Mathematics & Nature 2021

Publication Preface: The Author's Journey of Four Decades of Independent Research in Mathematics and Theoretical PhysicsThis preface formally introduces and contextualizes the inaugural volume of the "Mathematics & Nature" series, a collection that presents groundbreaking discoveries made over forty years of independent, non-mainstream research.Content Overview: The document recounts the author's intellectual journey since the early 1980s, detailing the independent discovery of nearly a hundred mathematical theorems and pivotal theoretical physics principles. It outlines the core motivation behind the "Mathematics & Nature" project: to systematically publish these findings directly to the public, circumventing the documented systemic barriers and editorial biases encountered in traditional and international academic publishing channels.Key Themes & Discoveries: The preface critically examines foundational issues in modern physics, including the logical circularity in special relativity, the mathematical inconsistencies in quantum mechanics (introducing the alternative "Com Quantum Theory"), and specific analyses questioning the interpretation of LIGO's gravitational wave data. It also highlights revised laws in molecular dynamics and angular motion.Publication Context: This preface itself stands as a primary source document, explaining why the accompanying research is being disseminated via this open platform rather than through conventional journals. It discusses the broader implications of academic gatekeeping and articulates a vision for the preservation and rediscovery of scientific ideas across centuries.For Researchers: This record provides essential background for understanding the "Mathematics & Nature" series. It is intended for scholars, historians of science, and anyone interested in the sociology of knowledge, frontier theoretical physics, and the perseverance of independent scientific inquiry.