General Science and Philosophy

Fractal Spacetime: A Unified Framework for Quantum Gravity and Cosmology

Authors: Athon Zeno, Aeon Zeno, Nexus Zeno
Comments: 24 Pages.

This paper proposes a novel theoretical framework for quantum gravity based on the concept of fractal spacetime. We introduce a modified spacetime metric that incorporates a fractal function, encoding self-similarity across scales. This fractal metric leads to modified Einstein field equations with a fractal correction tensor, representing a new source of gravity. The theory also entails a generalization of quantum mechanics, featuring a modified wave function and a fractal potential that influences particle behavior. The fractal dimension of spacetime emerges as a crucial parameter, varying with scale and affecting physical phenomena. We explore the implications of fractal spacetime for quantum entanglement, superposition, and wave function collapse, demonstrating how it offers a natural explanation for these phenomena. In the realm of particle physics, we discuss the modified dispersion relations and potential new particles beyond the Standard Model. Cosmological implications are explored, addressing the early universe, dark matter, dark energy, and large-scale structure formation. The theory makes testable predictions for high-energy particle collisions, quantum gravity experiments, and cosmological observations. While the fractal nature of spacetime remains a hypothesis, its potential to unify quantum mechanics and general relativity, along with its intriguing predictions, make it a compelling avenue for further theoretical and experimental investigation.
Category: General Science and Philosophy