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Quantum Foundations from a Physical Vacuum: Dual Spectral Resonance and Emergent Quantization in QGT:IR

Martín Fuertes Oliva

Published Jan 12, 2025• 0 citations
Publisher

Abstract

Quantum mechanics is assumed throughout as a fundamental and experimentallyvalidated formalism. This work does not seek to replace or modify its mathematicalstructure. Instead, we investigate whether several well-known quantum phenomenacan be understood as universal consequences of treating quantum systems as opensystems embedded in a structured physical vacuum.Within the Quantum Gravity Theory based on Inverted Relativity (QGT:IR), thevacuum is modeled as a scalar medium with spectral response properties, and all physicalsystems are assumed to exchange energy weakly but persistently with this vacuum.Under these assumptions, we show that quantum decoherence, vacuum-induced noise,hierarchies of state lifetimes, and an effective arrow of time emerge naturally withoutaltering the Hilbert-space formalism, operator algebra, or measurement postulates ofquantum mechanics.A strict methodological distinction is maintained between results that are deriveddirectly from the framework and physical interpretations that provide ontological orconceptual insight without introducing new predictions. The domain of validity of theapproach is carefully delineated, and its continuity with standard quantum mechanicsand quantum field theory is emphasized.

DOI
10.5281/zenodo.17549987

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Previous developments of Quantum Gravity Theory based on Inverted Relativity (QGT:IR)established a deterministic constitutive description of the physical vacuum and subsequentlyextended it to a statistical framework through constitutive correlation hierarchies, Greenfunctions, and effective electromagnetic kernels. A further study demonstrated that thesestructures naturally generate interference-like terms and long-range constitutive correlationsresembling important mathematical features of double-slit interference and Bell-type experi-ments. Nevertheless, one essential element remained absent: a constitutive theory connectingvacuum correlations with observable detector events.The present work introduces a Constitutive Detection Theory (CDT) intended to providethis missing link. Starting exclusively from the constitutive scalar action and its statisticalextension, a local detector-response functional is constructed and coupled to the constitutivecorrelation hierarchy. Without introducing wavefunctions, Hilbert spaces, quantum opera-tors, or the Born postulate, the formalism derives an effective detection functional whosestatistical properties are determined by the vacuum correlation functions.The analysis investigates whether experimentally observed interference patterns and non-local detector correlations may emerge as macroscopic consequences of constitutive vacuumdynamics. Exact mathematical derivations are distinguished rigorously from constitutive hy-potheses and phenomenological assumptions. Particular attention is devoted to identifyingwhich elements follow uniquely from the constitutive action and which require independentexperimental determination.If successful, Constitutive Detection Theory provides the final mathematical componentrequired to transform the previous constitutive framework into a predictive phenomenologicaltheory capable of generating measurable detector statistics while remaining fundamentallydeterministic. No claim is made that Quantum Mechanics is derived. Rather, the presentwork investigates whether quantum-like statistical observations can emerge as effective man-ifestations of constitutive vacuum dynamics.
Quantum mechanics provides an operationally complete and extraordinarily accurate description of microscopic phenomena, yet it remains deliberately silent about the physical origin of its own structural features. Discreteness, operator formalisms, superposition, interference, and probabilistic outcomes are treated as axiomatic, not explained. This paper interprets that silence not as a limitation, but as evidence that quantum mechanics operates within a specific physical regime rather than at the level of fundamental ontology. Within the Breathing Universe Model (BUM), the vacuum is the sole physical substrate and orders itself through threshold redistribution (“snapping”), coherence selection, and rhythmic stabilization governed by Omega as ordering and memory rather than energy or force. When a continuous vacuum supports nested snapping, operator-constrained transformations, stable coherence knots, and persistent phase alignment, a quantum-like structural description becomes unavoidable. Discrete states arise as survivors of threshold ordering, operator formalisms encode transformation constraints, superposition reflects overlapping admissible coherence configurations prior to re-alignment, and probabilistic outcomes summarize coherence selection under inaccessible micro-phase detail. This paper does not derive, modify, or replace quantum mechanics, nor does it treat wavefunctions, Hilbert space, or measurement postulates as ontological primitives. Instead, it demonstrates why quantum structure must emerge as an effective coherence regime once the vacuum is ordered according to the BUM canon. Quantum mechanics is thus framed as operationally complete but ontologically downstream: it faithfully reports what structure must look like once coherence exists, without explaining why such structure must arise. By grounding quantum structure in vacuum ordering, coherence memory, and constraint-based transformation, this work establishes the ontological handoff to quantum correspondence and the emergence of information, where quantum informational behavior is interpreted as physical persistence of coherence relations in the vacuum.
The previous statistical formulation of Quantum Gravity Theory based on Inverted Rel-ativity (QGT:IR) established a constitutive description of the vacuum through a hierarchyof correlation functions, effective Green functions, and constitutive electromagnetic kernels.Those results demonstrated that the constitutive vacuum possesses the mathematical struc-tures required for correlated propagation and interference-like dynamics, while explicitlyavoiding any claim of deriving Quantum Mechanics.The present work investigates whether this constitutive statistical framework can beextended to reproduce the mathematical structure of two fundamental quantum phenomena:double-slit interference and nonlocal correlations. Starting exclusively from the constitutivescalar action and its statistical extension, we derive the effective electromagnetic responsegenerated by multiple constitutive sources, construct the corresponding intensity functionalmeasured by an ideal detector, and establish the conditions under which interference patternsemerge from constitutive vacuum correlations.The same formalism is then generalized to spatially separated constitutive regions, al-lowing the construction of normalized constitutive correlation functions analogous to thoseemployed in quantum correlation experiments. Their mathematical properties are analyzedtogether with the conditions required for long-range constitutive coherence.Throughout the article a strict distinction is maintained between exact mathematicalderivations, effective constitutive models, and working hypotheses. No claim is made thatthe Born rule, Hilbert-space structure, wavefunctions, quantum entanglement, or violationsof Bell inequalities are derived. Instead, the present work establishes a unified constitutiveframework from which experimentally testable interference and nonlocal correlation phenom-ena may emerge as effective macroscopic consequences of statistical vacuum dynamics.
The quantum measurement problem remains one of the most profound unresolved issues in fundamental physics. While quantum mechanics delivers extraordinarily precise statistical predictions, it does not specify a physical mechanism by which definite classical outcomes arise from quantum superpositions. Decoherence theory accounts for the suppression of interference but does not explain outcome selection or the stability of classical reality. This paper investigates quantum measurement within the framework of Relativistic Coherent Vacuum Gravity Theory (rCVGT). In rCVGT, the vacuum is modeled as a structured relativistic medium characterized by a coherence order parameter ψ(x), a coherence magnitude Q(x) = |ψ(x)|², a vacuum-flow four-field u^μ(x), and a physical time-rate field τ(x). We propose that quantum measurement corresponds to a dynamical instability of vacuum coherence induced by macroscopic coupling to matter and radiation. Classical outcomes emerge when local vacuum coherence is driven below a critical stability threshold, resulting in an irreversible reconfiguration of the vacuum state. The collapse timescale is determined by the vacuum-coherence self-energy defined within rCVGT. This mechanism simultaneously provides a physical foundation for classicality, irreversibility, and the arrow of time. The framework preserves the formal structure and empirical predictions of quantum mechanics while offering a unified physical explanation of measurement grounded in relativistic vacuum dynamics.
Modern theoretical physics rests on two highly successful but conceptually distinct frameworks: quantum mechanics and general relativity. While both theories are experimentally confirmed to high precision within their respective domains, they rely on fundamentally different starting points. General relativity takes spacetime as a primitive geometric structure, whereas quantum mechanics is formulated in terms of abstract state spaces without intrinsic spacetime meaning. Most approaches to quantum gravity attempt to reconcile this tension by modifying, quantizing, or discretizing spacetime itself. Even in approaches where spacetime is said to be “emergent,” it typically remains the primary conceptual backdrop on which physical processes are defined. Despite extensive efforts, there is no consensus on whether spacetime should be regarded as fundamental or derivative. In this work, a more radical starting point is explored. Rather than modifying spacetime or its geometry, we ask whether spacetime can be excluded entirely from the fundamental layer of the theory and recovered only at a later, operational stage. The central question is not how spacetime behaves, but whether the notion of “what lies between physical objects” must be spatial or temporal at the most fundamental level. We propose a framework—referred to here as Super Relativity (SR)—based on a single pre-geometric postulate: the existence of a monotonically expanding set of possible quantum configurations, referred to as the flux. Formally, this flux is represented as a monotone, σ-finite family of capacity measures on a common configuration space (introduced in Section 2). This postulate deliberately refrains from assuming spacetime, time ordering, metric structure, causality, or dynamics. Within this pre-geometric core, two derived, dimensionless notions are introduced: utilization, describing the realization of configurations, and saturation, defined as the ratio between utilized and available configurations. A central structural element of SR is the strict separation between a core layer and an interface layer. In the core layer, all quantities are pre-geometric and dimensionless, and no reference is made to space, time, motion, energy, or interaction. Only at the interface layer are operational notions introduced, including clocks, rulers, and signal propagation. Spacetime, in this construction, is not a dynamical entity but an effective bookkeeping structure that encodes relative rates of change once a calibration to physical units is performed. Within this framework, gravitational phenomena do not originate from spacetime curvature taken as fundamental. Instead, they arise from variations in saturation that, at the interface level, manifest as uniform rescalings of physical processes. When expressed in geometric language, these rescalings reproduce the standard predictions of general relativity, including gravitational time dilation and the equivalence between gravitation and acceleration. The invariant local speed of light is not postulated but follows as a derived consequence, since both clock rates and signal propagation are affected identically by the same underlying saturation mechanism. The aim of this paper is not to introduce new empirical predictions beyond those of general relativity, nor to present a complete theory of quantum gravity. Rather, the objective is foundational: to demonstrate that the mathematical structure of general relativity can be reconstructed from a single pre-geometric postulate without assuming spacetime as part of the fundamental ontology. In this sense, SR should be understood as a reconstruction and reinterpretation of known physics, rather than as a competing dynamical theory. An extended and fully explicit formulation of the framework, including all intermediate steps, is available in a companion preprint (version V12) deposited on Zenodo. The present paper restricts itself to the minimal conceptual and mathematical structure required to establish logical consistency and to demonstrate the emergence of general-relativistic behavior at the interface level.
Quantum systems are viewed as emergent systems from the fundamental degrees of freedom. The laws and rules of quantum mechanics are understood as an effective description, valid for the emergent systems and specially useful to handle probabilistic predictions of observables. After introducing the geometric theory of Hamilton-Randers spaces and reformulating it using Hilbert space theory, a Hilbert space structure is constructed from the Hilbert space formulation of the underlying Hamilton-Randers model and associated with the space of wave functions of quantum mechanical systems. We can prove the emergence of the Born rule from ergodic considerations. A geometric mechanism for a natural spontaneous collapse of the quantum states based on the concentration of measure phenomena as it appears in metric geometry is discussed.We show the existence of stable vacua states for the quantized matter Hamiltonian. Another consequence of the concentration of measure is the emergence of a weak equivalence principle for one of the dynamics of the fundamental degrees of freedom. We suggest that the reduction of the quantum state is driven by a gravitational type interaction. Such interaction appears only in the dynamical domain when localization of quantum observables happens, it must be a classical interaction. We discuss the double slit experiment in the context of the framework proposed, the interference phenomena associated with a quantum system in an external gravitational potential, a mechanism explaining non-quantum locality and also provide an argument in favour of an emergent interpretation of every macroscopic time parameter. Entanglement is partially described in the context of Hamilton-Randers theory and how naturally Bell's inequalities should be violated.