The Universal Manifold: A Generalized N-th Order Hyper-Matrix Framework
Year: 2026
Type: dissertation
Abstract: This paper establishes a definitive unified framework for the Hyper-Matrix field, generalizing the initial Quadratic-Limited Field into an N-th order Parametrized Radical Engine. By demonstrating that structural field stability and Calculus Loops are invariant across all dimensions n ∈ Z +, we provide a deterministic geometric foundation for prime number distribution. We prove that the manifold converges upon the Euler Product as n → ∞, and resolve the Riemann Hypothesis as a stability condition of the “Frozen Phase” on the critical line.
Author: Amitkumar Mahendrakumar Joshi
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7163369831