A Graviton Model Based on Transient Annihilation and Regeneration of Positron Pairs

This paper introduces a hypothetical model that explores the instantaneous annihilation and regeneration of transient positron pairs within the Planck time frame. These virtual particles are posited as potential analogues or substitutes for gravitons, which remain elusive in quantum gravity theories. Utilizing complex scalar field theory, the paper constructs a mathematical framework that captures the rapid density fluctuations experienced by these particles. Through theoretical derivations and conceptual analyses, the proposed model examines the dynamics of these fleeting entities on the Planck scale and their implications for gravitational phenomena. In addition, the model may offer new insights into electromagnetic interactions by simulating the instantaneous annihilation and regeneration of positron pairs. Although grounded in speculation and not verifiable by current experiments, this study broadens the theoretical landscape by providing a novel approach to quantum gravity and opens avenues for future research. Its relevance to cosmology, particle physics, and electromagnetism is underscored, laying a theoretical foundation for potential experimental tests.