Universal Inverse Inflation: An Effective Inverse-Rescaling Model for Black-Hole Interior Cosmology

We study a cosmological correspondence principle of inverse rescaling and formulate an effective model compatible, at the level of dimensionless observables, with hot Big-Bang and $\Lambda$CDM phenomenology. Within this setting we introduce \emph{Universal Inverse Inflation} (UII), a local inverse-rescaling mechanism in which sufficiently high mass--energy densities activate a dilatonic scalar sector. In the present treatment the mechanism is implemented through matter-ruler shrinkage, following Wetterich's shrinking-universe dynamics: particle mass scales may grow while atomic and material length scales shrink, leaving internal observers with the dimensionless phenomenology of an expanding FLRW cosmology. This provides a common effective language for conventional inflation, black-hole interior dynamics, and cosmological expansion, while leaving the exterior Kerr/Schwarzschild geometry unchanged for outside observers. Using the time-reversed relation between black-hole and white-hole solution patches, we model the interior transition as an expanding white-hole-like region joined to a past-oriented collapsing region by an effective $\mathsf{CPT}$-conjugating junction. From the exterior, the black-hole geometry projects forward in time and may be described holographically as encoding infalling data on a $(2\mathrm{D}{+}t)$ boundary description, while internally the child region evolves as an expanding FLRW-like patch. In the thin-shell model developed here, the $\mathsf T$ component is geometrically motivated by reversal of the relevant null congruences, the $\mathsf C$ component by continuity of matter currents and stress--energy flow, and the $\mathsf P$ component is treated as part of the effective zero-thickness description. A fuller finite-thickness treatment, in which a $\mathsf{CT}$ transition is followed by high-energy annealing and parity/chirality ordering, is left for future presentation. The framework provides a compact effective description in which black-hole collapse, white-hole expansion, and cosmological initial data are treated as observer-relative descriptions of a single inverse-rescaling process. It suggests possible routes for black-hole information bookkeeping, matter--antimatter asymmetry compatible with ordinary baryogenesis mechanisms, and observer-relative entropy evolution without imposing a separate Past Hypothesis. It also offers a finite-curvature scalar--tensor setting in which classical singular behavior is replaced by regular high-density dynamics while internal observers recover dimensionless observables consistent with $\Lambda$CDM. As a preliminary outlook outside the core derivations, we sketch how supersymmetric or other high-energy potentials may enter the inverse-rescaling mechanism, motivating a speculative \emph{SUSY ladder} of indexed families whose mass-hierarchy factors control activation thresholds.