This paper is part of the Aetherium Foundations Phase, which develops the formal field equations, emergent geometry, and theoretical structure underlying the Aetherium substrate. This paper develops the quantum‑mechanical side of the Aetherium framework, deriving quantum behavior from coherence fluctuations, resonance structure, and substrate‑level phase dynamics. It complements Paper 13’s derivation of emergent geometry and prepares the ground for numerical simulations in Paper 15. Quantum Emergence from Coherence Fluctuations develops the quantum‑mechanical side of the Aetherium framework, complementing Paper 13’s derivation of emergent geometry. In this work, quantum behavior arises from fluctuations, resonance structure, and phase dynamics of the underlying coherence substrate. Coherence amplitude and substrate phase give rise to quantum‑like complex amplitudes; resonance‑compatible trajectories generate a path‑integral‑like transition structure; and resonance locking produces discrete, stable modes corresponding to quantized energy levels. Shared resonance structure explains entanglement, while measurement corresponds to coherence reconfiguration into the nearest stable resonance mode. Classical behavior emerges from rapid phase scrambling in large systems. This paper establishes quantum mechanics as an emergent, resonance‑driven phenomenon within the Aetherium substrate and prepares the ground for Paper 15, which develops numerical simulations of coherence dynamics. Revision 1 adds a papragraph about recent ultrafast measurements of bright squeezed vacuum (BSV) pulses.
This paper is part of the Aetherium Foundations Phase, which develops the formal field equations, emergent geometry, and theoretical structure underlying the Aetherium substrate. This paper develops the quantum‑mechanical side of the Aetherium framework, deriving quantum behavior from coherence fluctuations, resonance structure, and substrate‑level phase dynamics. It complements Paper 13’s derivation of emergent geometry and prepares the ground for numerical simulations in Paper 15. Quantum Emergence from Coherence Fluctuations develops the quantum‑mechanical side of the Aetherium framework, complementing Paper 13’s derivation of emergent geometry. In this work, quantum behavior arises from fluctuations, resonance structure, and phase dynamics of the underlying coherence substrate. Coherence amplitude and substrate phase give rise to quantum‑like complex amplitudes; resonance‑compatible trajectories generate a path‑integral‑like transition structure; and resonance locking produces discrete, stable modes corresponding to quantized energy levels. Shared resonance structure explains entanglement, while measurement corresponds to coherence reconfiguration into the nearest stable resonance mode. Classical behavior emerges from rapid phase scrambling in large systems. This paper establishes quantum mechanics as an emergent, resonance‑driven phenomenon within the Aetherium substrate and prepares the ground for Paper 15, which develops numerical simulations of coherence dynamics. Revision 1 adds a papragraph about recent ultrafast measurements of bright squeezed vacuum (BSV) pulses.
This paper is part of the Aetherium Foundations Phase, which develops the formal field equations, emergent geometry, and theoretical structure underlying the Aetherium substrate. The quantum measurement problem arises from the tension between the linear, deterministic evolution of quantum states and the emergence of single, definite outcomes in measurement. Standard formulations introduce collapse postulates or interpretive overlays but provide no physically grounded mechanism for outcome selection within a single world. The Aetherium framework resolves this tension by introducing a pre‑geometric substrate whose intrinsic property is coherence, constrained by the resonant structure of the substrate. Quantum states are coarse‑grained descriptions of coherence patterns, and measurement corresponds to a coherence‑reconfiguration event in which the combined system–apparatus coherence aligns with a resonance‑compatible configuration. Decoherence stabilizes this configuration by redistributing coherence across many degrees of freedom, while probabilities arise from the relative stability of resonant attractor states, yielding the Born rule as a structural consequence of the substrate’s resonance architecture. This coherence‑first ontology provides a single‑world, realist, and local account of measurement that preserves the empirical success of quantum theory while eliminating collapse, branching, and observer‑dependence. The result is a unified and physically meaningful foundation for understanding the quantum‑to‑classical transition.
This series presents a structured and logically sequential formulation of a discrete informational framework governed by global coherence constraints. Although it originates from the same research program developed in the earlier exploratory preprint series (P-series), the works presented here constitute an autonomous and self-contained series, organized in a progressively axiomatic form and focused on the explicit derivation of the framework’s effective structures. The goal of the construction is to investigate whether structures commonly associated with quantum mechanics, thermodynamics, and geometry may emerge from a discrete relational substrate without being introduced as fundamental postulates. Each article addresses a specific level of the theoretical derivation and forms part of a progressive logical structure based on results established in the preceding works of the series. This article develops the emergence of Hilbert-space structure and Schrödinger-type effective dynamics from the coherent two-field sector established in Paper 02. The work demonstrates that the global coherence constraints imposed on the discrete informational substrate naturally generate an effective complex representation endowed with linear superposition properties and unitary-preserving evolution. The analysis shows that the two-component coherent sector admits a mathematically stable reformulation equivalent to a Hilbert-space structure, and that the effective evolution of the coherent amplitudes leads to a Schrödinger-type dynamical equation without introducing quantum mechanics as an initial assumption. The article further derives the probabilistic interpretation associated with the effective amplitudes and clarifies how quantum-like statistical behavior emerges from the internal coherence conditions of the underlying discrete system. No quantum postulates are assumed at the foundational level. The purpose of the article is to demonstrate that the formal structures associated with quantum mechanics can emerge as effective consequences of coherence-preserving informational dynamics. The article does not assume quantum mechanics as a foundational theory and does not postulate the Hilbert-space formalism a priori. Instead, the work demonstrates that, within the internal hypotheses and coherence constraints of the proposed discrete informational framework, structures mathematically equivalent to Hilbert-space representations and Schrödinger-type evolution can arise as effective emergent descriptions. The purpose of the derivation is therefore not to reproduce standard quantum mechanics by assumption, but to show that quantum-like formal structures may consistently emerge from deeper coherence-preserving informational dynamics.
Quantum entanglement is often interpreted as implying nonlocal influence or instantaneous collapse. In the Aetherium framework, entanglement is instead understood as a single coherence structure spanning multiple degrees of freedom within a pre‑geometric constraint architecture. Coherence does not propagate, time is relational, and measurement corresponds to a coherence‑reconfiguration event that selects a resonance‑compatible attractor for the entire shared structure. Bell correlations arise from the substrate’s resonance‑compatibility constraints rather than from nonlocal causation or hidden variables. Classical locality emerges only after coherence stabilizes into separate attractor states through decoherence. This coherence‑first ontology provides a single‑world, realist, and local account of entanglement that dissolves the appearance of “spooky action at a distance.” Keywords: Aetherium; entanglement; coherence; measurement problem; Bell correlations; pre‑geometric substrate; quantum foundations; decoherence; locality; resonance‑compatibility
We present the first numerical evidence that the Energy Resonance Field Theory (ERFT) supports emergent entanglement-like correlations through deterministic substrate field dynamics.Simulations of a discretized ERFT field reveal structured long-range covariance, fractal mode grouping, spectral coherence, and a robust entanglement proxy across spatial blocks.This demonstrates that entanglement need not be a fundamental postulate but can instead be an emergent collective effect of a deeper relativistic substrate.We derive the theoretical conditions for mode-locking, present the numerical pipeline used to obtain the results, compare the findings with standard quantum mechanics and Bell-theorem constraints, and discuss the implications for scalable quantum computation.
Quantum mechanics predicts measurement outcomes with remarkable accuracy, yet it does not identify the physical mechanism that produces them. Standard formalisms treat collapse as an external postulate or an informational update, leaving the origin of measurement undefined. This paper develops a substrate-based account in which measurement arises from the structural properties of mass rather than from observation, information, or consciousness. Within the Quantum Substrate Dynamics (QSD) framework, all stable matter possesses a finite coherence envelope and participates in discrete Causality Intervals (CIs) that bound how the substrate can reconfigure. Massless excitations such as photons do not possess coherence envelopes and therefore cannot induce or modify collapse; they only traverse the geometric constraints imposed by nearby mass-phase structures.From this asymmetry, a coherent picture of measurement emerges. Collapse occurs when the envelope of a mass-phase structure overlaps a propagating excitation and enforces local CI pacing and curvature--compliance limits, defining which outcomes are structurally supportable. This mechanism reproduces the behavior of detectors, the material dependence of diffraction, the emergence of interference patterns only at mass-phase boundaries, and the well-established fact that light beams in free space do not interact. Classical paradoxes: Wigner's friend, Schrodinger's cat, contextuality, and delayed-choice interference are resolved without invoking global wavefunctions, observer-dependent realities, or branching worlds.The result is a fully physical, mass-induced account of quantum measurement. Collapse becomes a structural re-lock within the substrate rather than an epistemic update or interpretational supplement. This framework preserves the successful predictions of quantum theory while supplying the missing mechanism: observation is not a special act, but the structural consequence of mass interacting with serialized, massless propagations under finite substrate throughput.Version 2 Revision:The title and abstract have been updated to improve clarity and better reflect the paper’s central mechanism. No changes have been made to the analysis or conclusions.
The substrate field theory, developed in the first three papers of this series, posits a universal physical medium whose rigidity K and effective density ρ₀ determine the speed of light and whose dissipation governs cosmological redshift and orbital decay. In this paper, we show that the same substrate field naturally gives rise to all quantum phenomena as emergent properties of its microscopic structure. The substrate is assumed to possess a discrete granularity at a fundamental scale l₀, leading to quantization of energy and momentum. Linear excitations of the substrate—wave packets—exhibit wave–particle duality. The linearity of the wave equation allows coherent superpositions, giving rise to superposition and entanglement. The substrate's inherent dissipation provides a physical mechanism for decoherence, resolving the measurement problem without invoking a conscious observer. The Heisenberg uncertainty relation emerges as a Fourier property of wave packets in the substrate. Thus quantum mechanics is not a fundamental theory but an effective description of substrate dynamics at microscopic scales. This framework unifies quantum phenomena with classical physics, cosmology, and thermodynamics, eliminating the need for quantum postulates and explaining the apparent "weirdness" of the quantum world as natural consequences of a physical medium.Part IV of the Substrate Field Theory series