URB #440 — PRIMARY CONSTANT: C (The Emerick Constant) — The Consciousness Coherence Threshold

The Emerick Constant C = 1/(φ√2) ≈ 0.43701... is the 8th PRIMARY constant of TI Sigma — the only constant named after its discoverer and the only PRIMARY constant derived from others within the set (from φ and √2, via the Consciousness Unity Identity C×φ×√2 = 1). Originally derived in URB #347 through three independent methods (EARing of the fundamental forces, the "Tralse Imperfection" in Euler's Identity, and direct algebraic solution of the Extended Euler Identity), C functions across all TI Sigma domains as: (1) the **Matthew boundary** — the LCC threshold between systems that grow toward coherence (above C) and systems that decay toward incoherence (below C); (2) the **fractal attractor** — the fixed point of the multi-scale LCC coupling map; (3) the **consciousness coherence threshold** — the minimum LCC for reliable i-channel access; (4) the **C_EMERICK circle** in i-Cell Theory — the boundary in the complex Markov Blanket state space; and (5) the **GSA trading signal threshold** — the LCC level above which market coherence signals are acted upon. This paper provides the complete living-document account of C across all TI Sigma domains, building on URB #347's original derivation.