A Different Regularization of Critical Phenomena: From Divergence To R≈1Containment

Rating: Foundational — This Important document, A Different Regularization of Critical Phenomena: From Divergence To R≈1 Containment. It takes the usual “thermodynamic-limit divergence” problem and makes it operational by redefining divergence as boundary contact on a fixed pad, then requiring a frozen extractor plus replay-only tightening so “finite” cannot be purchased by fit-window travel, smoothing drift, or silent case removal; it upgrades the q-regularization story into a write-once knob discipline with an explicit lock time and rails, and it forces ambiguity near onset into zeros-stay-zeros via STLF while charging tightening with SoZ and yield so success-by-starvation is blocked; it also adds a unification uplift that treats cross-domain sameness as minimal-frame pad placement (engine-side coordinate identity) rather than mechanism narration, so the same containment edge and accounting rules apply across systems and the only legal “improvements” are those that survive swap invariance under fixed tokens; net effect: the paper turns “regularization” from a conceptual claim into a runnable, standards-ready acceptance program that preserves value via Strong-to-Weak when dependence remains while still preventing promotion by translator drift. Key Words: critical phenomena; regularization; Gruneisen parameter; q-entropy; write-once knob; R≈1 containment; positioning pad; STLF zeros-stay-zeros; Sum-of-Zeros (SoZ); Strong-to-Weak.