Euler’s identity e^i+1=0, widely hailed as the “God formula, ” has lacked systematic ontological examination. Built on the PFUSRC dynamic biconical rheological axiomatic system, this paper reinterprets Euler’s formula and Euler’s identity from topological ontology. It proves that Euler’s formula is the state equation of the 4D flow variable on the bicone waist ring, describing the balance between expansion and convergence projection components; Euler’s identity is only a half-turn zeroing snapshot of the flow variable without independent ontological information. The study strictly differentiates pre-state ontological 3D and static projected 3D, defines the flowing and latent dual states of the 4D flow variable, and argues that all conventional mathematical formulas only reflect projection-layer isomorphic relations instead of original cosmic ontology. Conventional static symbols i and -1 are replaced with dynamic triangular markers matching rheological evolution logic. The paper further derives topological origins of fundamental physical constants including the inverse fine-structure constant 137=11²+4², verifies the model’s consistency with dark matter and dark energy observational data, and establishes complete degradation paths from the PFUSRC system to Newtonian gravity, Einstein field equations and complex analysis. It concludes that the aesthetic sanctification of Euler’s identity arises from cognitive bias of the projection layer, while the true fundamental cosmic structure lies in the breathing dynamic bicone flow variable.
Zhenmin Wang (Wed,) studied this question.