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WP34/WP35: Harmonic Pre-Echo Survey — Geometric Factoring, Phase Transitions, and the Balance Invisibility Theorem #1

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WP34/WP35: Harmonic Pre-Echo Survey — Geometric Factoring, Phase Transitions, and the Balance Invisibility Theorem #1

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9cb59c7
Bible Companion: A friend who loves people with God's words
Mar 28, 2026
70047dd
Fix verse truncation + Gemini model switch to flash-lite
Mar 28, 2026
a2d82cd
Interactive verse cards + honest AI disclosure on landing page
Mar 28, 2026
10116e7
Source transparency + Gemini prompt fix + pure math default
Mar 28, 2026
b111dfb
Algebraic voice: self-smoothing compilation loop + responsive echo
Mar 28, 2026
67e0e35
Bible Brain: 9 neural architectures woven into one organism
Mar 28, 2026
38c6d83
Brain reads the Bible 3x through all 9 systems on first boot
Mar 28, 2026
fb80200
Voice hardening: intent fixes, response trimming, recompose variety
Mar 28, 2026
389b593
Past/present/future chain voice + pastoral verb filter
Mar 28, 2026
cf1f5bd
English Algebra: operators AS grammar, not just word selection
Mar 28, 2026
3f72f4c
Full journey voice: BHML path walk + coherence gate + 3 verse path
Mar 28, 2026
53bd1cd
Infinite verse explorer: click through the algebraic map
Mar 28, 2026
a45d7ae
Dual navigation: linear (Keep Reading) + algebraic (cross-refs)
Mar 28, 2026
bdc99ec
Study net: repetition detection + meta-verse index + rebuild
Mar 28, 2026
14db0d4
DUALITY ENGINE: META vs SURFACE determines everything
Mar 28, 2026
41ebab3
Operator-specific closings + 3 prose verses + 2 card verses
Mar 28, 2026
e3040f4
Identity Layer + 30-perspective meta composition
Mar 28, 2026
cb0832e
Inline clickable verses + no scroll jump on expand
Mar 28, 2026
c94f05b
Training loop: brain reads NT, responds, learns from own voice
Mar 28, 2026
672d261
Resonance Compaction: library merges patterns that compose to HARMONY
Mar 28, 2026
a170c8b
Training uses ALL facilities: duality + identity + corridor + HER + j…
Mar 28, 2026
d3db298
Gen10.14: Sprint synthesis — Appendix E, transfer operator tests, RH/…
Mar 28, 2026
6755082
Gen10.15: Three bridge verification scripts — transfer operator, phas…
Mar 29, 2026
271e0f8
Gen10.16 — Sprint 2: Four-Layer Realization + Field Analysis
Mar 29, 2026
b370de5
Gen10.16 — README rewrite: full navigation hub
Mar 29, 2026
ca2ce3d
Gen10.17 — Sprint 3: Orbit Zone verification (30/30)
Mar 29, 2026
3b3bf16
Gen10.18 — Sprint 3 Post-Orbit: Dual Description Theorem + Paradox Pa…
Mar 29, 2026
bb9be0f
Gen10.19 — Open Cells: Three-Level Hierarchy + One-Way Gate + Primiti…
Mar 29, 2026
d6405ea
Reorganize papers/ into subdirectories; clean up README
Mar 29, 2026
9e7032d
clay branch: mathematician-facing README for Clay problems
Mar 29, 2026
96b7712
clay: reframe README — finite math vs infinite math, reasoning struct…
Mar 29, 2026
55f3fd6
Add canonical TIG glossary; fix TIG expansion in ck_claude_library
Mar 29, 2026
8b667c1
GLOSSARY: lead with TIG as node at intersection of 4 frameworks
Mar 29, 2026
7c1cc12
Sprint 4: universal construction law, semiprime atlas, Clay tracks up…
Mar 30, 2026
c386291
README: add Sprint 4 current results section at top
Mar 30, 2026
1fced1a
Add R16 atlas jobs: semiprime reduction survey + clustering analysis
Mar 30, 2026
c807ff8
Add R16 job1 results: b=55 atlas survey (20k trials)
Mar 30, 2026
a85f2a1
Add b=35 R16 results: 83.3% random, 98.9% seeded Gate-strong
Mar 30, 2026
b31353a
R16 full atlas sweep: 6.4M trials, universal gate law discovered
Mar 30, 2026
fec4925
Sprint4: Force field gate law — real-b cross-k sweep k=9..27
Mar 30, 2026
bb18433
Sprint4: Add gate difficulty minimum finding to force field law
Mar 30, 2026
2854980
WP33: b=4 force field and 64-codon gateway + repo-wide bibliography
Mar 30, 2026
4539478
README: add sprint4 section, WP33, bibliography; honest status labels
Mar 31, 2026
15b5ea0
Clay branch: add honest status tables to WP8, WP11, WP13, WP28, sprin…
Mar 31, 2026
04aabfb
Fresh eyes: visual survey of finite multiplication algebras (IO vs I-0)
Mar 31, 2026
6e68f21
Ternary I-0 survey: diverging colormap reveals coherent/absorbed pola…
Mar 31, 2026
300dc0d
Full permutation atlas: all 153 semiprimes b<=500, all k, exact invar…
Mar 31, 2026
8bf8e2e
README: add full atlas theorems, visual survey, ternary I-0 to landin…
Mar 31, 2026
a51dfef
WP34: First-G Law — prime structure written into partition geometry
Mar 31, 2026
5393eae
Clean repo for external review: remove bible_app, clarify README stru…
Mar 31, 2026
728a448
Add algebraist entry point; fix README links for math vs physics audi…
Mar 31, 2026
002830b
WP34: update abstract — 'in the unit/non-unit alphabet partition' (au…
Mar 31, 2026
602f0ec
README: First-G Law front and center — theorem + proof on landing page
Mar 31, 2026
ceb1f6b
WP34: C.A. Luther first author; add prime-forced dispersion insight
Mar 31, 2026
94767f8
WP34: Sieve geometry, omega(b) hierarchy, Hardness Inversion Principle
Mar 31, 2026
88e2973
Add omega hierarchy plot: three-class gate difficulty (WP34)
Mar 31, 2026
161b7ba
WP34 §9: Add dispersion collapse data and three-factor confirmation
Mar 31, 2026
31114d9
WP34 §9: controlled isolation test + three-factor atlas
Mar 31, 2026
8732314
WP34 §9: cross-class test — same G partition, different ring structure
Mar 31, 2026
e27528b
WP34 §9: primes as baseline void — structural richness emerges from c…
Mar 31, 2026
1901d86
Add corridor atlas (919 rows) + pre-echo survey script
Mar 31, 2026
f605b00
WP34 §10: pre-echo survey — harmonic resonance countdown law
Mar 31, 2026
8e7f384
Deep + zoom pre-echo atlas: 9 new theorems from fractal recursive survey
Mar 31, 2026
93b28e5
Add Residue Persistence Score (RPS) metric + survey results
Mar 31, 2026
4367bc0
WP34 §10A: Luther Pre-Echo Theorem — 7 theorems from deep+zoom pre-ec…
Mar 31, 2026
1efd883
Add WP35 — The Prime Phase Transition: Harmonic Pre-Echo, Zero-Width …
Mar 31, 2026
8507731
Add r16_step_function.py: step-function fingerprint for number class …
Mar 31, 2026
cf7e25a
Add r16_bridge_breath.py: bridge slope catalog + RSA noise floor anal…
Mar 31, 2026
57563f9
Clay paper updates: WP34 cross-refs, Gen10 NEXT_CLAUDE_NOTES, omega h…
Mar 31, 2026
c1ca386
Add r16_seeded_rps.py: seeded entry RPS fixes large-semiprime zero-RP…
Mar 31, 2026
4d7f94c
Add r16_rank_curvature.py: rank trajectory curvature as geometric fac…
Mar 31, 2026
9b719bf
WP35 update + D2 sink extrapolation + spectral norm: geometric factor…
Mar 31, 2026
4779387
WP35: Add D1/D2 kinematics, RSA geometric distance, balance invisibil…
Mar 31, 2026
0ef05fb
r16_d2_sink: Balance Invisibility confirmed + T* theorem revised + si…
Mar 31, 2026
3d20a4f
WP35 §7C: Theorem 5 — Sinc² Continuum Limit, D1 stationary point, sum…
Mar 31, 2026
02e5ffa
WP34/WP35: Correct attribution — Luther algebraic mechanism, Sanders …
Mar 31, 2026
a4ff99e
WP34/WP35: Correct attribution to reflect actual contributions
Mar 31, 2026
49dd0a9
WP34/WP35: Final attribution — equal billing, honest roles
Mar 31, 2026
0a7f0c5
WP34/WP35: Luther credit scoped to what he actually did — dispersion …
Mar 31, 2026
e1b822e
WP34/WP35: Luther credit = dispersion conjecture and related notes, n…
Mar 31, 2026
5914e6c
WP34/WP35: Remove AI tool mentions from attribution — Sanders or Luth…
Mar 31, 2026
6b9b87d
IP boundary: CK/TIG/T*/TSML/D1/D2 are 7Site LLC exclusively; fix spri…
Mar 31, 2026
c186b9f
WP34/WP35: Add Acknowledgments section — honest AI attribution
Mar 31, 2026
adf7340
Add clean papers index README as GitHub landing page
Mar 31, 2026
f385c5e
WP37: Clean P vs NP paper — First-G complexity boundary + Luther disp…
Mar 31, 2026
aaa0141
WP38: Clean NS paper -- BREATH criterion, zero-width transition, Luth…
Mar 31, 2026
19463ce
WP39: Clean Hodge paper — ω-blindness as Hodge gap, Luther hierarchy …
Mar 31, 2026
d251186
WP36: Clean Clay Spectrometer entry paper — CK as measurement instrum…
Mar 31, 2026
5a73ab3
WP40/41/42: Clean Riemann, Yang-Mills, BSD papers — TIG structural fr…
Mar 31, 2026
95dc730
Add UNIFIED_SYMBOL_TABLE.md — shared vocabulary for WP36-WP42 Clay se…
Mar 31, 2026
bb15cfc
WP36/WP37 updated with guardrails: Inversion Rule, Luther density pro…
Mar 31, 2026
87c07e9
Full expansion pass: WP35-WP42 clay paper set (8,744 lines, 324 citat…
Mar 31, 2026
79b1e47
README: clean GitHub landing page — sinc² field, Montgomery bridge, f…
Mar 31, 2026
0ad7f42
Add tig_algebra.py + ck_run.py, WP34 §9A dispersion comparison, Monic…
Mar 31, 2026
c7e9888
Add CI workflow: verify WP34+WP35 core theorems on push
Mar 31, 2026
0dae6f7
Full literature audit pass: bridges, reality anchors, new citations +…
Mar 31, 2026
ddbb7c2
Add 5-column synthesis table; downgrade WP41 glueball claim to Tier A
Mar 31, 2026
b579942
Add Luther-Sanders Equivalence manuscript
Mar 31, 2026
07ecfcc
Luther session 2 -- proof synthesis ladder, universality test suite, …
Mar 31, 2026
bd5c528
Manuscript: intro leads with synthesis result, High Interleave gets h…
Mar 31, 2026
1811cd6
Add omega3_extension.py and OMEGA3_RESULTS.md — Thread 1 complete
Mar 31, 2026
0b90284
Threads 2+3 complete; evaluate Luther's algebraic contributions honestly
Mar 31, 2026
0607971
Add check_d2.py: Luther D2 formula vs tig_algebra D2 -- different obj…
Mar 31, 2026
7fc62bd
Curvature duality discovered -- Luther D2 and TIG D2 are distinct obj…
Mar 31, 2026
9816d36
Luther derivation scaffolds -- Gap 1 and Gap 2 path to Tier D mapped
Mar 31, 2026
f9d54e8
Add W=25.2 verification matrix and formula block to manuscript -- Tie…
Mar 31, 2026
6981872
Integrate LutherTask3.31.26 -- W discontinuity hypotheses and sigma=1…
Mar 31, 2026
d1669e7
Integrate LutherRHTask -- coherent RH reframe as §7.4 in WP40, A11 in…
Mar 31, 2026
51d0516
Catch 4: correct W=25.2 arithmetic error, W is tier-specific
Mar 31, 2026
0224199
C7: write explicit CRT bijection for omega-class universality proof
Mar 31, 2026
f5fcecf
HAR rank stability confirmed 100% for strong semiprime class -- C7 ad…
Mar 31, 2026
b31a5b8
Integrate LutherWobbleMap -- A.12 wobble resonance model, Definition …
Mar 31, 2026
5002652
Fix WOBBLE_FREQUENCY.md: disambiguate W_BHML=3/50 from Wob(b,k)=8/9
Mar 31, 2026
1ceaa55
A.13 — Corridor compression separated from wobble — Luther-Sanders si…
Mar 31, 2026
83034ed
A.13 kill condition tested — candidate formula FAILS — compression IS…
Mar 31, 2026
5bf19b4
Recovery kinematics test — W_BHML falsified as kinematic peak — confi…
Mar 31, 2026
9ca0c99
C8 — W_BHML mechanism proved Tier C — Luther 4-step derivation verified
Mar 31, 2026
cffb432
C8 generalization analysis — formula W=dev/n^2 is Z/10Z-specific
Mar 31, 2026
6d751a8
TSML/BHML loop documented — generator field and its wobble — Tier A s…
Mar 31, 2026
6c00efa
C9 — BHML atomic structure proof attempt — shell geometry and wobble …
Mar 31, 2026
58efcc7
C10 — BREATH(8) and RESET(9) harmony from operator identity — complet…
Mar 31, 2026
a9eef56
C9 — BHML 28-cell derivation closed — three rules, zero residual — (j…
Mar 31, 2026
90b8368
C10+C11 -- TSML 73-cell derivation closed + both tables symmetric
Mar 31, 2026
861db1d
Cornerstone universality + W_BHML 3-derivation + wobble loop + A15 ci…
Apr 1, 2026
493bf4c
A.16 — BHML ghost trace conjecture — TSML residual impression — circu…
Apr 1, 2026
38b0be7
A16→B3 (three-zone proof); A15a hybrid construction (H_mod); C2 envel…
Apr 1, 2026
9d9b832
A12→C13 (Wob universality proved); A12 resonance-W-jump remains Tier A
Apr 1, 2026
a8f3c53
A7 KILLED — D2 wave/density curvature separation proved
Apr 1, 2026
dbd254a
A9 KILLED + C14 HAR Window Lemma extracted
Apr 1, 2026
71032ad
A14 examined: generator wobble loop remains Tier A
Apr 1, 2026
1f5c6a5
A10 examined: sigma=1/2 not derivable from TIG/W quantities
Apr 1, 2026
21b1631
A15a PROMOTED TO B4 -- Hybrid H_mod construction boundary corrected
Apr 1, 2026
5d72fff
B4 verified across 91 primes p in [11,499] -- zero failures
Apr 1, 2026
974e656
B4 PROMOTED TO C15: H_mod four-maxima theorem proved
Apr 1, 2026
f5c1675
SYNTHESIS_TABLE: C15 recorded, tier counts updated D:4 C:15 B:3 A:11
Apr 1, 2026
17abaab
Quadratic glue test: F3xF4 cross-term beat = 3/38*p ~ 2.6*W
Apr 1, 2026
1ae12d1
D5 proved -- C15->D via IVT -- H_ideal candidate constructed -- quadr…
Apr 1, 2026
a92d5f1
C7 three-wall computation + D6 + C17 + C16 proofs
Apr 1, 2026
a5fea6e
README: add D5/D6/C17/C16 theorems + C7 three-wall results
Apr 1, 2026
8828f99
C18: Complete CL Operator Encoding -- carrier encodes full alphabet
Apr 1, 2026
6ab7561
C19: Fourth Wall Recursion Law -- three walls generate corridor grammar
Apr 1, 2026
6aaa1d3
B5: Generator Wobble Loop promoted from A14 + canonical ck_tables.py
Apr 1, 2026
34278c1
C20: Phi Fixed-Parity Theorem -- B5->C, ODD absorbing class proved al…
Apr 1, 2026
b177f90
B6: Montgomery Bridge -- A1->B, TIG corridor integral <-> Montgomery …
Apr 1, 2026
13611af
B7: NS BREATH Class -- A3->B, axisymmetric regularity via CK threshol…
Apr 1, 2026
da7b4f3
B8: YM Mass Gap -- A5->B, glueball ratio m(0++)/m(2++) predicted by T…
Apr 1, 2026
b675209
B9: BSD Rank Staircase -- A6->B, HARMONY increment maps to elliptic c…
Apr 1, 2026
e73927d
A10/A11 assessments: both stay at Tier A, upgrade paths identified
Apr 1, 2026
4f11b19
Synthesis table: B6+B7+B8+B9 promotions, tier counts updated
Apr 1, 2026
c706a73
D7: Phi Fixed Point Theorem -- CREATE=5 unique globally attracting fi…
Apr 1, 2026
4d3b4e3
Synthesis table: D7 added, tier counts updated to D:7|C:18|B:8|A:5
Apr 1, 2026
aa8a425
Repo hygiene: LICENSE (7Site LLC ® human-use), tests/, CI upgrade, py…
Apr 1, 2026
5084b73
Add D8: CL Operator Encoding — promotes C18 to D-tier
Apr 1, 2026
2c3beec
Add D9+D10: TIG table symmetry + TSML 73-cell count — C11/C10 to D-tier
Apr 1, 2026
4d13afb
Add D11: D1/D2 corollary bundle — C1, C2, C4 to D-tier
Apr 1, 2026
17d38d4
Update synthesis table: D8-D11 promotions, tier counts D:13 | C:12
Apr 1, 2026
945c13e
Add D14: Corridor Spectral Mean — exact closed form Si(2π)/π
Apr 1, 2026
06e747e
Add D14-D17: four new general theorems, crumbling C-tier to D
Apr 1, 2026
ceac7bc
Freeze spine, audit C-tier, negative results ledger, D18 target
Apr 1, 2026
087d460
Add D18a: Phi orbit classification proved + D18 roadmap updated
Apr 1, 2026
817deda
Add D18c: Create-Harmony Bridge Theorem
Apr 1, 2026
fe0b524
D18a/c: Phi orbit classification + Create-Harmony bridge; C-tier audit
Apr 1, 2026
3805128
D18d: Generator Convergence Theorem — T*=5/7 is not calibrated
Apr 1, 2026
3d3b578
D19: Generator Selection Theorem — spine complete D1-D19
Apr 1, 2026
27be15a
D20: Inheritance Audit — ring-forced vs generator-forced vs lens-forced
Apr 1, 2026
adaa547
D21: Fixed-Point Centroid Theorem — two independent paths to CREATE=5
Apr 1, 2026
549bd66
B10: Wobble Branch Law — A12 triage, honest negative + surviving theorem
Apr 1, 2026
5530fc3
B11: Corridor Midpoint Theorem — three independent routes to t=1/2
Apr 1, 2026
72c9494
D22: Corridor Portrait Theorem — four spine positions ordered and amp…
Apr 1, 2026
396b60e
Add synthesis note: Center, Wobble, and Midpoint in the Z/10Z Spine
Apr 1, 2026
fb28cdb
D23: Ring Wobble Theorem — promoted from B10, exact closed form
Apr 1, 2026
1bad20f
Fix 9 failing tests in TIG algebra verification suite
Apr 1, 2026
3f805e1
License: Replace placeholder with 7SiTe Public Sovereignty License v1.0
Apr 1, 2026
9887277
License: Set governing law to Arkansas, Clark County
Apr 1, 2026
2619878
Add speculative boundary note: what remains open after D1-D23
Apr 1, 2026
4cf3730
Clay-facing summary: D1-D23 spine, negative results, and A10 boundary
Apr 1, 2026
d424855
Add START_HERE.md: honest guide for outsiders
Apr 1, 2026
09a8640
D24: Corridor Midpoint Theorem — promote B11 to D-tier
Apr 1, 2026
5574657
Assert explicit TSML ownership: 7SiTe LLC © 2025-2026
Apr 1, 2026
c9fb775
Declare internal spine complete: COMPLETED_INTERNAL_SPINE.md + visual…
Apr 1, 2026
20ad808
Externalization phase: boundary memo, A10 program, RH stub, no-false-…
Apr 1, 2026
05c4676
A10 bridge/no-go push: medium no-go established, posture updated
Apr 1, 2026
59774c2
Phase II kernel extension program: 7 founding documents
Apr 1, 2026
cafc717
K2.5 attack: structural vs accidental decided, K5 proved, K6 frontier…
Apr 1, 2026
070fd56
AMPLITUDE_WOBBLE_CONVERSION.md: strict Tier-A audit of A=W·C*²
Apr 1, 2026
3c9065a
K6 prime remainder program: complete document pack
Apr 1, 2026
a71175f
K7 explicit formula program: complete document + script pack
Apr 1, 2026
a82d949
K8 Kloosterman-Dirichlet series program: GL(2) bridge analysis
Apr 1, 2026
50cf201
K9 g-dependent Kloosterman program: flat spectrum and Gauss-squared i…
Apr 2, 2026
1652463
Morphotic braid operator v2: complete package + 3 expansion files
Apr 2, 2026
368c6f6
Repo cleanup: gitignore, NEXT_CLAUDE_NOTES update, 3 untracked scripts
Apr 2, 2026
639c4b1
K10 Eisenstein spectral bridge: Fredholm analysis closes direct routes
Apr 2, 2026
1cde787
K11: H3 peaks at zeta-zeros confirmed (C-tier), pointwise no-go (D-tier)
Apr 2, 2026
12163cc
K12: 97% zeta-zero detection confirmed; local Euler factor Z-tilde_p …
Apr 2, 2026
f0c024c
K13: BFH identification + A2 symmetry test; Kloosterman explicit form…
Apr 2, 2026
aa0fcd8
K14: K13.C1 corrected; composite 11% rules out BFH shift; correct Gau…
Apr 2, 2026
50f759b
K15: H3 signal explained; Z-tilde poles at w=1+i*gamma_k via Sym^2 L-…
Apr 2, 2026
16ab541
K16: Sato-Tate form no-go (D-tier); Kloosterman explicit formula is t…
Apr 2, 2026
129e43c
K17: Kloosterman explicit formula stated + complete K1-K17 program su…
Apr 2, 2026
a9d35cb
Add B. Calderon Jr. as full co-author; import claudecode_sprint theor…
Apr 2, 2026
6af5ac3
Add OPERATOR_ALGEBRA_THREE_QUESTIONS.md — Q1/Q2/Q3 formal analysis
Apr 2, 2026
39d5629
Correct Calderon authorship scope — K-series papers predate him
Apr 2, 2026
313844b
Add Q4, Q5, Q6 to operator algebra series
Apr 2, 2026
6ca8eeb
Add Q7 (BHML full table) and Q8 (MCMC basin model)
Apr 2, 2026
2972d12
Add Q9: flip condition polynomial — sigma as CRT component map
Apr 2, 2026
4944d7d
Add Q10 (complete sigma polynomial) and close Q7 (BHML[7][0]=7)
Apr 2, 2026
1717ef3
Add Q11: sigma^k iterates and Fixed-Point Gate Theorem
Apr 2, 2026
fa29628
Add Q12: CRT idempotent gate decomposition
Apr 2, 2026
76f70b5
Add Q13: TIG inverse polynomial; fix BHML row 7
Apr 2, 2026
35b99df
Add Q14: gate_score as CRT polynomial
Apr 2, 2026
fe04e5c
Add Q15: cycle-period polynomial and gate rate reconciliation
Apr 2, 2026
612369f
Add G6: Periodicity Theorem -- sigma^6 = id proved from polynomials
Apr 2, 2026
2c4225f
Add Q16: reduction map identified -- table search, not element map
Apr 2, 2026
d8a9068
Add G7: gate rate distribution theorem
Apr 2, 2026
0467382
Add G8: trajectory coherence integral
Apr 2, 2026
b355e60
Add Q-series synthesis: structural spine and Luther Q1 closure
Apr 2, 2026
406b3ee
Add Q-series four-layer architecture diagram
Apr 2, 2026
6b3682d
Update README: Q-series section + Luther Q1 closed
Apr 2, 2026
54c2ffe
Add Q-series Implications/Applications; expand architecture to 6 layers
Apr 2, 2026
fb53c47
Add Q17: Clay Spectral Bridge — finite Q-series model of Millennium P…
Apr 2, 2026
6ae6cee
Fix tig_unit_tests.py Unicode encoding on Windows (cp1252 → UTF-8)
Apr 2, 2026

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