We present Spectrography, a framework detecting logical contradictions via geometric analysis on S^23. Geometric tension tau measures semantic structure (p=0.
We present Spectrography, a framework establishing geometric invariants on S^23. Two core findings: (1) geometric tension tau measures semantic structure, not truth value (p=0.
We present Spectrography, a framework detecting logical contradictions in AI reasoning via geometric analysis on S^23. Geometric tension tau = ||z_i - z_i+1||_2 measures semantic distance.
We present Spectrography, a metrological framework establishing geometric invariants of the 24-dimensional unit hypersphere S^23 across 28 experimental sessions. Post-publication tests clarify that r = 24 is an architectural constraint (not an emergent Leech lattice property), and Δτ does not generalise without recalibration (0/3 unseen domains reach d > 1.