スケール依存の次元性と局所スクリーニングおよび現れた現象

Key Points

• This research aims to explore how a dynamic parameter affects the dimensionality of spacetime under different conditions.
• Proposed a dynamic parameter γ(x, t) that varies with scale and density.
• Developed a model using a density-dependent measure v(ρel) in the action.
• Analyzed implications on Friedmann equations and fractional quantum mechanics.
• In high-density regions, γ is screened to around 1, aligning with standard quantum mechanics and general relativity.
• In low-density environments, γ approaches approximately 1.10, indicating effective dimensionality of about 4.1 and emergent dark energy.
• The model is consistent with current precision constraints and presents falsifiable predictions for future experiments.

Abstract