This work proposes a phenomenological framework linking quantum localization to weak-field gravitational response through informational load functionals. The central idea is that the degree of spatial localization of a quantum state may be associated with an effective participation factor governing how strongly that state contributes to inertial and gravitational phenomena. Localization is quantified using standard measures such as the inverse participation ratio (IPR), combined with reference scales that render localization dimensionless. A monotonic substrate response function is introduced to map localization load to observable effects. In the weak-field regime, a linear response approximation recovers familiar gravitational scaling relations. The framework does not modify Schrödinger dynamics, introduce new particles, or attempt a full theory of quantum gravity. Instead, it explores whether aspects of gravity normally described geometrically can be reinterpreted as state-dependent informational load. Illustrative empirical connections are discussed using known atomic ionization data to show how varying localization regimes may correspond to different participation factors. These examples are intended as phenomenological consistency checks rather than precision derivations. Scope and Status: This work is exploratory and interpretational. It is intended as a conceptual bridge between quantum and gravitational descriptions, not as a completed fundamental theory. Predictions are restricted to weak-field regimes, and strong-field behavior is left open. Key Points: Treats mass-like behavior as state-dependent participation Uses established localization measures (IPR) Introduces substrate response only phenomenologically Does not invoke gravitons or modify QM equations Suggests testable scaling relations in principle Purpose: The goal is to stimulate discussion on whether gravitational response might be expressible in informational or localization terms, providing an alternative viewpoint on the QM–GR interface.Update in this version: Reference of Effective Mass Theory. Noticed there exist the effe
This work proposes a phenomenological framework linking quantum localization to weak-field gravitational response through informational load functionals. The central idea is that the degree of spatial localization of a quantum state may be associated with an effective participation factor governing how strongly that state contributes to inertial and gravitational phenomena. Localization is quantified using standard measures such as the inverse participation ratio (IPR), combined with reference scales that render localization dimensionless. A monotonic substrate response function is introduced to map localization load to observable effects. In the weak-field regime, a linear response approximation recovers familiar gravitational scaling relations. The framework does not modify Schrödinger dynamics, introduce new particles, or attempt a full theory of quantum gravity. Instead, it explores whether aspects of gravity normally described geometrically can be reinterpreted as state-dependent informational load. Illustrative empirical connections are discussed using known atomic ionization data to show how varying localization regimes may correspond to different participation factors. These examples are intended as phenomenological consistency checks rather than precision derivations. Scope and Status: This work is exploratory and interpretational. It is intended as a conceptual bridge between quantum and gravitational descriptions, not as a completed fundamental theory. Predictions are restricted to weak-field regimes, and strong-field behavior is left open. Key Points: Treats mass-like behavior as state-dependent participation Uses established localization measures (IPR) Introduces substrate response only phenomenologically Does not invoke gravitons or modify QM equations Suggests testable scaling relations in principle Purpose: The goal is to stimulate discussion on whether gravitational response might be expressible in informational or localization terms, providing an alternative viewpoint on the QM–GR interface.Update in this version: Reference of Effective Mass Theory. Noticed there exist the effe
This work proposes a phenomenological framework linking quantum localization to weak-field gravitational response through informational load functionals. The central idea is that the degree of spatial localization of a quantum state may be associated with an effective participation factor governing how strongly that state contributes to inertial and gravitational phenomena. Localization is quantified using standard measures such as the inverse participation ratio (IPR), combined with reference scales that render localization dimensionless. A monotonic substrate response function is introduced to map localization load to observable effects. In the weak-field regime, a linear response approximation recovers familiar gravitational scaling relations. The framework does not modify Schrödinger dynamics, introduce new particles, or attempt a full theory of quantum gravity. Instead, it explores whether aspects of gravity normally described geometrically can be reinterpreted as state-dependent informational load. Illustrative empirical connections are discussed using known atomic ionization data to show how varying localization regimes may correspond to different participation factors. These examples are intended as phenomenological consistency checks rather than precision derivations. Scope and Status: This work is exploratory and interpretational. It is intended as a conceptual bridge between quantum and gravitational descriptions, not as a completed fundamental theory. Predictions are restricted to weak-field regimes, and strong-field behavior is left open. Key Points: Treats mass-like behavior as state-dependent participation Uses established localization measures (IPR) Introduces substrate response only phenomenologically Does not invoke gravitons or modify QM equations Suggests testable scaling relations in principle Purpose: The goal is to stimulate discussion on whether gravitational response might be expressible in informational or localization terms, providing an alternative viewpoint on the QM–GR interface.Update in this version: Reference to the Effective Mass Theory.Reference to the Objective Collapse Theory
Description This work develops a phenomenological framework that relates quantum localization to weak-field inertial and gravitational response using scalar “informational load” functionals. The central proposal is that mass-like behavior can be treated as a state-dependent property: more spatially localized quantum states couple more strongly to inertial and gravitational effects than delocalized states. Localization is quantified using standard concentration measures, primarily the inverse participation ratio (IPR). A dimensionless load variable is constructed and mapped to observable effects through a monotonic response function. In the linear (weak-load) regime, this construction reproduces familiar post-Newtonian scaling for time dilation and light propagation, providing consistency with weak-field general relativity. The framework is strictly diagnostic and interpretational. It does not modify Schrödinger or Dirac dynamics, does not introduce new particles or forces, and does not propose a microscopic theory of quantum gravity. Instead, it provides an effective scalar language for organizing how localization may influence inertial and gravitational response. As a simple phenomenological check, atomic ionization energies are used to estimate relative participation factors across different localization regimes. These examples illustrate consistency of the scaling picture rather than serving as precision tests. Scope and status • Valid only in weak-field / post-Newtonian regimes • Coarse-grained and phenomenological • No claims regarding strong gravity or full quantum gravity • Intended as an organizational and interpretive framework Key features • Mass-like response treated as a state-dependent participation factor • Uses established localization diagnostics (IPR) • Introduces only effective response functions • Compatible with standard quantum mechanics and general relativity • Suggests qualitative scaling relations that may be testable in principle Purpose The goal is to provide a compact conceptual bridge between quantum localization and gravitational response, and to encourage discussion of whether weak-field gravitational behavior can be expressed in terms of state-dependent informational or localization measures.
This paper develops the quantum completion of Quantum Vacuum Polarization Gravity (QVP-G) by introducing the Information Resonance Network (IRN) as an underlying quantum substrate. While the macroscopic QVP-G framework describes gravity as an emergent effect of vacuum polarization encoded in a scalar field P(x), the present work provides an ontological and dynamical picture of how quantum states, decoherence, and the Born rule arise from microscopic IRN degrees of freedom. We model the IRN as a many-body quantum system on a graph whose nodes carry localized information degrees of freedom and whose edges encode resonance couplings. Quantum states of matter and of the polarization field are reinterpreted as collective excitation patterns of this network. Within the open-quantum-systems framework, we identify the relevant system–environment split, derive an influence functional for the IRN environment, and obtain effective master equations for macroscopic matter degrees of freedom coupled to the polarization field. In the quasi-static, Markovian regime we show that IRN-induced decoherence rates are governed by a polarization energy functional E_P[Δρ] of the mass-density difference between superposed configurations, leading to scalings of the form Γ_IRN ∝ E_P[Δρ]/ħ. In suitable limits the polarization energy E_P[Δρ] reduces to the gravitational self-energy |E_G[Δρ]|, and the IRN-induced decoherence channel reproduces a Diósi–Penrose-type scaling Γ ∝ |E_G|/ħ as a derived property rather than a phenomenological postulate. We analyse the conditions under which this mechanism can dominate over conventional environmental decoherence, and delineate the parameter range compatible with laboratory interferometry constraints and cosmological observations within the validity of the effective field theory. A detailed case study of the double-slit experiment is presented in the IRN picture. Interference patterns, which-path detection, and measurement outcomes are described in terms of competing IRN branches, each corresponding to macroscopically distinct polarization configurations correlated with different detector states. The Born rule emerges from the combinatorics and relative stability of IRN microstate ensembles under coarse-graining, rather than being imposed as a separate axiom. Classical trajectories, pointer states, and quasi-localized “worlds” appear as robust IRN patterns stabilized by resonance structure and network connectivity. We compare the QVP-G/IRN completion to leading collapse and decoherence models such as the Diósi–Penrose proposal and Continuous Spontaneous Localization (CSL), highlighting similarities in the dependence on gravitational or polarization energies but emphasising the different ontological status of the underlying degrees of freedom. The IRN framework provides a single unified language for modified gravity, decoherence, and quantum foundations, tightly linked to the macroscopic QVP-G phenomenology on galactic and cosmological scales. This quantum-layer preprint is part of a coordinated QVP-G/IRN series: it builds on (i) the core QVP-G effective field theory unifying dark matter and dark energy, (ii) the cosmological background and linear perturbations paper (Boltzmann-code implementation), and (iii) the microscopic mQVP-G papers on gravitational “chemistry” and near-critical MOND behaviour, and provides the quantum completion that connects polarization fields, decoherence, and the structure of quantum theory. The author gratefully acknowledges the use of a novel multi-agent artificial intelligence system based on iterative Socratic dialogue as a conceptual support tool in the development of this work.
Semiclassical gravity, in which a classical spacetime is sourced by the quantum expectation value of the stress-energy tensor, is a standard framework for describing the gravitational interaction of quantum matter. In the nonrelativistic limit this approach leads to the Schrödinger-Newton equation, which is often assumed to be consistent at least in the weak-field regime. In this work, we reexamine this assumption for spatial quantum superpositions of massive particles. We show that, when the quantum state is properly normalized, no modification of the Newtonian gravitational potential arises at leading order. However, at first post-Newtonian order the semiclassical coupling generically produces state-dependent contributions involving the mass density and the mass current of the superposition. These terms have a parametric scaling which is different from that of the corresponding relativistic corrections and which does not have Planck mass suppression. Our results therefore impose a strong post-Newtonian consistency constraint on deterministic semiclassical gravity, indicating that sourcing the metric solely by expectation values is insufficient to recover a consistent relativistic weak-field expansion.
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.
The interaction between quantum matter waves and gravitational fields is a central theme in the quest to reconcile quantum mechanics with general relativity. This paper introduces the concept of a matter‑wave gravity response spectrum (MWGRS), defined as the frequency‑dependent response function χ_g(ω) that quantifies how a matter‑wave state ψ(t) reacts to temporal variations in the gravitational potential. Beginning with the Schrödinger equation in a weakly curved spacetime, we derive the linear response of the wavefunction to small metric perturbations. The response function is obtained by Fourier transforming the time‑dependent phase shift induced by the perturbation. Explicit expressions for a free particle and for a two‑path interferometer are presented, revealing how the MWGRS encodes information about both the intrinsic dynamics of the particle and the geometry of the interferometric paths. We discuss the implications of the MWGRS for upcoming precision gravimetry experiments, including its sensitivity to hypothetical spacetime foam and holographic noise. The paper concludes with a perspective on how measuring χ_g(ω) could provide a new window into the quantum structure of spacetime, potentially guiding the design of future quantum‑gravity experiments.