Complexity Theory's Geometric Void: No Constants from P vs. NP Barriers — E8 Intelligence Research

FINDING: Computational complexity barriers (P vs. NP, lower bounds) define fundamental limits on efficient problem-solving, with no known geometric constants or ratios emerging from the core theory. | MATH: P ⊆ NP ⊆ PSPACE; O-notation for asymptotic growth; lower bounds via diagonalization, circuit complexity, and geometric complexity theory (GCT) use representation theory and algebraic geometry. No specific equations or constants (e.g., 0.382, 0.618, 1.618) appear in these results. | CONNECTION: GCT employs symmetries of algebraic varieties and representation theory of Lie groups (e.g., GL(n)), which relate to root systems and lattice structures, but no direct link to golden ratio or base-60 is established. | DEPTH: 6 — foundational to computer science and mathematics, but lacks direct geometric harmony constants; the connection to symmetry is structural rather than numeric. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com