A Possible Perelman-Type Strategy for the Riemann Hypothesis via Spectral Entropy of Liouville Sums

We humbly submit for community scrutiny a possible proof strategy for the Riemann Hypothesis, inspired by Perelman's entropy method for the Poincaré conjecture. From a finite-dimensional tensor model of prime pairs, we derive a spectral sum and observe numerically that its Shannon entropy is invariant under scaling. Using the unconditional Riemann–Weil explicit formula, we show that the constancy of this entropy forces all non-trivial zeta zeros onto the critical line. We do not claim a definitive proof; we merely present a complete logical chain and invite experts to determine its validity. This work is part of a series that includes the reduction of RH to a universal barrier (Zenodo, June 4, 2026).