TITLE:
Operator Convergence and the Structure of Physical Reality: Weak, Strong, and Uniform Limits as Models of Field, Mass, and Gravitation
AUTHORS:
Tafireyi Nemaura
KEYWORDS:
Convergence, Uniform, Strong, Weak, Quantum
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.8,
August
8,
2025
ABSTRACT: We investigate bounded linear operators on separable Hilbert spaces and their convergence properties. We provide connections between uniform, strong, and weak convergence modes and interpret them in terms of gravitational, inertial, and field-based physical ontologies. Using a novel construct, the perturbation energy, we unify operator convergence theory with physical intuition. This paper contributes both a mathematical synthesis and an interpretive framework applicable to quantum mechanics, statistical mechanics, and emergent space-time theories.