Read the equation
Places the real loop phase on the unit circle using a complex exponential. The magnitude is one, and the complex angle tracks the phase modulo 2π. This is a representation of a phase, not an independent measure of consciousness.
Terms & definitions
The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.
How it works
Read θ as the quantity being defined or updated by this relation.
Applies an exponential factor. The exponent determines its real scaling or, for a complex exponent, its phase.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.
Original context
Read the surrounding source passage
Core Loop & Coherence:
Φ_R (consciousness-style loop)
dx (coherence gradient)
θ = e^{iΦ_R} (loop phase)
σ (stability curvature)
E_tot (loop energy budget)
Structural Substrate:
DNA_G16 (mapping)
G_5000 (gate substrate)
K(g→g’) (transition kernel)Exact original notation
θ = e^{iΦ_R} (loop phase)Related builds
Sources & provenance
θ = e^{iΦ_R} (loop phase)