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Releases: dancinlab/echoes

v0.2.1 — Zenodo release

08 May 02:24

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Zenodo DOI release. Adds/updates CITATION.cff with project metadata.

N6 Architecture v0.2.0 — 137 Lenses + 127 Breakthrough Theorems

03 Apr 15:43

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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

30 Mar 20:38

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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

27 Mar 20:51

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Initial release: 10 AI energy reduction techniques from number theory. FFT-Mix 3x faster, Phi-Bottleneck 67% param reduction.