Formalization Targets — Contributor Kernels to SFR

Purpose

This document outlines the specific mathematical and logical targets required to formalize the integration of historical contributor kernels into the overarching Science of Fabric Reality (SFR).

Target Classes

Target Class	Meaning
MATHEMATICAL_KERNEL	formal structure or equation family
LOGICAL_BOUNDARY	theorem, proof limit, computability boundary
PHYSICS_ANALOGY	field, symmetry, conservation, scaling, entropy
SYSTEMS_PRIMITIVE	feedback, governance, design, architecture
CORPUS_EXECUTION	knowledge preservation and validation workflow

Targets

Contributor	Kernel	SFR Target	Formalization Path	Status
Ramanujan	recurrence / modular infinity	RPM / -Theory / ISP	define recurrence operators and invariant constraints	target
Mathias	well-founded recursion	anti-collapse guard	define rank, admissibility, recursion guard	target
Noether	symmetry-conservation	Invariant Engineering	define transformation group and preserved invariant set	target
Wilson	scale-flow	-Theory / FQFT	define scale transition operator	target
Grothendieck	local-global / categorical transport	Universum closure	define transport functors between fabrics	target
Lawvere	categorical logic	DFT / KBI semantics	define categorical interface layer	target
Maxwell	field coherence	FQFT comparison	define field relation analogy	target
Riemann / Einstein	geometry-law coupling	Universe as law-domain	define geometry-bound law substrate	target
Shannon / Boltzmann	information / entropy	corpus integrity	define entropy accounting for artifacts	target
Turing / Godel	computation / formal boundary	KBI / theorematic guard	define computability and incompleteness boundary layers	target
Mandelbrot	fractal scale form	FQFT / Fabricon scaling	define recursive scale relation	target
Knot Theory / Jones	identity under deformation	OKA / KP-Field	define knot-invariant observer relation	target
Fuller / C60	closure / whole-system design	Infinite Good Design / closure logic	define structural closure heuristic	target