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This treatise proposes a rigorous epistemological deconstruction of linear and entropic cosmological models in contemporary physics (such as the Standard Model and Lambda-CDM framework), introducing the axiomatic paradigm of the Perennial Entity. Utilizing Pure Logic and structural Quantum Chromodynamics (QCD), the work demonstrates the theoretical inconsistencies behind the concepts of an initial singularity (Big Bang), temporal creation, and the thermal death of the universe. Matter (m) is redefined as the stationary, invariant condition of Energy, operating as the absolute hardware of the cosmos.

The core of the research investigates the quantitative subatomic structure of nucleons. Highlighting that approximately 99% of hadronic mass is emergently generated by the relativistic kinetic energy of quarks and gluonic field binding energy, the study formalizes the Equation of the Entity. This invariant state is defined by the simultaneous and achronic coexistence of three fundamental vectors: the Neutron (Substantial State), the Proton (Dynamic Vector), and the Compensatory Resonance (Law of Stability).

Consequently, the conventional dualism between the organic and inorganic worlds is dismantled and structurally resolved through a scale-invariant Fractional Helicoidal Topology. Within this geometric infrastructure, gravity is reinterpreted as a centripetal resonance pressure, and biological cessation (death) is reduced to a pure Phase Modulation. In this process, fundamental constituents modify their radius of curvature, retrogressing from the Wide Loop (organic) to the Narrow Loop (mineral) without undergoing any quantitative alteration. The treatise concludes by establishing the algebraic impossibility of nothingness, positioning structural eternity as the sole operational condition of the Entity.