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The Kingwheel Theory: Decoherence as the Universal Substrate of Reality

Dominik, Matthew

Abstract

This paper proposes that spacetime curvature emerges from spatial variations in quantum entanglement density rather than from a fundamental gravitational field. General Relativity is recovered as the uniform-entanglement limit, while decoherence acts as the bridge between microscopic quantum randomness and macroscopic geometry. The work introduces the Kingwheel tensor relation ϕ₍μνλ₎ = ∇₍μ₎E₍νλ₎ − ∇₍ν₎E₍μλ₎ + Λ₍μνλ₎ and outlines five testable predictions involving lensing, galaxy rotation curves, and interferometric phase shifts.Licensed under CC BY-NC 4.0.

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TheKingwheelTheory:DecoherenceastheUniversal SubstrateofReality MatthewDominik(HollisBlack) October2025 ©2025MatthewDominik(HollisBlack).LicensedunderCreativeCommons Attribution-NonCommercial4.0International(CCBY-NC4.0) Abstract Aquarterofthewayintothe21stcentury,physicistsstillfaceaprofounddissonance: EinsteinsGeneralRelativityandQuantumMechanicsremainmathematicallyirreconcilable. KingwheelTheoryproposesthatspacetimecurvaturearisesfromspatialvariationsinthe densityofquantumentanglementratherthanfromafundamentalgravitationalfield.General Relativity(GR)emergesasalimitofuniformentanglement,whiledecoherenceactsasthe bridgebetweenmicroscopicquantumrandomnessandmacroscopicgeometry.Theframework isfalsifiablethroughmeasurablelensing,rotation-curve,andinterferometricdeviationsonthe orderofafewpercent. 1.Background ExistingunificationattemptsStringTheory,LoopQuantumGravity,Modified Gravityeitherdependonuntestedconstructsorfailtoreproduceobserveddatawithout ad-hocparameters.KingwheelTheoryreframestheproblem:GRisemergentand branch-specific,whileQuantumMechanics(QM)isfundamental.Decoherencethelossof quantumcoherencedrivesthemanifestationofspacetimegeometry. 2.ConceptualModel Entanglementnetworksformthesubstrateofreality.Whencoherenceisperfect,thereisno curvature;whendecoherencegradientsappear,geometry'buckles,'givingrisetowhatwe perceiveasgravity.Spacetimeisthereforeanemergentstatisticalmanifoldparameterizedby localentanglementlengthLE(x). 3.MathematicalFramework LetC(x,y)beatwo-pointentanglementcorrelator:C(x,y)e^{-¦x−y¦/LE(x)},with φ(x)=lnLE(x).Thephysicalmetricisaconformaldeformationofareferencemetricg₀: gμν=e^{2αφ}g₀μν Curvaturegainsanentanglement-stresssourceΣμν: Gμν+Λeffgμν=κTμν+a∇μ∇νφ−bgμν□φ+c∇μφ∇νφ−d gμν(∇φ)² TheentanglementfieldevolveswithlocaldecoherencerateΓ(x): □φ−m²φ=−ηΓ(x)+ξI[C] Whenφisuniform,GRisexactlyrecovered. Intensor-indexform,theKingwheelrelationcanalsobewrittenas: μνλ=∇μ(Eνλ)−∇ν(Eμλ)+Λμνλ whereμνλrepresentsthecurvaturefieldemergingfromtheentanglementdensitytensor Eνλ,andΛμνλencodesdecoherencecontributionsthatmediatebetweenmicrostate collapseandmacrostatecurvaturemanifestation. 4.TestablePredictions 1.Void-lensingexcess:+3‒8%at1.5‒3RvoidrelativetoΛCDM. 2.Galaxyrotationcurves:higherstar-formation-rategalaxiesshouldshowflatterouterslopes (Δslope0.04‒0.07). 3.Gravitationallenses:low-noiseenvironmentsyield2‒5%largerEinsteinradii. 4.CMBanisotropy:residualmodulationconsistentwithφ-fieldfluctuations. 5.Laboratoryinterferometers:phaseshiftsscalingwithenvironmentalnoise (decoherence‒gravitycoupling). 5.FalsifiabilityandConstraints Thetheoryprohibitsfaster-than-lightsignalingandrequiresalleffectstoremainwithinafew percenttomatchprecisiontestsofGeneralRelativity.Energy‒momentumconservationmust hold.KingwheelTheoryisfalsifiedifpredictedcorrelationssuchastherelationshipbetween starformationrateandrotationcurveslopeareabsent. 6.PhilosophicalFraming KingwheelTheorydoesnotattemptabrutemathematicalmergerofGRandQMbutoffersan explanationforwhysuchamergerfails.GRemergesfromdecoherencethe'noise'layerof theuniversewhileQMremainsthebaseinformationalorder,thewheelbeneathallforces.In thisview,realityitselfisadistributedcoherenceenginewhoseimperfectionsgiveriseto measurablestructureandmotion. 7.NextSteps FutureworkincludesrunningnumericaltoymodelslinkingΓ(x)gradientstocurvature emergence,publishingapreprint(ZenodoDOI+Substacksummary),andseekingpeer feedbackfromtheoreticalphysicists.Observationalvalidationwillfocusonlensing asymmetries,galaxyrotationcurveslopes,andinterferometricphase-shiftdata. References (Tobecompleteduponcitationofrelatedworksindecoherencegravity,entanglementfield theory,andquantumgeometry.) ThisworkislicensedundertheCreativeCommonsAttribution-NonCommercial4.0 InternationalLicense.Toviewacopyofthislicense,visit https://creativecommons.org/licenses/by-nc/4.0/.