Oscillatory Universe Model through Subquantum Informational Mechanics_NMSI

Abstract This paper presents a rigorous mathematical formalization of the Oscillatory Universe Model, founded on the New Subquantum Informational Mechanics (NMSI). The model proposes a non- expanding, infinite Universe structured through coherent oscillatory phases, wherein phase transitions emerge as observable limits — such as the 13.8 billion light-years boundary identified in the standard cosmological model. We reinterpret this boundary not as a temporal limit since the Big Bang, but as a resonance-based phase interface within an eternal Universe. Using symbolic and analytical methods, we derive gradient functions of the oscillatory potential (ϕ), define the subquantum transition zone, and construct a consistent framework of gravitational lensing as an effect of oscillatory interference rather than spacetime curvature. The results suggest a reevaluation of cosmological redshift, cosmic microwave background, and the apparent expansion, all as emergent phenomena rooted in oscillatory coherence and antifase interactions. This paper aims to ground the NMSI cosmological model in a fully demonstrable, predictive mathematical structure, while providing a novel interpretation of observational astrophysical data.