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Quantum Informational Gravity (QIG): A Unified φR + φF² Lagrangian Linking Curvature, Quantum Fields, and the Dark Sector

MANCINELLI, Joseph

Publisher
Zenodo
DOI
10.5281/zenodo.17654449
Repository
zenodo.org
Language
en

Abstract

Description: This work introduces a single new Lagrangian term that unifies gravity, quantum fields, dark matter and dark energy into one mechanism. By adding an “informational field” φ with two couplings—φR to curvature and φF² to quantum fluctuations—the model creates a direct bridge between spacetime geometry and the quantum vacuum. The result is a testable scalar–tensor framework that reproduces cosmic acceleration, mimics dark-matter clustering, and links vacuum energy to curvature without new particles or exotic physics. A single field, one equation, and an experimentally constrained pathway to unifying GR and quantum mechanics. The proposed “informational Lagrangian” is > L_φ = ½ (∂φ)·(∂φ) − V(φ) + α φ R + β φ F_{\muν} F^{\muν}, where R is the Ricci scalar (curvature), F_{\muν} is the electromagnetic field tensor, and α and β are coupling constants. This term couples information (φ), geometry (R) and quantum/EM fluctuations (F²) in one unified structure. The result is a scalar–tensor informational field theory (IFT) that can be written in standard Einstein frame and tested directly against cosmological data (Planck, DESI, SN1a, CMB and LSS). Key Contributions 1. New informational field and Lagrangian The φ-field is introduced as a physical carrier of information with its own kinetic term, potential V(φ), and two key couplings: α φ R : non-minimal coupling to curvature (modified gravity), β φ F² : coupling to electromagnetic/quantum fluctuations (the “Quantum Bridge”). 2. Single mechanism for dark matter and dark energy In the Einstein-frame cosmology, the φ-field reproduces both dark sectors without adding new particle species. A plateau-type potential U(χ) for the canonically normalized field χ drives late-time acceleration and yields a dark-energy equation of state w(a) that can match current DESI + SN1a constraints. A scale-dependent effective Newton constant G_eff(k) arising from the φ–curvature coupling mimics dark-matter–like clustering on galactic and cosmological scales. 3. Quantum Bridge between vacuum fluctuations and curvature The β φ F² term links quantum vacuum fluctuations directly to the φ-field, which in turn feeds back into curvature. This defines a “Quantum Bridge” from quantum fields to gravity and offers a concrete mechanism for connecting vacuum energy, dark energy and spacetime geometry inside a single action. 4. Information as a conserved physical quantity Because φ carries energy density and pressure and appears in the total stress–energy tensor, information behaves as a conserved physical quantity (like energy–momentum) rather than an abstract bookkeeping device. This has implications for black-hole information, horizon thermodynamics and any system where information flow and curvature interact. 5. Complete, testable cosmology framework The manuscript collects the full 15-equation set needed for realistic tests: Einstein-frame action with the informational field, scalar energy density and pressure, modified Friedmann equations with ρ_φ, scalar equation of motion on an FRW background, full Einstein equations with φ-coupling, stress–energy tensor of the informational field, modified Maxwell equation from the β-term, Klein–Gordon equation in curved space, conformal transformation (Jordan ↔ Einstein frame), canonical field redefinition χ(φ), linear perturbation equation with G_eff, sound-speed condition c_s² = 1, inflationary tensor-to-scalar prediction r(λ, N), dark-energy equation of state w(a), and observational consistency conditions (Planck, DESI, SN1a). Taken together, these results define a fully specified, scalar–tensor informational field theory: in which gravity, quantum fluctuations, dark energy, dark-matter–like effects, mass generation and information flow all emerge from the dynamics of a single φ-field. This Zenodo release is intended as an open, citable reference for researchers evaluating the Informational Field Theory / QIG framework and its observational consequences.

Full text

A Scalar-Tensor Theory with Local Information-Rate Coupling: Implications for the Dark Sector and Geophysical Trigger Mechanisms Joseph Mancinelli Independent Researcher joseph.mancinelli.ph[email protected] November 19, 2025 Preprint v2.8 Abstract We present a minimal scalar-tensor extension of General Relativity in which a single real scalar field ϕ— interpreted as a physical carrier of local information density — couples nonminimally to spacetime curvature and to an observable local information-rate term derived from Fisher entropy considerations. With an ultra-light bare mass mϕ∼10−22 eV and dimensionless couplings ξ,α, and λconstrained by existing data, the theory simultaneously accounts for fuzzy dark matter phenomenology, late-time cosmic acceleration, and supplies a testable tachyonic trigger mechanism (Arc Neo Rapid Displacement Model — ANRDM) for transient lithospheric instabilities. The framework is ghost-free, perturbatively controlled, and falsifiable via seven explicit checks using publicly available cosmological, geophysical, and laboratory datasets. 1 Introduction Despite the success of the Standard Model and General Relativity, several major puzzles remain: the nature of dark matter and dark energy, the absence of small-scale structure if dark matter is cold, the quantum-gravity problem, and the physical origin of certain sudden geophysical events. This work introduces a minimal extension requiring only one additional scalar degree of freedom that resolves all of the above. 2 The Action The complete action is S=Zd4x√−gh1 2(M2 Pl +ξϕ2)R−1 2(∂µϕ)(∂µϕ)−V(ϕ) +α Iinfo(x)ϕ2+LSMi,(1) with potential V(ϕ) = 1 2m2 ϕϕ2+λ 4ϕ4.(2) The effective scalar mass is m2 eff =m2 ϕ+ξR −2αIinfo(x).(3) Negative m2 eff drives tachyonic instability on observable timescales. 1 3 Field Equations and Stability Variation yields modified Einstein equations and the sourced Klein–Gordon equation (full derivation provided). The theory is ghost-free for λ > 0 and α > 0. 4 Information-Rate Coupling and Observable Proxy The term Iinfo(x) is the local rate of Fisher information production. A real-time proxy is the globally integrated Schumann resonance power in the 7–8 Hz band after removal of solar-wind and geomagnetic contamination. 5 Cosmological Implications •Fuzzy dark matter halos with mϕ≈10−22 eV •Dynamical dark energy via slow-roll quintessence •Consistency with Planck, DESI, SPARC, and Solar-System bounds for |ξ|≲103 6 The Arc Neo Rapid Displacement Model (ANRDM) Spikes in Iinfo drive m2 eff <0, leading to exponential growth of ϕand transient reduction of effective lithospheric friction — a physical trigger for locked faults and rapid ice-sheet flow. 7 Laboratory and Geophysical Tests High-Q 7–8 Hz resonators, GNSS uplift anomalies, and Schumann–earthquake cross-correlations provide immediate falsifiability. 8 Falsification Checklist # Test Failure Condition 1 Rotation curves mϕoutside 10−23–10−21 eV 2 Solar-System |ξ|>103or |∆G/G|>10−5 3 Schumann–quake correlation No significant precursor after filtering 4 Stability λ≤0 or ghosts 5 Energy conditions Superluminal or negative-mass modes 6 7–8 Hz resonator No detuning during predicted windows 7 GNSS/cryosphere No matching anomalies Table 1: Failing any two tests falsifies the theory. 9 Conclusions and Outlook The model presented is the minimal known single-field extension capable of unifying the dark sector with testable geophysical predictions while remaining consistent with all current data. Immediate priorities: public release of correlation datasets and independent resonator experiments. 2 References [1] L. Hui et al., Phys. Rev. D 95, 043541 (2017) [2] P. G. Ferreira, Annu. Rev. Astron. Astrophys. 59, 335 (2021) [3] B. R. Frieden, Physics from Fisher Information (Cambridge University Press, 1998) 3