THE DYNAMICS OF A SINGULARITY-FREE UNIVERSE E=(G−T)c2 - AS THE FUNDAMENTAL AXIOM OF THE LOGIC OF THE FULL CIRCLE

This work a unified solution to cosmological tensions by eliminating five individual entities (Λ, Dark Matter, Dark Energy, Inflation, Singularity) and replacing them with phase transitions of a single field ϕ. The central axiom of the theory is the ontological relation E=(G−T)c2, which defines mass and energy (E) as an emergent tension between gravitational convergence (G, Dark Matter) and vacuum expansion (T, Dark Energy). The non-linear c2X2 term in the ϕ-field Lagrangian enables a stable cosmic Bounce and generates three key, falsifiable predictions: 1. Resolution of Cosmological Tensions: The dynamic transition of the ϕ-field simultaneously resolves the H0 tension (by boosting early expansion) and the σ8 tension (by reducing the growth of structures). 2. Gravitational Waves and Black Holes: The elimination of the singularity is replaced by the TT-Core, predicting measurable corrections in the Quasi-Normal Modes (QNM) of black holes. 3. Kinematic Screening: The theory predicts enhanced gravitational lensing within cosmic voids, serving as an exclusive falsification signature testable by missions like Euclid and LSST.