Two-State Vector Formalism and Emergent Gravity: A Framework for Right-Handed Neutrino Dark Matter

This research paper explores a novel approach to emergent gravity through the lens of the Two-State Vector Formalism (TSVF), providing new insights into the nature of spacetime and its connection to dark matter. Specifically, we investigate how TSVF-based quantum retrocausality can give rise to an effective gravitational framework, leading to a natural emergence of Right-Handed Neutrino (RHN) dark matter. Our study develops a mathematical model demonstrating how RHNs can be dynamically generated within the emergent gravity paradigm, offering a compelling alternative to conventional dark matter theories. The implications of this framework are examined in both theoretical and phenomenological contexts, with potential testable signatures in astrophysical and cosmological observations. This work contributes to the ongoing discourse on quantum foundations, gravitational emergence, and dark matter candidates, with possible connections to quantum gravity, nonlocality, and the holographic principle.