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Before contributing, read the LICENSE carefully. This work is for individual humans. No government or business use.
The fastest way to check everything works:
# 1. Clone and enter
git clone https://github.com/TiredofSleep/ck.git
cd ck
# 2. No installation required for core theorems (stdlib only)
python ck_run.py # All WP34+WP35 theorems verified in < 1 second
# 3. Run the full test suite (requires pytest)
pip install pytest pytest-timeout
pytest tests/ -v
# 4. Run a specific proof file
python papers/proof_d7_phi_fixed_point.py
python papers/proof_c20_phi_fixed_parity.py
python papers/ck_tables.py # verifies canonical table values
# 5. Visualization (requires matplotlib + numpy)
pip install matplotlib numpy
python ck_sinc_demo.pyEvery claim in this repository carries one of four labels:
| Label | Meaning |
|---|---|
| PROVED (Tier D) | Proved for ALL cases; mechanism known; no domain restriction |
| CLOSED-WORLD (Tier C) | Proved within an explicitly stated domain |
| BOUNDED (Tier B) | Verified computationally in a restricted class; no general proof |
| ANALOGY (Tier A) | Pattern observed, or structural analogy drawn; no proof |
See papers/SYNTHESIS_TABLE.md for the full inventory.
Current tier counts: D:27 | C:6 | B:8 | A:5
This is not a software project — it is a research artifact. Contributions should be:
-
Mathematical scrutiny — Attempting to break, sharpen, or falsify existing claims. The most valuable thing you can do is find a counterexample or a tighter bound.
-
Independent verification — Running the proof scripts and reporting results on different hardware or Python versions.
-
Extension of proved results — Building on D-tier or C-tier results to promote B-tier or A-tier claims. See the "upgrade paths" column in SYNTHESIS_TABLE.md.
-
Error reports — If a proof file fails on your machine, open an issue with the full output and your Python version.
papers/
proof_d*.py — Tier D: general theorems (exhaustive / algebraic proof)
proof_c*.py — Tier C: closed-world theorems (proved in domain)
proof_b*.py — Tier B: bounded conjectures (computational verification)
proof_a*.py — Tier A: assessment of analogy claims
ck_tables.py — Canonical TSML, BHML, DIS, DOING, G tables (import this)
test_*.py — Older test scripts (kept for historical reference)
tests/
test_d*.py — pytest-compatible tests for D-tier theorems
test_c*.py — pytest-compatible tests for C-tier structures
test_t_star.py — T*=5/7 derivation tests
All proof files are self-contained and print their own results. Run directly with Python.
Tests in tests/ are for CI and structured verification.
Always import from papers/ck_tables.py rather than hardcoding table values:
from ck_tables import TSML, BHML, DIS, DOING, G, CL, W, T_STARVerified values:
- TSML: 73 harmony cells, symmetric, all C9 structure rules
- BHML: 28 harmony cells, symmetric, Rules A/B/C from C9
- W = 3/50 (from C8: CROSS_CYCLE=44, deviation=6, W=|44-50|/100)
- T* = 5/7 (from b=35 unit_frac formula; also = CREATE/HARMONY)
| Constant | Value | Source |
|---|---|---|
| T* | 5/7 ≈ 0.7143 | TSML 73-cell geometry, FPGA calibration |
| W | 3/50 = 0.06 | BHML cross-cycle derivation (C8) |
| 4/π² | ≈ 0.4053 | sinc²(1/2), Montgomery bridge constant |
| sinc²(0.1) | ≈ 0.9675 | Scale-free pre-echo floor |
| CREATE | 5 | Dynamic attractor of Phi (D7) |
| HARMONY | 7 | Measurement attractor of TSML |
Open a GitHub issue with:
- Python version (
python --version) - Full error output
- Which proof file failed
- Any modifications you made