Operators — Emergentism

Twenty-nine mathematical operator derivations mapping the Emergentism framework to established scientific domains.

Evidence tiers: current public ladder [A/B/S/I/D/C]. Legacy operator-source theoretical markers are rendered as [S] structural per the Honest Position compatibility note; legacy established markers are rendered as [A] when they point to established mathematics or third-party science.

MF Advanced (MF-281 through MF-301)

Physical and mathematical operator decompositions.

• MF-281: The Replicator Decomposition · [S] — P_node = min(Φ̂₄, V₄) as product of two replicator stacks.
• MF-282: The Operator Stack Correspondence · [S] — Mapping between operator stacks and framework primitives.
• MF-284: The Gods Are F5 · [I] — Deity concepts as F5 force projections.
• MF-286: The Mu Limit Crossing · [S] — Formal analysis of μ-limit boundary crossing.
• MF-287: Wigner's Puzzle Dissolved · [S] — Wigner's friend paradox through the framework lens.
• MF-288: Money Is the Born Rule · [I] — Economic value as Born-rule probability measure.
• MF-289: The Hard Problem Is i · [I] — Experience hard problem as imaginary-axis analogy.
• MF-290: The Ektropic Radius v2 · [S] — Ektropy as ethical-radius proxy; D4 causal limits stay distinct from D5 option-cone modeling.
• MF-291: The Landauer Horn · [S] — Landauer limit as horn topology constraint.
• MF-292: The Bekenstein Ceiling · [S] — Bekenstein bound as framework ceiling.
• MF-293: Language Is Bandwidth · [I] — Linguistic communication as information bandwidth.
• MF-294: Egregores Are Horn Networks · [I] — Collective entities as horn-topology networks.
• MF-295: c Bounds the Moral Circle · [I] — Light-speed limit as the information horizon of moral accounting.
• MF-297: Alpha as Coupling · [I/C] — Fine-structure constant as a framework coupling handle, not a derivation.
• MF-299: Hawking Radiation Is A7 · [S] — Hawking radiation as A7 operator output.
• MF-300: Cancer as Cellular Raktabija · [I/C] — Cancer as a structural analogy bounded by oncology evidence.
• MF-301: Photosynthesis Is the Original F5 · [I] — Photosynthesis as primordial F5 force expression.

Sphere Derivations (MF-63 through MF-70)

Geometric derivations on the sphere.

• MF-63: Möbius Operators · [S] — Möbius transformations as framework operators.
• MF-64: Berry Phase · [S] — Berry phase on the framework sphere.
• MF-66: Mandelbrot Dynamics · [C] — Awareness modeled through Mandelbrot-like iteration.
• MF-67: Double Cover Privacy · [S] — Privacy modeled through double-cover topology.
• MF-68: Area Measure · [S] — Area measure on the framework sphere.
• MF-69: Horned Torus Relativity [SUPERSEDED] · [S] — Relativistic effects on horned torus geometry.
• MF-70: Kali Closes Sphere · [I] — The Kali operator as spherical closure.

Rendered from canonical sources under 01_EMERGENTISM/08_FRAMEWORK_SUPPORT/02_OPERATORS/ — evidence tier preserved, internal scaffolding stripped.