TITLE:
The Emergence of Dimensional Complexity out of the Null State Universe
AUTHORS:
Douglas Chesley Gill
KEYWORDS:
Quantum Foundations, Paradox, Emergent Organization, Nonlocality, Universality, Null State, Empty State, Infinity, the Qubit, Double-Slit Experiment, Bell’s Inequality, Measurement Problem, General Relativity
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.11,
November
5,
2025
ABSTRACT: The standard interpretation of a null state, or empty state, posits it as devoid of structure. This paper introduces a geometric model (named the 1-D geometric model) proposing that the null or empty state contains hidden structure in the emergent development of dimensional complexity. The model’s argument analyzes two formats of the right triangle within the unit circle. The first format adheres to standard geometric principles. In contrast, the second adopts a novel framework of dimensional structure by assigning a counter-rational and formally nonsensical unitary value of “1” to its vectors. Although the two geometries have a null relationship due to their fundamental geometric inconsistency, the cosine squared calculations for both triangles agree. The relationship framework is leveraged to propose a generic definition of infinity, in which the inherent paradoxes found in its study are justified as a native and essential feature of the Universe’s structure. This reinterpretation is applied to study the paradoxical relationship found between correlated quantum and classical states.