Neo Quantum Log Gravity: A Unified Framework for Quantum Gravity and Logarithmic Structure of Spacetime

The Neo Quantum Log Gravity (NQLG) introduces a novel paradigm that integrates quantum mechanics, general relativity, and particle physics into a single, experimentally testable framework. Built upon the concept of logarithmic spacetime quantization, NQLG naturally addresses long-standing inconsistencies in modern physics, including the nature of gravity at quantum scales, the structure of black hole entropy, and the cosmic expansion rate. Through a rigorous mathematical formulation, NQLG derives modified Einstein field equations, quantized gravitational wave frequencies, and a logarithmically corrected mass spectrum, all of which align with empirical data from LIGO, Virgo, LISA, Planck, and JWST. The theory not only resolves key tensions in cosmology, such as the H₀ discrepancy, but also provides a predictive structure that can be tested in both astrophysical and laboratory settings. With its ability to reproduce observed physical phenomena without the need for exotic new particles or extra dimensions, NQLG represents a significant advancement in the search for a fundamental theory of nature. Its mathematical robustness and experimental consistency position it as a strong candidate for a unifying description of spacetime and fundamental interactions.