Information-Copying Cosmology IX: Quantum Defect Field and the Emergence of Quantum Mechanics
Year: 2026
Type: article
Abstract: We extend the Information-Copying Cosmology (ICC) framework by quantizing the emergent defect field D(x,t) that underlies both dark matter and baryonic matter in the classical theory. Starting from the microscopic stochastic copying dynamics on a simplicial com plex, we demonstrate that quantum mechanics emerges as the unique continuum limit under four conditions: Poissonian fluctuations, diffu sive scaling a2/∆t = κ, local probability conservation, and isotropic copying. The Martin-Siggia-Rose (MSR) path integral representa tion yields a complex field Ψ(x,t) = D(x,t)eiS(x,t)/κ satisfying the Schrödinger equation iκ∂tΨ = (−κ2∇2/2m + V)Ψ, with ℏeff = κ = a2/∆t. Canonical commutation relations emerge from the response f ield formalism, not from a postulate. The quanta of the defect field are natural dark matter candidates with mass mD = V′′(D0). Nu merical calculation of the primordial power spectrum from copying dynamics yields ns = 0.962 ± 0.008, consistent with Planck observa tions without an inflaton. The tensor-to-scalar ratio is exactly r = 0 at linear order, providing a sharp falsifiable prediction distinguishing ICC from inflation. This is Part IX of the ICC series.
Author: Gimranov, Alik
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7155703221
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