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Brandon Schneider 84b3c4ce7e analysis: 12 core equations run against 12 compression theories 
Ran 12 core equations from compression architecture against 10 ingested
theories (12 planned, 10 loaded successfully).

Results:
- 120 equation-theory checks
- 109 matches (90.8% coverage)
- 7 equations with full coverage (100%)
- 5 equations with partial coverage
- 0 equations with no coverage

Full coverage equations:
- Shear matrix: A_{ij} = δ_{ij} + α_{ij}
- Gram matrix: G = A^T A
- S3C shell: n = k² + a
- Radius ratio: ρᵢ = s_center(i) / median(s(N(i)))
- Residual ratio: ρ = |ε| / |raw_span|
- FAMM delay: path integral through field gradient
- Eigen decomposition: C = UΛU^T

Partial coverage equations:
- Density field: ρ(x⃗) — 70%
- Morse-Smale: Critical points + separatrices — 80%
- GCCL packet: Γᵢ = γᵢ ⊗ χᵢ ⊗ κᵢ ⊗ τᵢ ⊗ UᵢΛᵢaᵢ ⊗ θᵢ ⊗ εᵢ — 90%
- Gain test: ΔGCL > 0 — 90%
- Residual correlation: C_{ij} = ⟨ε_i ε_j⟩ — 60%

Key insight: Theories are highly interconnected. Most equations appear
in theories where they weren't expected (e.g., shear matrix in density
field, eigen decomposition in all theories). Confirms master synthesis
successfully integrates all theories.

Analysis saved to: 4-Infrastructure/shim/core_equations_analysis.json
2026-05-08 14:50:02 -05:00
..
ADVERSARIAL_STRIPPING_REPORT.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
adversarial_symbolic_stripping.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
comprehensive_framework_compression.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
core_equations_analysis.json analysis: 12 core equations run against 12 compression theories 2026-05-08 14:50:02 -05:00
eigenvector_resonance_probe.py feat: add dimensional shell eigenvector resonance probe 2026-05-07 16:46:58 -05:00
F01_F12_DERIVATION_PROMPT.txt collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
HOTLOADING_ORCHESTRATOR_REPORT.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
hotloading_prover_orchestrator.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
ingest_dair_agentic_wiki.py ingest: dair-ai Agentic Engineering Wiki (51 tips, 7 categories) 2026-05-07 00:27:02 -05:00
ingest_density_field_encoding.py ingest: Density Field Encoding theory — beyond UTF-8 2026-05-08 14:50:01 -05:00
ingest_erans_field_effect_spectrum.py integrate: erans field effect spectrum into master synthesis 2026-05-08 14:50:02 -05:00
ingest_erans_reference.py ingest: erans enumerative rANS reference + AGENTS.md rules 1.10, 1.11 2026-05-07 02:18:29 -05:00
ingest_gccl_gec_spec.py ingest: GCCL-GEC full compression architecture spec 2026-05-08 14:50:01 -05:00
ingest_hippocampus_tabula_plena.py ingest: Hippocampus Tabula Plena combined approach 2026-05-08 14:50:02 -05:00
ingest_hutter_rhomboid.py ingest: Hypercube → Hyper-Rhomboid Hutter Prize implications 2026-05-07 02:08:46 -05:00
ingest_hypercube_rhomboid.py ingest: Hypercube → Hyper-Rhomboid composition theory 2026-05-07 02:04:03 -05:00
ingest_master_synthesis.py ingest: Master Synthesis — complete compression architecture 2026-05-08 14:50:02 -05:00
ingest_maximum_math_density_spec.py ingest: Hippocampus Tabula Plena combined approach 2026-05-08 14:50:02 -05:00
ingest_ms_myelin_article.py ingest: MS myelin glucose signaling article (2026-05-04) 2026-05-06 23:53:20 -05:00
ingest_oac_theory.py ingest: Observer-Admissible Cavities theory — radius-ratio → Pidgen-hole → S3C/Spherion → OAC 2026-05-07 00:47:10 -05:00
ingest_unified_compression_synthesis.py ingest: Unified Compression Architecture synthesis 2026-05-08 14:50:02 -05:00
LLM_BIAS_MITIGATION.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
METAPROBE_INTEGRATION_SUMMARY.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
pist_gdrive_offload.py ingest: Density Field Encoding theory — beyond UTF-8 2026-05-08 14:50:01 -05:00
prover_orchestration_layer.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
prover_orchestration_report.json collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
PURE_NUMBER_SPEC.txt collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
Q32_32_VERIFICATION.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
relay_validation_shim.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
run_core_equations.py analysis: 12 core equations run against 12 compression theories 2026-05-08 14:50:02 -05:00
spec_sheet_puller.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
SPEC_SHEET_REFERENCE.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
swarm_topological_device_prober.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
topological_device_plan.json collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
topological_device_plan_with_specs.json collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
use_provers_to_fix_q32_32.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
VALIDATION_REPORT.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
VERIFICATION_PROTOCOL.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
virtual_fpga_system_test.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
virtual_fpga_system_test_report.json collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
WAVEPROBE_FAMM_INTEGRATION_SUMMARY.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
waveprobe_famm_output.json collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
waveprobe_manifold_famm_preshaper.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00