From Quantum to Cosmos: A Planck-Covariant, Unitary Solution to the Measurement Problem σₚ = ℓₚ·tₚ = ℏG/c⁴

We present a minimal, covariant solution to the quantum measurement problem that retains global unitarity. Composite operators are constructed by Planck-covariant smearing over the invariant two-measure σₚ = ℓₚ·tₚ = ℏG/c⁴. The reduced system evolves under a universal master equation with double-commutator dissipators fixed by the smearing scales (L, τ), constrained by L·τ = σₚ: • energy-basis dephasing: −(τ² / 2ℏ²) [H_S, [H_S, ρ_S]]• pointer-basis dephasing: −(1 / 2L²) Σ_α [X_α, [X_α, ρ_S]] These terms generate objective, covariant decoherence while preserving conservation laws and introducing no new fundamental constants beyond {ℏ, c, G, k_B}. The framework yields scaling laws for decoherence rates, Γ_σ(a, b) ≈ (τ² / 2ℏ²) (ΔE_ab)² + (1 / 2L²) Σ_α (ΔX_{α,ab})², where ΔE_ab and ΔX_{α,ab} are energy and pointer-observable gaps between branches. We show how pointer states and Born weights emerge operationally via redundancy and typicality, and we outline falsifiable signatures for mesoscopic interferometry, levitated optomechanics, and superconducting platforms. The proposal is fully unitary at the global level, covariant by construction, and fixed by the Planck two-measure σₚ rather than by new sectors or ad-hoc collapse postulates. 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

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-22
DOI
https://doi.org/10.5281/zenodo.16929940
Primary Topic
Geochemistry and Geologic Mapping
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article
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article

From Quantum to Cosmos: A Planck-Covariant, Unitary Solution to the Measurement Problem σₚ = ℓₚ·tₚ = ℏG/c⁴

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

From Quantum to Cosmos: A Planck-Covariant, Unitary Solution to the Measurement Problem σₚ = ℓₚ·tₚ = ℏG/c⁴

article en

Abstract

We present a minimal, covariant solution to the quantum measurement problem that retains global unitarity. Composite operators are constructed by Planck-covariant smearing over the invariant two-measure σₚ = ℓₚ·tₚ = ℏG/c⁴. The reduced system evolves under a universal master equation with double-commutator dissipators fixed by the smearing scales (L, τ), constrained by L·τ = σₚ: • energy-basis dephasing: −(τ² / 2ℏ²) [H_S, [H_S, ρ_S]]• pointer-basis dephasing: −(1 / 2L²) Σ_α [X_α, [X_α, ρ_S]] These terms generate objective, covariant decoherence while preserving conservation laws and introducing no new fundamental constants beyond {ℏ, c, G, k_B}. The framework yields scaling laws for decoherence rates, Γ_σ(a, b) ≈ (τ² / 2ℏ²) (ΔE_ab)² + (1 / 2L²) Σ_α (ΔX_{α,ab})², where ΔE_ab and ΔX_{α,ab} are energy and pointer-observable gaps between branches. We show how pointer states and Born weights emerge operationally via redundancy and typicality, and we outline falsifiable signatures for mesoscopic interferometry, levitated optomechanics, and superconducting platforms. The proposal is fully unitary at the global level, covariant by construction, and fixed by the Planck two-measure σₚ rather than by new sectors or ad-hoc collapse postulates. 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

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