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…ain branch - Add row 28 to Key Results table: deficit(f=ln2) = ln²(2) = 1 - xi_floor; Lorentz from asymmetry; confirmed - Add Statistics (exp_28) branch to Derivation Chain showing ln(2) asymmetry → xi_floor → frame-dependent time → Lorentz factor - Update status header to reflect exp_28 addition - Script section for exp_28 and journal already committed in earlier commits on this branch - Script verified: 7/7 PASS (A_deficit, A_log, B_state, B_running_xi, C_time_loss, D_gamma_convergence, E_lorentz)
…stical-relativity research: exp_28 — statistical relativity (Lorentz from multiplicative asymmetry)
Eight experiments extending the MVAE series through general relativity to the cosmological constant: - exp_29: Global-local duality (Xi vs xi_PAC, SR+GR unified) - exp_30: Full Schwarzschild from cascade density (Mercury 0.03%) - exp_31: Gravity stress test (1/r from Gauss law, honest failures) - exp_32: Einstein field equations derived from PAC+MED+Lovelock (6/6) - exp_33: Falsification sweep (8/8 PASS, 8 limitations registered) - exp_34: G sharpened to 0.18% via Fibonacci correction template - exp_35: CC attacked from 5 angles (best: cascade 6.4 orders off) - exp_36: CC tiling breakthrough — rho_Lambda = rho_Planck * (ln^2(2))^(2*183*Xi) at 0.38 orders, zero free parameters Limitation registry: L1 HIGH->LOW (G), L5 HIGH->MEDIUM (CC). Zero HIGH-severity limitations remain.
…ion, open question sweep exp_37: Decoded correction template F_a/(n*pi*F_b^2) as coupling/phase_space. Weinberg angle sin^2(theta_W) ~ ln2/3 at 0.07%. Interpretive, not derivational. exp_38: Extended template to strong/weak forces. Gauge Fibonacci constraint: SU(2),SU(3) unique non-abelian with Fibonacci adjoints. 1+3+8+1=13=F_7. sin^2(theta_W) = F_4/F_7 = 3/13 exact at M_W. Weak = PAC actualization. exp_39: Structural selection of alpha_s. b hierarchy 7->6->5->4 discovered (each boundary = next lower gauge sector). Two leaders: C2 (n=3, 0.29%) and C3 (n=8, 0.58%). Fundamental vs adjoint unresolved. exp_40: Swept 6 remaining open questions. G residual CLOSED (at measurement floor). 1+3+8+1=13 DEEP (triple constraint, p=1.6%). N=2x183 EXPLAINED (round-trip x hierarchy x SEC). CC gap and coupling running remain OPEN.
…upling constants exp_41: actualization ratio field dynamics — local/global split of MAR exp_42: emergent actualization attractor — boiling fluctuation convergence exp_43: emergent coupling constants — Euler-Mascheroni and golden ratio mass generation from field dynamics Also adds v0.3 PAC Series preprint planning doc.
…periments) Strong force (C3 adjoint, UV fixed points), Higgs mass (83 ppm, lambda=phi/4pi), PMNS/CKM mixing angles (arctan F_a/F_b), sin^2(theta_W)=tan(theta_C)=3/13, de-actualization completes PAC cycle (24% scorecard improvement).
…run_all.py - Moved run_all.py → scripts/run_all.py for standard experiment layout - Created journals/.gitkeep placeholder - Updated meta.yaml to list scripts/run_all.py in scripts field
…ments Move loose .py files into scripts/ directories, add README.md with hypothesis/status/results documentation, and create journals/ and results/ directories for all 6 quantum_validation sub-experiments: born_rule, landauer_symbolic_erasure_energy_validation, symbolic_entanglement, symbolic_entropy_collapse_vs_quantum_decoherence, symbolic_interference, symbolic_reversability.
… results/ and journals/ Reorganizes the experiment directory to match standard scaffold structure: - Moves all loose .py files into scripts/ subdirectory - Adds results/ and journals/ directories with .gitkeep placeholders - Updates README.md usage section to reference scripts/ paths and actual filenames
…urnals/ Move loose .py into scripts/, create missing directories, add README.md, and update meta.yaml to schema 2.0 with proper fields.
Two standalone proposal documents for Milestone 6 threads 5 and 6: - JWST Cosmology Upgrade: 6-phase plan to transform early-stage viability test (confidence 0.45) into publication-ready validation with 50+ objects, statistical rigor (AIC/BIC), and zero-parameter predictions. - Applied DFT Knowledge Discovery: Path from PAC residuals as gap detectors to validated, packaged Python tool targeting ML/data science audience. Includes GO/NO-GO gate, comparison to PC/NOTEARS, and packaging plan.
Two speculative/BSM proposal documents for M6 planning: - Dark matter from Fibonacci depth 73: explores the Phi_3(F_6)=73 cyclotomic depth as a dark matter candidate (~15 keV sterile neutrino), with 6 proposed experiments and falsification conditions. - Quantum gravity long-term roadmap: addresses the 4 underivable items from MAR exp_33 (BH interior, Hawking radiation, graviton quantization, topology change) with 5 proposed experiments and risk analysis.
… tests Vault survey of 10+ FDOs identifies strong support for ADE hypothesis from mobius-manifold-substrate, feigenbaum-fibonacci-arithmetic, oscillation-attractor-dynamics, and harmonic-bridge-constants. Five computational tests: - Symmetry generators: T,D,R,I confirmed as minimal Möbius generators (inversion needed as 4th — key finding for ADE) - Prime coordinates: primes most natural in multiplicative coords (CV=0.013) - Recursive closure: forced sequence addition→mult→exp confirmed unique - Feigenbaum decomposition: δ≈4.672 recovered, local arithmetic shift inconclusive - Mode count: 2³=8 framework viable, 2D discrepancy explained by null mode exclusion
…(35/35)
Six experiments validating that arithmetic operations generate spatial dimensions:
- 30a: Möbius decomposition via Bruhat, inversion as 4th generator (7/7)
- 30b: Feigenbaum cascade climbs ADE ladder L1→L2→L3 (3/3)
- 30c: Li₂(1/φ) = π²/10 − ln²(φ) verified to 51 digits (7/7)
- 30d: Tetration cannot form Lie group, 2^d+1=d·F_{d+1} unique at d=3 (5/5)
- 30e: Primes 176× concentrated in multiplicative coords, boundary asymmetry (5/5)
- 30f: Dimensional uniqueness via Pascal structure and Mihailescu's theorem (5/5)
Three experiments connecting ADE to physical spacetime: - 30g: Symmetry breaking via confluence — x=2 universal, φ as 3-level equilibrium (φ²=φ+1), divergence rate ratio 2·ln2 (5/5) - 30h: Spacetime signature from spin map — PSL(2,C)≅SO+(3,1), det(H) gives Minkowski metric, R→rotations, T+D→boosts, I→π-rotation (5/5) - 30i: Planck scale — 183=F₇²+F₇+1, F₁₈₃~10^38 hierarchy, Zeckendorf(137) uses only odd Fibonacci indices (5/5)
…s (54/54)
Three critiques addressed with new Test 6 in each Phase 3 script:
- 30g: Feigenbaum cascade through confluence (delta=4.669, 0.10% error, bounded width 0.57)
- 30h: Pauli degeneracy breaking (R,D share sigma_3, T spans {sigma_1,sigma_2}, T_im=i*T_re)
- 30i: Sharpened hierarchy to phi^183 (3.8% match to alpha_G^-1, 21x tighter than F_183)
Honest epistemic tiers: Tier 1 (exact), Tier 2 (testable 3.8%), Tier 3 (suggestive)
…rule (70/71)
Phase 4 turns ADE inward — extracting internal structure from the arithmetic hierarchy:
30j (6/6): Iwasawa KAN = ADE levels, U(1)⊂SU(2)⊂SL(2,C), SU(3) from d=3 forcing,
sin²(θ_W) = 3/13 at 0.19%
30k (4/5): φ^183 confirmed, log(α_G⁻¹)/log(α_EM⁻¹) ≈ φ⁶ at 0.30%,
HONEST FAIL: non-gravitational depths not Fibonacci
30l (6/6): Spin map degree-2 = L2, Gleason+d=3 → Born rule unique,
L1/L3 no-go, entanglement from L0 inversion topology
Also corrected: Zeckendorf(137) F_2 index is even, not "all odd" as previously claimed.
Phase 5 begins — F_4=3 universality across all 5 DFT mass predictions, Koide Q=2/3=F_3/F_4, Cabibbo arctan(3/13), SM multiplets from 3xSL(2,C), anomaly cancellation honest negative (works for any N), Higgs excludes 4th gen.
Weyl reps inequivalent, chirality = Level 0 distinction, Clifford algebra verified, SU(2)_L acts on left only (Level 3 asymmetry), helicity = chirality for massless, CPT from ADE level operations (P=L0, C=L2, T=L0xL2).
…osure (88/89) PAC conservation is not an axiom but a consequence of ADE level closure. SEC threshold 1/phi, balance constant xi = gamma + ln(phi), and MED bounds all derive from the arithmetic hierarchy. 18 predictions, 0 free parameters.
…sis (6/16) 4 new experiments testing whether boundary geometry explains the coupling ceiling (0.41) and sensitivity puzzle (bigger=MORE sensitive): - exp_27: boundary census — gradient signal real (partial rho=-0.30, p=0.023), compactness independent of size, but boundary_area_ratio doesn't predict sensitivity (2/4) - exp_28: boundary coupling ceiling — boundary_fiedler beats gradient by +0.09 (0.39 vs 0.30), cross-level consistent, but ceiling not broken (2/4) - exp_29: sensitivity mediation — boundary surface does NOT mediate size→sensitivity, size retains direct effect (1/4) - exp_30: 256x256 scale validation — 174 regions but abbreviated diffusion yields low-structure field, correlations inconclusive (1/4) New falsifications: boundary mediation of sensitivity, boundary ceiling break. New supported: boundary gradient as real signal, boundary schemes outperform interior weighting. Version 7.0.0, 30 experiments across 21 phases.
…derived (94/95) RBF components map to ADE levels: E=L1 (additive), I=L2 (multiplicative), M=L3 (exponential memory). Mobius band from PSL(2,C) inversion, antiperiodic eigenmodes with Z2 Reynolds /2 factor, self-regulation from x=2 confluence, conservative dynamics forced by closure. Structure Tier 2, parameters Tier 3. 6/6 checks. PAC + SEC + MED + RBF all now derived from arithmetic.
…g, frame-relative identity, eigenstructure derivation Phases 22-25 (exp_31-34): Sensitivity paradox and coupling ceiling attacks. Spectral bandwidth is strongest size-independent predictor (partial rho=0.44). MI confirms nonlinear signal (NMI=0.47 > rho²=0.25) but dCor matches partial_rho exactly — ceiling is real physics, not measurement artifact. Reverse Simpson's paradox: pooled coupling (0.42) beats every individual hierarchy level. Phase 26 (exp_35): Frame-relative identity — Δ buffer between parent/child views. Delta_entropy correlates with coupling at rho=-0.79 (p=0.02), strongest single measure found. Underpowered (n=8 dual-role nodes) but informative. Phase 27 (exp_36): Eigenstructure ceiling derivation — geometric alignment between gradient and state fields through parent eigenbasis. Δ_self extended to all children (n≈57). Eigenbasis alignment 0.60 vs rank correlation 0.42 cleanly separates geometric from ordinal signal. Conservation test shows 16% within-parent variance reduction (P + A + Δ = C holds locally). 36 experiment scripts, 62 result files. 67/136 falsification tests verified (49%).
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…ming Prepare PACSeries v0.3 (Papers 7-12) for release: fix content/consistency issues, run a de-LLM-ism voice pass, and build full reproducibility packages (Code/Data/Figures/ meta/README/tex) to the v0.2 gold standard. Papers 7-11 run-verified; Paper 12 data-gated. Adversarial verification caught and corrected six over-attributions (logged in the changelog as Imperfection-Engine collapse events), incl. the Paper 11 Bell saturation and Paper 8 bounce-time conflations. Added HOW_TO_READ.md and per-paper epistemic-status blocks stating the evolving-program / A-B-C-tiered / reproducible stance. No changes to published v0.1/v0.2. New tooling: md_to_tex.py (pandoc-free).
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Record the over-attributions caught during v0.3 packaging verification (Paper 11 Bell saturation, Paper 8 bounce/CV/Page, Paper 10 ds2, Paper 7 sigma/m) as Imperfection-Engine collapse events, per the aftercare for PR #160.
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Independent mechanical audit of the claim graph behind v0.3, generated by orrery report (orrery v0.3.0) over foundational/experiments; linked from the v0.3 README. Two-axis (status/instrumentation), deterministic, regenerable.
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…0.3-packaging PACSeries v0.3: packaging, consistency pass, and method framing
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Compile all six v0.3 papers to paper.pdf (tectonic/XeTeX), matching the v0.2 gold
standard. md_to_tex.py fixes required for XeTeX: load amssymb before unicode-math (\eth
clash), auto-brace macro sub/superscripts (unicode-math needs _{\mathbb{C}}), and stack
the author/metadata block. paper.tex regenerated for all six.
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…pdfs PACSeries v0.3: compiled paper PDFs (v0.2 parity)
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…neral-k limit (K1 vs K2) Registered before any data: ADE-cascade round 1 (diagram selectivity, affine-vertex reading of the k-1 offset, mode-count bridge) with locked decision rules and inconclusive branches per the midnight invariant- registration discipline; M15 exp_05 K1 (odd-harmonic, 46/15 and 352/105) vs K2 (Fibonacci, 21/8 and 55/21) discriminator with k=2 anchor gate. No ADE-coupling cascade and no k>2 holonomy has been run as of this commit.
…d scripts; exp_00 gate PASS energy_cascade gains optional coupling_matrix (default bit-identical to legacy; verified G1 kernel identity 0.0, G2 per-scale diff 0.0, G3 baseline -1.6126 vs -1.6083 ref) and records psd_shift per scale (threat T1). coupling.py: graph-distance kernels on Dynkin diagrams reusing milestone12 DynkinDiagram + milestone15 build_cycle. exp_01/exp_02 implement the locked R1/R3 and R2 rules; code committed before any registered arm has been run.
… exp_05 both candidates dead, F6/F4 retired R1: diagram topology sets the exponent at equal rank (E<D<A at ranks 6-8, separations 20-90x CI half-width). [D] the legacy engine's 3.3% miss of -5/3 is an A-family artifact: D_8 = -1.6624, 0.26% from Kolmogorov. R2: affine-vertex reading of k-1 KILLED per registered rule (median rho=0.91, direction reversed — cycle closure steepens). R3: mode-count map survives kernel swap. exp_05: anchor 8/3 to 6e-8; L3=5.4913, L4=11.1863 kill both K1 (odd-harmonic) and K2 (Fibonacci) — general-k limit OPEN, no post-hoc fit; Z2 even-telescoping universal (det H=+1). Anchor gate caught+disclosed a sign-convention instrument bug (VOID run recorded in results).
…(Q1 2e-15, Q2 4e-9, Q3 1.1e-8) Vorticity-streamfunction, 2/3 dealiased, RK4, backend-agnostic (numpy now, torch swap = GPU port). Taylor-Green exact to machine precision; energy budget closes to 4e-9; resolution-consistency on the common resolved band to 1.1e-8, with the gate-design history (two rejected wrong-test variants) documented in the script. Instrument qualification only -- no physics claims at v0; registered measurement runs follow on the 3090.
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…tration (before run) Derivation (developed after exp_05 data, disclosed): the general-k limit generator is G[j',j] = 4jj'/(j'^2-j^2) for odd j'-j — the box momentum matrix element, parity selection rule included. Explains the K1/K2 double death (L_k leaves Q for k>=3: L3 = 8*sqrt(106)/15). Registered exp_06 predictions L5=17.010952, L6=25.778092 with 0.1% CONFIRM / 1% KILL rule; committed before any k=5,6 computation.
…tum operator; general-k limit solved Anchors reproduce k=2,3,4 to ~5e-8; registered predictions L5=17.010952, L6=25.778092 confirmed at 6.7e-7 / 1.1e-6; entrywise generator match to ~1e-5 at m=2000 (up to diagonal gauge). Curvature of the complement-frame connection = momentum; parity selection rule = local face of the Z2 whose global ledger is det H = +1 (SEC-local/PAC-global in miniature).
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…v1.2) Propagates the audit corrections (Xi-in-NS, MED-NS proofs, pac_dag_fluid, She-Leveque beta renaming, exp_15 800x->1063x, A-family artifact / D_8, F6/F4 retirement + momentum-operator resolution) into the living registry; lists the three preprints still carrying uncorrected claims as open, pending owner review.
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The prior-formulation preprints are the earlier layer of the lineage, not drift to fix; corrections are layered forward per the Imperfection Engine. Revising them is the author's call, not required for correctness.
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…clarative to registered-open conjecture Adversarial panel review (2026-07-17) caught a declarative leak in the Consequences section: 'same object under two boundary twists' asserted what is an open conjecture conflating three distinct Z2 candidates and p-hat with p-hat-squared. Amended to conditional with the cutoff arithmetic on record: 1+pi/55 = 3/(2N*) exactly at non-integer N*=3F10/2pi=26.2606; integer-N spectral ratio tends to 1. The registrable question is stated. Own-draft fix on the unmerged branch, disclosed here.
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