Universal Integrity Principle - PIU

The Universal Integrity Principle (PIU V30. 7): Can a Single Scalar Substrate Resolve the Open Problems of Contemporary Physics? What if gravity, quantum mechanics, dark matter, dark energy and the absence of singularities were not five independent problems — but five aspects of one structure? PIU V30. 7 explores this possibility rigorously: a scalar substrate (the Pleno) governed by six axioms, from which all of standard physics emerges as effective limit, never as input. Eight structural closures derive what was previously postulated: Newton's G and Planck's ℏ as change-of-basis identities of (ρP, ℓP, c) ; the Schrödinger equation with exact coefficients; the Bohm hydrodynamic term from Klauder affine quantization; Sₘin derived from a single parameter E₀ via Coleman-Weinberg dimensional transmutation; the Structural Identity Theorem γG = 1 closing the gravitational sector by ontological necessity; the saturated Pleno core eliminating GR singularities (Rc ≈ 2. 53×10⁻²³ m for solar mass) ; the cascade M→MO→EO with derived freeze-out temperature Tf = 12. 88 MeV and dark matter halo mass mₕalo ≈ 8. 46×10⁻²⁴ eV/c² — falling within the Fuzzy DM window without prior model choice. Five distinctive falsifiable predictions confront PIU with experiments either ongoing or imminent: a Landau pole at μ* ≈ 23 TeV (FCC-hh) ; γ-ray energy dispersion Δt ~ 10⁻²¹ s at GRB z = 1 (Fermi-LAT, testable now) ; phantom equation of state wₐ ~ −0. 08 (DESI Y5/Euclid) ; sub-kpc power spectrum suppression (LSST/Euclid/Roman) ; gravitational wave attenuation in mHz band (LISA ~2034). The simultaneous falsification of any three would refute the framework. Twenty open problems are declared explicitly — not concealed: the primordial spectrum nS, the derivation of E₀ from axioms, the non-abelian gauge structure, the hadronic Pleno modes under strict Axiom 1, and the quantitative form of the LISA attenuation, among others. Each is statable, addressable, and separately falsifiable. PIU is offered as an open research program. Its derivations are auditable; its predictions are concrete; its frontiers are explicit. Theoretical physicists, cosmologists, particle physicists, experimentalists and philosophers of science are invited to scrutinize it. The author requests not credit, but rigor.