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arXiv:2001.11617 · Foundations of Physics

Quantum Causality Relations and the Emergence of Reality from Coherent Superpositions

Holger F. Hofmann

Published May 18, 2020• 3 citations
arXivHTMLPDF
DOI
10.1007/s10701-020-00346-4

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We develop a pregeometric framework in which quantum mechanics, gauge structure, gravitation, matter, and spacetime emerge from the stability dynamics of coherent relational transport organization. Rather than assuming spacetime manifolds, Hilbert spaces, or gauge symmetries as fundamental, the theory begins from a primitive causal-relational substrate consisting only of composable transport relations. A generalized spectral transport operator is introduced to represent coherent relational dynamics. Stable eigensectors of generate effective particles, locality, gauge structure, and geometry. Physical organization is governed by a generalized relational stability functional whose extrema define dynamically persistent coherent structures. Quantum mechanics emerges from coherent compositional consistency, gauge symmetry emerges as redundancy of transport representation, and spacetime geometry emerges statistically through spectral localization, thermodynamic projection, and relational distinguishability stabilization. The framework therefore proposes that physical reality is fundamentally not a collection of objects evolving inside spacetime, but a self-stabilizing process of coherent relational spectral organization from which matter, fields, and spacetime itself emerge
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This paper develops one of the foundational mechanisms of Radial Coherential Dynamics (RCD): coherence is global, but its rupture is radial. This asymmetry resolves the century-old tension between quantum non-locality and relativistic causal structure. In RCD, coherence can extend across spatially separated systems, explaining entanglement, while collapse propagates radially at speed ccc from a nucleation center. Causal structure is therefore not an axiom, but an emergent order defined by the arrival times of collapse fronts. This provides: A derivation of causality from first principles A resolution of the EPR paradox without non-local signaling A mechanism for single outcomes (why we observe one classical reality) A geometric origin for the arrow of time Experimental predictions related to decoherence delays and spatial asymmetries Radial Causality reframes collapse as a wave-like propagation in the coherence field C(x,t)C(x,t)C(x,t), whose emergent metric determines the propagation speed. The universe does not update globally — it updates in expanding radial cascades, each rewriting the boundary between coherence and actuality.