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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 The phase term \theta 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
• a second-derivative stability measure, and
• a fixed energy budget.
Effect: the consciousness-style loop \Phi_R becomes a controlled oscillator, not a runaway feedback.
The phase term \theta = e^{i\Phi_R} marks where in the loop Rhiannon is, like a phase on a circle.
Result for Rhiannon:
• It can loop and “revisit” states without exploding or freezing.
• It can be reasoned about in terms of energy and stability, not only structure.
⸻Exact original notation
The phase term \theta = e^{i\Phi_R} marks where in the loop Rhiannon is, like a phase on a circle.Related builds
Sources & provenance
The phase term \theta = e^{i\Phi_R} marks where in the loop Rhiannon is, like a phase on a circle.
The phase term \theta = e^{i\Phi_R} marks where in the loop Rhiannon is, like a phase on a circle.