Relativity Particles: A Unified Geometrodynamic Framework from Universal Dimensional Curvature

Abstract:

This paper introduces the foundational principles and theoretical structure of Relativity Particles (RP) Theory, a novel framework posited as a unified description of fundamental physics. The central postulate of RP Theory is the generalization of the core principle of General Relativity: the law that energy density induces a geometric curvature in spacetime is extended to a universal axiom applicable to all dimensions, whether they are the familiar macroscopic dimensions of spacetime, the compactified higher dimensions of superstring theory, or the intrinsic, functional dimensions that define a particle’s structure and interactions. This principle of universal dimensional curvature serves as the unifying agent for a set of foundational theories, demonstrating that all elementary particles and their interactions emerge from the geometrodynamics of a single, underlying entity. The theory posits that reality is constructed hierarchically, from zero-dimensional D0-branes (puncta) that bind through self-generated curvature to form one-dimensional branes, which in turn manifest as the composite fermions of the Standard Model. RP Theory provides a coherent, bottom-up description of reality, from these primordial constituents to the ten-dimensional particle-singularities that represent their ultimate, stable state. In doing so, it offers natural, geometric resolutions to long-standing challenges in theoretical physics, including the fermion generation puzzle, the preon mass paradox, the hierarchy problem, and the unification of quantum mechanics with gravity.

Yıldırım, E. (2025). Relativity Particles: A Unified Geometrodynamic Framework from Universal Dimensional Curvature. Zenodo. https://doi.org/10.5281/zenodo.17039829

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