YEHI
Year: 2026
Type: preprint
Abstract: This monograph introduces YEHI, a formal axiomatic frameworkgrounded in a single principle asserting that “every selection of selectionexists.” From this axiom, models arise intrinsically through self-drivensteps involving objects and directed layers, without reliance on externalsemantics or set-theoretic presuppositions. The framework emphasizes the act-like character of the axiom andexplores the structural consequences of its recursive application. Layersare treated as point entities equipped with two independent quantities:spatial frequency (SF), associated with size, and time frequency (TF),associated with duplication. The constrained redistribution of thesequantities gives rise to regular and irregular geometrical configurations,while transitions between model states exhibit dependency relations,symmetry, and either conservation-like behavior or irreversible change,interpreted as abstract entropy. YEHI is applied to the construction and comparison of counting systems,including models aligned with the Natural Numbers and the RealNumbers. Within this setting, additional models are shown to admitinfinite magnitudes that lie strictly between these classical cases. Theanalysis thus supports a graded hierarchy of infinite structures andindicates that the Continuum Hypothesis is not a structural necessity ofthe framework. Finally, the monograph introduces abstract space and abstract time ascollective structural features emerging from the redistribution of SF andTF across models. These notions enable systematic comparison andpairing between structures with different cardinal organizations. YEHI isthereby presented as a low-level axiomatic language for investigatingorganization, transformation, and invariance across diverse theoreticaldomains.
Author: PLUBER, DEAN
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7122761725
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