Universal Integrity Principle (PIU) A quantum scalar framework for cosmology

The Universal Integrity Principle (PIU) proposes a unified theoretical framework in which gravity, quantum mechanics, dark matter and dark energy emerge from a single physical substrate — the *Pleno* — characterized by three material properties: a density ρPρ_P ρP, a minimum scale λPλ_P λP, and a propagation velocity cc c. Six foundational axioms govern its dynamics, from which all observable physics is derived as effective limits of a single Lagrangian. The framework yields four quantitative results without free parameters: Newton's gravitational constant GG G and Planck's constant ℏ ℏ as exact change-of-basis identities consistent with measured values to better than 0.1%; a unified description of dark matter and dark energy through a single parameter Smin⁡Sₘᵢₙ Smin; and a structural resolution of the Higgs hierarchy problem via a dissipative term that converts quadratic UV divergences into logarithmic ones, without supersymmetry, compositeness, or extra dimensions. PIU statistically matches ΛΛ ΛCDM with the same effective degrees of freedom, but offers three falsifiable predictions that ΛΛ ΛCDM cannot make: a frequency-dependent attenuation of gravitational waves observable by LISA (~2034); a measurable energy dispersion of γγ γ-ray photons in GRBs detectable by Fermi-LAT; and a Landau pole at μ∗≈23μ^* ≈ 23 μ∗≈23 TeV potentially reachable by the FCC. Each prediction is accompanied by a quantitative falsification criterion. Every result is explicitly classified by epistemic status — derived, strong logical deduction, calibrated, hypothesis, or change-of-basis identity — and twenty open problems (O-1 through O-20) are formally stated as the framework's declared frontiers. PIU is presented not as a finished theory but as an open research program with verified results, reproducible derivations, and explicit limits.