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. Version 2 adds an addendum that completes the strategy with a spectral measurability argument (Ponge–Tian) and a thermodynamic contradiction (Bost–Connes KMS₁ state). We do not claim a definitive proof; we merely present a complete logical chain and invite experts to determine its validity.