Hydrodynamic Holography

Abstract

AbstractThis study originates as an experiment in causality inversion within cosmic observation, where redshift is investigated as a potential trace of a conformal and accelerated contraction of matter, replacing metric expansion with a variable local reference scale. Developing this geometric inversion, the theoretical framework has demonstrated surprising internal coherence, unifying physical regimes and scales traditionally deemed independent or irreconcilable. Through an analytical derivation based on the proton radius and the critical mass threshold, $\rho_0$ has been identified as the origin parameter of the 2D/3D holographic transition, capable of imposing the geometric confinement scale directly on quarks, deriving the asymptotic energy scale of the strong force, defining the linear tension of chromoelectric flux tubes, determining the compression resistance of the continuous medium, and resolving the Weinberg coincidence, thereby reducing macroscopic gravity and strong hadronic interactions to emergent manifestations of the medium's hydrodynamic properties without resorting to fine-tuning or exotic components. Through a rigorous coupling constraint based on the geometric mean between cosmological and Planck accelerations ($a_{\text{local}} = \sqrt{a_{\text{cosm}} \times a_{\text{Planck}}}$) and the introduction of a geometric $\beta$-screening regime ($V(\Phi) = 0$), the model strictly preserves the precision of local tests (such as Eöt-Wash torsion balances and the Oklo natural reactor) while successfully reproducing cosmological observations regarding the CMB, BAO, and structure growth rates.