-DSA-87) already confirmed
Atlas Constants
- 310+ registered entries (170+ EXACT)
- 28 domains fully scanned (wave 12-23)
- 8 cross-domain bridges
- All extreme-hypotheses.md EXACT entries synchronized
Rust Calculators
tools/gut-calc-rust/main.rs— GUT group verification (11/11)tools/gut-calc-rust/bt19_bruteforce.rs— Uniqueness brute-force to n=10⁴
Statistics
Files: 12 changed, +2,596 / -170 lines
Commits: 12
BTs: 12 → 19 (Three-Star: 6)
Papers: 3 → 4 (1,572 total lines)
Atlas: 277 → 310+ entries
Part of TECS-L family
v1.0.0 — Energy Efficiency
Initial release: 10 AI energy reduction techniques from number theory. FFT-Mix 3x faster, Phi-Bottleneck 67% param reduction.