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Author SHA1 Message Date
Brandon Schneider
eff316ff3f wip: refined investigation script for Erdős–Gyárfás conjecture
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
7e3858d88d ingest: Hypercube → Hyper-Rhomboid composition theory
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