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Coherence, Correlation, and Quantum Field Theory

John R. Klauder

Published Jan 1, 1970• 2 citations
OpenAlex

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Appendix Q – Quantum Mechanics and GUFT: A Structural Mapping of Coherence Fields

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The concept of coherence which has conventionally been used in optics is found to be inadequate to the needs of recently opened areas of experiment. To provide a fuller discussion of coherence, a succession of correlation functions for the complex field strengths is defined. The $n\mathrm{th}$ order function expresses the correlation of values of the fields at $2n$ different points of space and time. Certain values of these functions are measurable by means of $n$-fold delayed coincidence detection of photons. A fully coherent field is defined as one whose correlation functions satisfy an infinite succession of stated conditions. Various orders of incomplete coherence are distinguished, according to the number of coherence conditions actually satisfied. It is noted that the fields historically described as coherent in optics have only first-order coherence. On the other hand, the existence, in principle, of fields coherent to all orders is shown both in quantum theory and classical theory. The methods used in these discussions apply to fields of arbitrary time dependence. It is shown, as a result, that coherence does not require monochromaticity. Coherent fields can be generated with arbitrary spectra.

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Appendix Q – Quantum Mechanics and GUFT: A Structural Mapping of Coherence Fields Q.1. Scope and Caution Quantum mechanics (QM) is one of the most precisely tested scientific theories in history. Standard QM and quantum field theory (QFT) correctly describe an enormous range of phenomena, from atomic spectra to semiconductor devices to superconducting qubits. We are not proposing a new physics theory or “fixing” quantum mechanics. Instead, this appendix asks a narrower, safer question: How can the core structures of quantum theory—states, coherence, entanglement, measurement, decoherence—be mapped into the GUFT framework of coherence fields (Ψ = E × T, ΔS, etc.) in a way that is faithful to physics and conceptually useful? We proceed with three strict constraints: We take standard QM/QFT (as found in textbooks and reviewed sources) as non-negotiable. We treat GUFT as a descriptive overlay: a way to talk about structure and information, not an alternative dynamics. Where we draw analogies (e.g., empathy ↔ correlation), we note they are structural, not literal or magical.
The Quantum Informational Synchronicity Theory (QIS) proposes a unified conceptual and mathematical framework linking quantum field information, spacetime geometry, and consciousness as interdependent expressions of a single underlying informational substrate. QIS introduces the concept of the Informational Quantum Continuum (IQC) — a fundamental layer where information density gradients determine both quantum coherence and geometric curvature. Within this continuum, synchronicity refers to the emergence of correlated informational events across spacetime that are not causally mediated but reflect a deeper informational isomorphism. By extending the traditional Lagrangian of quantum field theory (QFT) with an informational metric tensor , QIS suggests that spacetime curvature is not purely energetic but informational in origin, arising from the entropic distribution of quantum states. Consciousness, under this framework, represents the localized self-referential coherence of informational patterns — a macroscopic resonance of the IQC. The formalism introduces an Informational Phase Symmetry (IPS) principle that governs how informational states remain invariant under nonlocal transformations, analogous to gauge symmetry in QFT. Preliminary implications suggest that informational gradients could be responsible for quantum gravitational effects, nonlocal correlations, and even the emergence of subjective experience. QIS therefore stands as a candidate bridge between quantum gravity, information theory, and the physics of mind — implying that to be conscious is to be informationally synchronized with the fabric of spacetime itself. Key words Quantum Informational Synchronicity (QIS), Informational Quantum Continuum (IQC), quantum information, spacetime curvature, informational metric tensor, quantum entropy, nonlocal correlations, quantum gravity, consciousness, informational coherence, Informational Phase Symmetry (IPS), quantum field theory, spacetime geometry
The concept of coherence which has conventionally been used in optics is found to be inadequate to the needs of recently opened areas of experiment. To provide a fuller discussion of coherence, a succession of correlation functions for the complex field strengths is defined. The nthn\mathrm{th}nth order function expresses the correlation of values of the fields at 2n2n2n different points of space and time. Certain values of these functions are measurable by means of nnn-fold delayed coincidence detection of photons. A fully coherent field is defined as one whose correlation functions satisfy an infinite succession of stated conditions. Various orders of incomplete coherence are distinguished, according to the number of coherence conditions actually satisfied. It is noted that the fields historically described as coherent in optics have only first-order coherence. On the other hand, the existence, in principle, of fields coherent to all orders is shown both in quantum theory and classical theory. The methods used in these discussions apply to fields of arbitrary time dependence. It is shown, as a result, that coherence does not require monochromaticity. Coherent fields can be generated with arbitrary spectra.