From Quantum to Cosmos: The Hawking Information Paradox Solved (3+1D, No Islands, Only ${\hbar,c,G,k_B}$)

\[\Box \phi + \gamma \partial^\mu \phi + \alpha \phi^3 + \beta \phi^5 = qE_{\text{Res}} + \lambda \langle \hat{Q} \rangle + \eta \epsilon^{\mu\nu\rho\sigma} \partial_\mu \phi \partial_\nu \phi \partial_\rho \phi \partial_\sigma \phi + \xi \zeta(x^\mu) + \kappa \partial_t \phi + \delta \phi E^2\] \begin{equation} G_{\beta\nu} + \beta \langle \phi^2 \rangle g_{\beta\nu} = 8\pi G (T_{\text{std}} + T_\phi)\end{equation} \begin{equation} \Box \phi = -\beta \phi - \beta \partial_t \phi + \beta \nabla^2 \phi + \beta \zeta R \phi\end{equation} This deposit contains the minimal, covariant framework that resolves the Hawking Information Paradox without invoking islands, exotic sectors, or modifications of Einstein’s equation.The approach is based on Planck-covariant smearing of the renormalized stress-energy tensor over the invariant two-measure σP = ℓP · tP = ħ G / c⁴. The result is a smooth, unitary Page curve in 3+1D Kerr spacetimes, with non-thermality quantified by a single small parameter ε = max{ τ κ / c , L / r₊ } ≪ 1. Key features: No new constants: only {ħ, c, G, kB}. Explicitly falsifiable: non-thermality coefficient c₀ tied to greybody slopes and kernel moments, with clear experimental or analogue targets. General: applies to Schwarzschild and Kerr horizons in 3+1D. Semiclassical: Einstein’s left-hand side preserved, quantum corrections only via renormalized expectation values. Added a short Verison in English and German. Related Works: 10.5281/zenodo.16933270 Zander, A. (2025). From Quantum to Cosmos: The Natural Law of Quantum Fields General Relativity 10.5281/zenodo.15578802 Zander, A. (2025). From Quantum to Cosmos: About Space and Time, Mass and Inertia (Also includes every Paper in an extra Zip in English): 10.5281/zenodo.16925937 Zander, A. (2025). From Quantum Structure to Galactic Rotation: Eliminating Dark Matter with Planck-Covariant Gravity.10.5281/zenodo.16925299 Zander, A. (2025). From Quantum to Cosmos: ZE-Qubit10.5281/zenodo.16925145 Zander, A. (2025). From Quantum to Cosmos - Schrödinger-Zander and Einstein-Zander Equation10.5281/zenodo.16924975 Zander, A. (2025). From Quantum to Cosmos – No Singularities: Planck-Covariant Averaging as Natural Cutoff10.5281/zenodo.16922391 Zander, A. (2025). From Quantum to Cosmos - Planck Two-Measure: Vacuum Catastrophe Fixed, Muon g-2 Consistent10.5281/zenodo.16921499 Zander, A. (2025). From Quantum to Cosmos: Solving the Λ Problem via (ℓₚ·tₚ)/(Rₒᵦₛ·t₀) ⇒ α_σ ≈ 4.60×10⁻¹²³ ⇒ Λ = α_σ/ℓₚ² ≈ 10⁻¹²³10.5281/zenodo.16929728 Zander, A. (2025). From Quantum to Cosmos: The Hawking Information Paradox -- Full Quantum10.5281/zenodo.16929833 Zander, A. (2025). From Quantum to Cosmos: Defusing the Hubble Tension with Planck-Covariant Spacetime Fine-Structure 10.5281/zenodo.16929899 Zander, A. (2025). From Quantum to Cosmos: Planck-Covariant Flavor: Fermion Mass Hierarchies Without New Sectors10.5281/zenodo.16929940 Zander, A. (2025). From Quantum to Cosmos: A Planck-Covariant, Unitary Solution to the Measurement Problem10.5281/zenodo.16910481 Zander, A. (2025). From Quantum to Cosmos: The Hawking Information Paradox Solved (3+1D, No Islands)10.5281/zenodo.16930310 Zander, A. (2025). From Quantum to Cosmos: A Requiem for LCDM - full Scientific + Extra Paper for readers without specialized background Contact & SupportAdrian Zander (Independent Researcher)[email protected]: 0009-0005-2388-5440 Support Scientific Continuation:IBAN: DE73 6149 0150 0132 6850 00BIC: GENODES1AAVReference: Zander Research