Quantized Vacuum Attenuation: Resolving the Hubble Tension via Third-Order Nonlinear Susceptibility in a Discrete Manifold

Abstract The persistent Hubble Tension, the JWST maturity anomalies, and the failure of four decades of dark matter detection constitute a convergent crisis in the ΛCDM concordance model. We present the Quantized Vacuum Attenuation (QVA) framework, derived strictly from five information-theoretic axioms: a discrete logical registry of Planck-scale voxels, a fixed information-transfer budget c² = v² + vt², the Shannon-Nyquist sampling limit on holographic screens, the Landauer principle of irreversible computation, and vacuum third-order nonlinear susceptibility Im[χ⁽³⁾]. From these axioms we derive the Universal Loss Coefficient α ≈ 8.240 × 10⁻²⁷ m⁻¹ — including a first-principles derivation of the dimensionless prefactor N = 519.29 from polarization degeneracy, thermal mode multiplicity M = 2ζ(3), and minimal cubic lattice structure — and reinterpret cosmological redshift as non-scattering parametric energy loss through the discrete vacuum medium rather than metric expansion. The framework simultaneously resolves the Hubble Tension by deriving H₀ = αc from Planck-scale constants, explains JWST observations of chemically mature galaxies at z > 10 and compact Little Red Dot morphologies through Euclidean geometry, eliminates the dark sector by reinterpreting dark energy as Shannon capacity saturation and dark matter as vacuum viscosity from the Optical Kerr effect, derives a finite ultraviolet-complete graviton propagator, and produces the novel scaling prediction ρL ∝ T⁶ connecting global luminosity density to CMB temperature through Planck-scale constants alone. A unique expression is derived connecting the Hubble constant directly to the Planck length, the CMB temperature, and Boltzmann's constant: H₀ = N · ln2 · (k_B² T² l_P) / (ℏc)² · c No equivalent expression exists in General Relativity, the Standard Model, string theory, or Loop Quantum Gravity. The Tolman surface brightness test predicts (1+z)⁻² dimming, distinguishable from both ΛCDM and classical tired light models, providing an immediate observational test. Open problems including the CMB odd/even peak-height ratios, the BAO scale mechanism, structure formation, and nucleosynthesis in a static manifold are identified as priorities for future work.