Fractal Holographic Emergent String Theory (FHEST) PART F Mathematical Foundations of Fractal Covariant Derivatives and Curvature Tensors and Their Physical Applications
Listed in
This article is not in any list yet, why not save it to one of your lists.Abstract
is paper delves into the mathematical foundations of fractal covariant deriva?tives and curvature tensors and their applications in physics. By introducing fractalmeasures and non-commutative geometry, we rigorously define covariant derivativesand curvature tensors on fractal manifolds and analyze their applications in quan?tum gravity, high-energy physics, and cosmology. We propose new theories such asfractal AdS/CFT duality, fractal black hole entropy corrections, and fractal gravi?tational wave spectrum modifications, and validate the feasibility of these theoriesthrough numerical simulations and experimental verification. This research pro?vides a solid mathematical foundation for the application of fractal geometry inphysics and points the way for future interdisciplinary research.
