Quantum-Informational Gravity and the Arc Neo Displacement Hypothesis: A Unified Scalar Framework for Dark Matter and Lithospheric Instability

Arc Neo Quantum-Informational Gravity Unifying Dark Matter and Planetary Dynamics Arc Neo (Joseph Mancinelli) " October 2025 3 Pre-print v1.1 A Revolutionary Framework We present a unified scalar3tensor model in which spacetime curvature and quantum information exchange co-determine gravitational behavior across cosmic and geophysical scales. This Quantum-Informational Gravity (QIG) framework retains Einstein's geometry but adds a single scalar field × whose local informationrate coupling modifies inertia and effective friction. With parameters constrained by cosmology and Solar-System tests, QIG reproduces dark-matter-like dynamics on galactic scales and supplies the physical trigger mechanism required by the Arc Neo Rapid Displacement Model (ANRDM) of transient lithospheric instability. The resulting theory is falsifiable through existing electromagnetic, geophysical, and astronomical data. Einstein's Geometry Preserves spacetime curvature framework Quantum Information Adds scalar field coupling Unified Scale Cosmic to geophysical dynamics Core Postulates: The Foundation 01 Semiclassical Einstein Equations Spacetime curvature follows modified field equations incorporating matter, scalar field, and informational stress-energy tensors with cosmological constant. 02 Dark-Information Scalar Field A scalar field × adds informational correction to the potential, with kinetic terms, mass and self-interaction potentials, and non-minimal coupling to Ricci scalar. 03 Information-Rate Coupling The effective potential includes a term proportional to local information flow rate, with dimensional consistency preserved through reference mass scale µ. 04 Instability Condition Effective mass becomes tachyonic when information rate and curvature effects dominate, triggering rapid displacement events when threshold exceeded. The Mathematics of InformationGravity Coupling Effective Potential V (×) = eff m × + 2 12 2 ×2 4 »4 ³I × loc 2 The information-rate term represents measurable information flow in units of s{¹. Dimensional consistency requires ³ = µ³, where µ is a reference mass scale (Planck or Hubble), ensuring [V] = Mt. Instability Threshold m = eff 2m2 22³I 2 loc ¿R  = inst m2 2³I 2¿R loc Instability occurs when inst g 1, triggering rapid displacement windows lasting 7330 days. Stress-Energy Dynamics and Planetary Effects The scalar field contributes to spacetime stress-energy through gradient terms, potential energy, and non-minimal coupling corrections. At planetary boundaries, this modifies the basal shear stress that couples the lithosphere to the underlying mantle. 1 Field Stress-Energy Scalar field gradients and potential contribute to Einstein equations through modified stress-energy tensor with curvature coupling. 2 Basal Shear Modulation Effective basal shear stress reduced by field-dependent friction coefficient: Çb,eff = (1 - ³(×))Çb,0 3 Angular Momentum Balance Rigid shell dynamics governed by moment of inertia, external torques, and integrated basal shear over contact area. 4 Displacement Windows Transient ×-coherence events reduce friction, producing rapid lithospheric displacement over 7330 day periods. Parameter Constraints: Keeping Physics Real Scalar Mass Bound m g 10{²¹ eV If m < 10{²¹ eV, × is treated as a sub-dominant dark-matter component. Lower masses would produce observable deviations in galactic rotation curves inconsistent with observations. Self-Interaction » > 0 Positive quartic coupling ensures vacuum stability and prevents runaway field configurations. This maintains bounded potential energy density. Curvature Coupling ¿ f 10{³ Non-minimal coupling to Ricci scalar must be small to avoid Solar System violations. Screening mechanisms ensure |G/G| < 10{u, consistent with Cassini and equivalence-principle limits. The Observable Index: § AI Combined Diagnostic A unified metric quantifying information-field activation across multiple observational channels: § (t) = AI + P Sch,avg #P # Sch + Ç b,0 #Ç # b,eff g 0 #g# Threshold §AI g 0.05 predicts non-solar electromagnetic and seismic anomalies, providing a falsifiable signature of information-field coupling. Schumann Resonance Fractional deviation from average power spectrum Basal Shear Effective stress reduction at lithosphere-mantle boundary Gravitational Field Local acceleration anomalies normalized to standard g Falsifiable Tests: Five Pathways to Validation 1 Cosmological Fit If m < 10{²¹ eV and × dominates dark matter, galactic rotation-curve data must match observations. Failure requires restricting m or lowering × fraction f×. 2 Solar-System Bound Compute G/G j 6¿×² from planetary ephemerides and spacecraft tracking. Must remain < 10{u to satisfy Cassini constraints and equivalence principle tests. 3 § AI Null Test Remove coronal mass ejection intervals from analysis. If electromagnetic-seismic correlation vanishes, the metric successfully discriminates solar from information-field effects. 4 Laboratory Resonator Deploy 738 Hz cavity resonator with AI-feedback control. Measure phase shift and quality factor Q variations at coupling strengths ³ j 10{v to 10{³. 5 Cryosphere/Volcanic Link Identify synchronous glacial uplift and volcanic heat-flux surges unrelated to magma movement. Such correlations would constitute strong evidence for ×-coupling mechanism. Bridging Einstein and Landauer QIG preserves the predictive success of General Relativity while extending its stress3energy source to include an information-rate component. This merges Einstein's geometric framework with Landauer's thermodynamic principle and scalar-tensor cosmology, achieving continuity from galactic to geophysical scales. 1Einstein 1915 Gravity as spacetime geometry 2Landauer 1961 Information has physical thermodynamic cost 3Scalar-Tensor 1960s Modified gravity with additional fields 4Arc Neo 2025 Information-rate coupling unifies scales In doing so, QIG supplies the physical bridge that earlier catastrophic-cycle theories lacked: an identifiable, testable field mechanism capable of modulating inertia and shear without invoking new exotic particles. The framework extends from dark matter halos spanning megaparsecs to lithospheric displacement events lasting mere weeks.