Brandon Schneider
eff316ff3f
wip: refined investigation script for Erdős–Gyárfás conjecture
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Created refined investigation script for Erdős–Gyárfás conjecture
where previous test found no power-of-two cycles (conjecture holds: False).
Refinements:
- Regular graph construction (all vertices same degree)
- Exhaustive DFS cycle detection
- More samples per n (5 instead of 3)
- Extended n values [8, 10, 12, 14, 16]
Goal: Determine if previous negative result was due to random graph construction
or if regular graphs with exhaustive cycle detection find power-of-two cycles.
Script created: investigate_erdos_gyarfas_refined.py
Execution canceled by user - awaiting further instructions.
2026-05-08 14:50:03 -05:00
Brandon Schneider
a83dd8fba6
docs: Update wiki with session 2026-05-07 master compression architecture synthesis
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Session summary:
1. Ingested Hippocampus Tabula Plena Combined Approach (Live Science 2024)
- Hippocampus starts tabula plena (full slate) and prunes to sparse structured
- Compression analogue: maximum math density = full slate, pruning = pipeline
- 13 keeper phrases
2. Synthesized Master Synthesis (Complete Compression Architecture)
- Combined 12 theoretical foundations into unified architecture
- 14 encoding stages, 19 decode stages
- Archive format MCA1 with 17 sections
- Estimated 18-28% reduction vs current Hutter best
- 18 keeper phrases
3. Evolved erans to Field Effect Spectrum
- Extended erans to spectral decomposition of residual field
- Spectral energy compaction: 90% energy in 10% coefficients = 10-20% gain
- Updated estimated gain: 20-35% reduction
- 6 spectral keeper phrases
4. Ran 12 Core Equations Analysis
- 109/120 equation-theory matches (90.8% coverage)
- 7 equations with full coverage, 5 with partial coverage
- Theories highly interconnected
- Analysis saved to core_equations_analysis.json
5. Compactified Core Equations (12 → 4 primitives, 67% reduction)
- 4 primitives: field, shear, packet, spectral
- Topological compactification: 10 theories = projections of 4D manifold
- 67% reduction with 90.8% coverage maintained
- 12 keeper phrases
Database: 13 research entries, 47 documents total.
5 commits this session.
2026-05-08 14:50:02 -05:00
Brandon Schneider
7e3858d88d
ingest: Hypercube → Hyper-Rhomboid composition theory
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Orthogonal tensor (hypercube) assumes independent axes.
Shear into parallelotope (hyper-rhomboid) models entangled dimensions.
The shear angle encodes correlation strength; the Gram matrix
of the shear IS the compression dictionary.
6 stack mappings:
- PIST n-D: Cartesian → Bundle → Radial = hypercube → rhomboid → collapsed
- Topological state machine: transition = shear on state tensor
- N-D Gene Hypothesis: gene = n-D rhomboid, 3D structure = projection shadow
- FAMM: preshaped delay = sheared time-domain rhomboid
- OAC: latent cavity in sheared rhomboid space
- Waveprobe: curvature = local shear angle of coordinate basis
3 compression interpretations + information gravity metric tensor
2026-05-07 02:04:03 -05:00
Brandon Schneider
bc940273b8
wiki: add Q-Fox primary development machine specifications
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AMD Ryzen 5 9600X (6C/12T, AVX-512), 31GiB DDR5, 1.8TB NVMe,
Radeon iGPU, CachyOS 7.0.3. Mapped 8 capabilities to stack use.
2026-05-07 00:54:47 -05:00
Brandon Schneider
cfcdd5e7e7
ingest: Observer-Admissible Cavities theory — radius-ratio → Pidgen-hole → S3C/Spherion → OAC
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6 key concepts formalized:
- Radius-ratio rule → admissible motif classifier (CN3-8 thresholds)
- Pidgen-hole theory → typed hole + residual codec
- S3C shell coordinates → n=k²+a with throat/mirror/mass
- Spherion shaping → pyramid protrusions/voids as compression teeth
- S_n(n^n) → Matryoshka shell with latent combinatorial interior
- Observer-Admissible Cavities → touch-manifesting lazy holes
7 cross-references to existing modules, 4 new primitives identified.
7 keeper phrases preserved.
2026-05-07 00:47:10 -05:00
Brandon Schneider
5ad2e7f8bb
ingest: dair-ai Agentic Engineering Wiki (51 tips, 7 categories)
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Cross-referenced against our prover orchestration layers:
- Plan-Execute-Verify-Replan ↔ L0-L3 pipeline
- Agents as specialists ↔ 11-agent swarm
- Guardrails ↔ ProverWatchdog
- Sandbox testing ↔ Virtual FPGA tests
- Trajectory-aware eval ↔ BFS audit trail
5 gaps identified, 4 strengths confirmed
2026-05-07 00:27:02 -05:00
Brandon Schneider
af97d84573
ingest: MS myelin glucose signaling article (2026-05-04)
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Brain glucose levels regulate OPC fate: high glucose → proliferation,
low glucose → maturation. Acetyl-CoA from glucose drives histone
acetylation for OPC division; ketone bodies substitute for myelin
synthesis. Ketogenic diet rescues myelin in ACLY-deficient mice.
Connects to: N-Dimensional Gene Hypothesis, PIST polymorphic shifter,
topological state machine, FAMM delay lines, waveprobe manifolds
2026-05-06 23:53:20 -05:00
Brandon Schneider
0cf775c80e
collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution
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- Prover-Integrated Orchestration Layers (L0-L3): Goedel-Prover-V2 watchdog, BFS-Prover-V2 swarm consensus, bf4prover topology adaptation
- FAMM Verilator benchmark: uniform vs preshaped delay comparison (4.4x speedup)
- Swarm topological device prober: 11 agents probing traces, caps, delays, errors, vias, PDN
- Spec sheet puller: 10 components with key params and topological relevance
- Virtual FPGA system tests: 6/6 passed, 134K ops/s throughput
- Fixed merge conflicts in AI-Newton test_experiment.ipynb
2026-05-06 23:42:01 -05:00