PFUSRC-132B A Popular Overview of Living Calculus — Shattering Limit Illusions, Reconstructing Authentic Cosmic Flux

Abstract

Humanity’s three-centuries-long confusion over calculus originates from one erroneous underlying assumption: the continuous cosmic flux can be infinitely subdivided and statically frozen, with isolated instantaneous slices representing genuine motion. Classical slicing calculus is an artificially constructed static mathematical tool. It forcibly splits uninterrupted cosmic flux into countless motionless laminae, then relies on the hypothetical vanishing of infinitesimal gaps to fit natural evolutionary processes. The inscribed polygon exhaustion method exemplifies this flaw: subdivision always leaves persistent boundary gaps, and the so-called "infinitesimal approaching zero" is merely an idealized mathematical hypothesis that does not match ontological reality. Rooted in the exclusive steady-state geometry of the 45° triple coaxial bicone, PFUSRC Living Calculus reverses this cognitive paradigm entirely: the universe contains no static slices, only bidirectional respiratory topological flux with permanent boundary gaps at all subdivision scales. The sum of all elemental topological gap increments precisely equals the total flux increment of the whole system. Imaginary numbers are not independent spatial dimensions, but merely static 90° phase intercepts extracted from the biconical spiral flux field, partial snapshots detached from complete dynamic ontology. Written in formula-free popular explanatory language tailored to general readers, this paper provides three comparative topological schematics to contrast classical slicing calculus and flux-based living calculus. It also deductively confirms the geometric uniqueness of the bicone as the primordial cosmic flux carrier, systematically excluding spheres, irregular curved surfaces and toroidal structures as candidate ontological geometries. All strict axiomatic uniqueness proofs are traced to PFUSRC-130. This work is completed by an independent researcher without academic institutional backing, serving as the mathematical popularization branch of the PFUSRC seven-layer ontology series.