Yuanji Field Theory: Self-Consistent Picture of the Full Evolutionary Cycle of the Universe

This final paper of the Yuanji Field Theory series constructs a complete, self-consistent picture of the universe’s full evolutionary cycle—from initial state, structure formation, to collapse and cyclic restart—based solely on four fundamental axioms, without any ad hoc assumptions. The Yuanji Field is the sole physical ontology: a linear elastic transverse wave medium whose inherent extensibility constitutes static three‑dimensional Euclidean space. Building on previously derived theorems (topological baryons, phase‑synchronization gravity, photon annihilation, and endogenous relativistic/quantum effects), this work proves that three‑dimensional space is uniquely required for stable matter and cosmic evolution. It presents a global coherent resonant detonation mechanism for the universe’s birth from a prior‑cycle “global primordial black hole”, defines an endogenous proper time, and derives the staged temperature evolution in static space. Spontaneous chiral symmetry breaking explains baryon‑antibaryon asymmetry. Quantitative derivation of the 10.1% baryon fraction and the shunt evolution of baryons, dark matter (as a long‑range coherent non‑topological condensate), and vacuum background yields primordial light‑element abundances consistent with observations, addressing the lithium problem. A complete classical black‑hole picture emerges, including formation channels, a singularity‑free three‑layer structure, and a rigorous derivation of Hawking radiation as pure thermal emission from internal chaotic fluctuations, resolving the information‑loss paradox. Core cosmological observations—CMB, Type Ia supernovae (via photon annihilation, offering a dark‑energy alternative and resolving the Hubble tension), and quasar lensing—receive unified explanations. The universe ends in globally uniform, stable collapse, forming a new global primordial black hole that satisfies the critical condition for resonant detonation, thereby closing the cycle. This cyclic process strictly obeys the second law of thermodynamics through a generalized entropy classification and is globally asymptotically stable. Finally, a comprehensive set of strongly falsifiable predictions is presented, including distinct signatures in black‑hole ringdown, strong‑field gravitational deflection, a bimodal primordial‑black‑hole mass distribution, and characteristic imprints in the CMB and stochastic gravitational‑wave background, ensuring empirical testability.