From Phenomenology to First Principles: Deriving the MVC Threshold and Superradiant Gain from the QCD Path Integral via Data-Driven Belle II Fermionic Reconstruction

This release advances the MVC (Multiverse Vortex Coupling) program by tightening the empirical-to-theoretical dictionary that connects collider observables to first-principles QCD path-integral quantities.

We formulate a six-phase bridge in which the MVC critical density (rho_c^MVC) and the superradiant gain (gamma_SR) are positioned as QCD path-integral observables, with explicit links to lattice thermodynamics, Polyakov-loop confinement physics, and topological susceptibility.

A key methodological upgrade in this version is the integration of a reviewer-oriented, data-driven reformulation of the Belle II fermionic bulk-boundary algorithm: the former kinematic ansatz for the effective bulk parameter (kappa_eff) is replaced by an observational definition (kappa_eff = alpha_kappa * r_eff), where the effective squeezing (r_eff) is directly reconstructed from the measured spin density matrix.

We further justify experimental noise stability by exploiting a structural property of fermionic Gaussian states: Majorana covariance matrices satisfy an admissibility bound (Gamma^2 <= I), implying a compact eigenvalue spectrum that controls perturbative error propagation into entanglement estimators (such as logarithmic negativity).

This stability is essential for interpreting sharp threshold behavior (including non-Hermitian exceptional-point signatures and associated gain behavior) as physical rather than algorithmic artifacts, thereby sharpening the falsifiability of the model.

The accompanying pipeline remains modular and testable end-to-end, spanning high-statistics data reduction, Bayesian anchoring, tensor-network (MPS) dynamics, and quantum-hardware-facing validation under an explicit input-quality contract.