New Perspective on the Consistency of Quantum Gravity and General Relativity at Small Scales: The Theory of Dynamic Rigid Fractal Spacetime Manifolds

  1. changzheng zhou
  2. ZIQING zhou
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Abstract

The unification of general relativity (GR) and quantum mechanics(QM) in modern physics has been hindered by the challenges of recon?ciling background independence with quantum fluctuations. This pa?per proposes the theory of Dynamic Rigid Fractal Spacetime Manifolds(DRFST), based on non-commutative geometry and fractal measures.By introducing a dynamic regulation mechanism for the Hausdorff di?mension of fractal manifolds, this framework preserves the differentialgeometric foundation of general relativity while enabling the couplingof quantum fluctuations with spacetime geometry. The theory demon?strates:

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  1. Version published to 10.31219/osf.io/962t4_v1 on OSF Preprints