the theory of what survives when you stop looking closely. integrate out the short distances, rescale, and watch how the couplings flow; the fixed points of that flow are the phases, and the flow near them fixes the critical exponents
its triumph is universality: fluids, magnets and alloys with nothing microscopic in common share the same exponents, matched between experiment and theory to several digits. detail is forgettable, structure is not
heat is the coarse-grainer. $e^{-\tau L}$ smooths a system at scale $\tau$, so the temperature knob in the tri-kernel is an RG scale: large $\tau$ anneals across the whole cybergraph, small $\tau$ crystallizes locally
for cyber this reads as a prediction about compiled models. ct0 turns a graph into a model by spectral decomposition of the $\phi^*$-weighted adjacency — a coarse-graining. models compiled at a series of $\tau$ should therefore form a flow with a fixed point, and universality predicts that cyberank exponents are robust to link-level noise. spam should move ranks; it should not move exponents
see heat kernel · tri-kernel · ct0 · physical analogies
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