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The Asymmetric Source Field Model (ASFM) as a Real-Space Residual- Field Foundation of Quantum Correlation Structure Norm-Preserving CHSH Ring Closure, Fixed-Ring Validation, and Interference- Resonance Specificity

Andreas Pernt

Published Aug 11, 2026• 0 citations
Publisher

Abstract

Abstract The Asymmetric Source Field Model (ASFM) is developed as a real-space residual-field framework for quantum correlation structure. Observable structures are modeled as spatially bounded residual-field interference organizations with resonance structure arising from harmonically scaled spherical source-field superposition. The residual field is defined by

DOI
10.21203/rs.3.rs-10326017/v1

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Abstract The Asymmetric Source Field Model (ASFM) is developed as a real-space residual-field framework for quantum correlation structure. Observable structures are modeled as spatially bounded residual-field interference organizations with resonance structure arising from harmonically scaled spherical source-field superposition. The residual field is defined by
The Asymmetric Source Field Model (ASFM) is a general real-space residual-field theory that addresses multiple open questions in quantum and nuclear physics. The present work applies this framework specifically to quantum correlation structure. Observable structures are modeled as spatially bounded residual-field interference organizations with resonance structure arising from harmonically scaled spherical source-field superposition. Constructive and conjugate-modulating sectors generate spatially bounded, nonzero, spatially persistent coherence nodes characterized by phase coherence, amplitude ordering, eigenmode structure, resonance capability, and node-to-node coupling response. In the Bell/CHSH reconstruction, the two measurement sites are not treated as independent carriers of pre-existing local values. They are local eigenmode readouts of one shared, spatially bounded residual-field interference topology with resonance structure. ASFM is therefore not a Bell-local hidden-variable model; the Bell assumption not satisfied by ASFM is local separability, equivalently local factorization. Bell-type correlations arise from non-separable residual-field topology, not from detector unfairness, sample rejection, or post-selection. The present work formulates the corresponding norm-preserving CHSH ring structure. The four CHSH configurations are interpreted as linked readout states of a closed resonance ring in the joint residual-field eigenmode space. A physically admissible closed ring may redistribute phase, frequency, amplitude, and eigenmode orientation, but it may not create residual-field readout norm. The associated normalized ring coherence represents the closure fraction of the conserved ASFM ring-norm class. The Bell-local boundary corresponds to the absence of an additional nonclassical ring-closure contribution, whereas complete norm-preserving closure corresponds to the Tsirelson limit. The paper distinguishes effective and direct Noether-ring coherence. Effective coherence is extracted from the simulated CHSH value. Direct coherence is predicted independently from phase closure, frequency compatibility, amplitude balance, and residual-node eigenmode coherence. Agreement between these quantities and their stable positive correlation constitute the principal non-circular validation criterion. The numerical reconstruction reports stable interference-resonance windows in which fixed-ring bounded readouts are Bell-violating and Tsirelson-safe. The leading confirmed window at a grid resolution of 65 cubed and harmonic range K6-K24 reaches a mean absolute CHSH value of 2.8118, with no Class-III seed in high-statistics confirmation. Across all confirmed interference-resonance windows, fixed-ring component tests show that phase, frequency compatibility, amplitude readout, eigenmode transport, coupling, and CHSH angular geometry are necessary. Controlled degradation of each component monotonically reduces the absolute CHSH value and produces no super-Tsirelson outcomes. The strongest near-Tsirelson windows form a more specific structural subclass characterized by compact pair topology, stable bounded readout, favorable amplitude response, and stable two-axis eigenmode structure. Direct structural coherence is retained as a global classifier. The principal non-circular refinement is an independently computed CHSH-mode anisotropy factor that incorporates the local orientation, transport, and angular dependence of the eigenmodes before CHSH evaluation. Within this application of the broader ASFM theory, quantum entanglement is interpreted as the effective readout of coupled, spatially bounded residual-field interference nodes with resonance structure embedded in a shared field topology, rather than as a connection between isolated particles. The Tsirelson bound is reconstructed operationally as the fixed, norm-preserving closure limit of an admissible CHSH residual-field readout ring.
This preprint formulates Schrödinger’s cat as a boundary case of macroscopic residual-cluster stabilization within the Asymmetric Source Field Model (ASFM). Instead of treating the cat as a fundamental object placed into competing macroscopic states, the manuscript describes macroscopic reality as stabilized wave-field topology.The ASFM framework starts from the residual field relationwhere constructive source-field components and destructive compensation-field components generate finite, nonzero residual interference structures. Residual nodes are treated as real-space coherence structures, while the quotient structure provides the algebraic stabilization framework.The manuscript distinguishes residual nodes, cluster classes, quotient mappings, causal-retarded field action, topological correlation, and non-claimed simultaneous marginal control. Measurement is described as residual-cluster stabilization rather than as the collapse of a fundamental macroscopic object. The work also states explicit failure conditions and open validation points for future ASFM measurement dynamics.
This record provides the short manuscript of the Asymmetric Source Field Model (ASFM), a deterministic interference-field approach in which atomic structure is described by stable residual coherence nodes formed by superposed spherical-wave sources. The manuscript is included in English and German versions. The work focuses on a field-based interpretation of valence as an emergent node topology and outlines a parameter-sweep and node-detection workflow for selected elements. Note on code: A standalone reference implementation exists, but it is not included in this record version because it has not been re-tested in the current environment. A tested snapshot can be provided in a later Zenodo version.