Ultra-High Energy Cosmic Rays as Signatures of Traversable Wormholes and Deformed Lorentz Invariance in the SV0 Framework

Abstract:The observation of Ultra-High Energy Cosmic Rays (UHECRs) with energies exceeding 10²⁰ eV poses a dual challenge: identifying astrophysical sources capable of accelerating particles to such extreme energies, and explaining how these particles survive the Greisen-Zatsepin-Kuzmin (GZK) cutoff. In this paper (Paper XXXIV of the SV0 series), we propose a unified resolution within the Signed-Volume (SV0) framework. We show that microscopic traversable wormholes (Paper XVIII), stabilized by the negative-volume sector V_B, can act as natural particle accelerators via a gravitational slingshot mechanism in their throats. Furthermore, we demonstrate that the Deformed Special Relativity (DSR) dispersion relation (Paper XXI) modifies the kinematics of UHECRs, effectively raising the GZK threshold. We calculate the modified pion production cross-section and show that protons with energies up to 10²¹ eV can propagate over cosmological distances. This makes UHECRs a direct, observable signature of the SV0 spacetime topology. Keywords:Ultra-High Energy Cosmic Rays; GZK Cutoff; Traversable Wormholes; Deformed Special Relativity; SV0 Theory; Spacetime Quanta; Astrophysics.