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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
Open Science Framework
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Quantum Gravity Dynamics: Dark Matter and Dark energy from Quantum Gravity in Dirac Spinor Fields deriving General Relativity

Authors: Matshaba, Romeo;

Quantum Gravity Dynamics: Dark Matter and Dark energy from Quantum Gravity in Dirac Spinor Fields deriving General Relativity

Abstract

We present Quantum Gravity Dynamics (QGD), deriving classical gravity from quantum wavefunction structure in flat Minkowski spacetime. Core formalism: Bridge equation |ψ|²=C/|p| connects quantum amplitude to classical momentum. All stress-energy (mass ρ, pressure P, angular momentum J, EM field F, Λ) enters unified denominator Δ = E + mc² + ∫ρc²dV - ∫PdV - J²/(2mr²) + V_EM + ρ_Λ. Complete wavefunction: ψ = (GMm/ℏc)[ψ₀,ψ₁,ψ₂,ψ₃] with graviton scalars σ_μ = p_μc/Δ. Master equation: g_μν = T^α_μ T^β_ν [M_αβ ∘ (η_αβ - Σ_a ε_a σ^(a)_α σ^(a)_β - κℓ_Q² ∂σ²)] Universal forms:- Schwarzschild: σ_r = √(2GM/c²r)- Kerr: σ_φ = a·sin(θ)√(2Mr/Σ)- RN: -GQ²/c⁴r² term- SdS: +Λr²/3 term- FLRW: H²r² cosmology- Wormholes: +b(r)/r Dark matter prediction: Factorial κ-factors κ_j=√[(2j-1)!/2^(2j-2)] = [1.00, 1.225, 2.74, 8.87, 37.7, 197,...] explain rotation curves. R²=0.908 across 4,248 measurements, zero free parameters per galaxy. Energy localization: ρ_grav(x) = ½(∂σ)² manifestly positive, resolves GR pseudotensor problem. Key results: (1) Newton's F=GMm/r² from phase e^(2ipr/ℏ), determines k=GMm/ℏc. and higher order terms (2) All EFE solutions from master equation. (3) Quantum corrections prevent singularities. (4) Dark matter = gravitational self-energy Q_μ. (5) Positive energy trivial. (6) Two body problem analytical solution (6) three body problem calculable in QGD (7) higher order quantum effects of Hawking temperature (8) dark energy naturally emerges from Quantum gravity Testable: rotation κ-scaling, CMB peaks (κ₄=8.87), wide binary 15% deviation, GW self-interaction. Keywords: quantum gravity, emergent spacetime, dark matter, rotation curves, MOND, Dirac spinor, gravitational energy, master equation, factorial enhancement

Keywords

flat spacetime gravity, Energy problem in General Relativity, quantum gravity, general relativity alternatives, exact solution two body problem, dark energy, computable three body problem, dark matter

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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