The Breathing Universe: 106Unified Energetics

This paper develops a unified structural description of energy within the Breathing Universe framework. In this approach, energy is not treated as a fundamental conserved substance but as an emergent measure of vacuum-tension imbalance within a structured dynamical medium. The physical vacuum is characterized by complementary contributions whose imbalance is expressed by a scalar quantity H, defined schematically as H = Hₚlus − Hₘinus. The central result of the analysis is the formulation of a unified energetic relation of the form E = H A, where A is a regulator that depends on the physical regime under consideration. This relation provides a common structural origin for distinct energetic expressions across different domains of physics. In rotational and wave-like regimes, the regulator is associated with a characteristic frequency, yielding E = H Omega. In inertial regimes, the regulator corresponds to mass-like resistance, leading to E = m H. In the relativistic limit, where the vacuum-tension parameter approaches a constant value H → c², the standard relation E = m c² is recovered as a special case of the unified expression. The framework demonstrates that apparently different energy concepts arise from the same underlying structural relation, with differences determined by the regime-dependent form of the regulator A. This interpretation provides a consistent way to connect wave, particle, and relativistic descriptions without introducing separate fundamental definitions of energy. The analysis further clarifies that energy becomes physically meaningful only after the emergence of ordered coherence, where time, measurement, and persistence are defined. In this sense, energy is not a primitive input but a derived quantity reflecting the dynamical state of the vacuum. The results establish unified energetics as a key organizing principle of the Breathing Universe Model, linking vacuum dynamics, coherence structure, and effective physical laws within a single relational framework.