The Mott Problem as a KnoWellian Rendering Cascade: An Ontological Solution from Procedural Field Theory

This paper presents an ontological solution to the Mott problem, a foundational paradox in quantum mechanics concerning how a spherically symmetric wave function (e.g., from an alpha particle) produces a single, linear track in a classical detector. While Sir Nevill Mott's 1929 mathematical solution is complete, this work addresses the remaining philosophical unease by proposing a physical mechanism that selects a single classical path from an infinity of quantum possibilities.

The solution is grounded in the KnoWellian Universe Theory (KUT), a framework built on procedural metaphysics. We posit that the formation of a particle track is not a wave function collapse but a KnoWellian Rendering Cascade—an irreversible, sequential transformation of potentiality into actuality. This process is governed by the KnoWellian Resonant Attractor Manifold (KRAM), a dynamic memory substrate of the cosmos.

A modified Bohmian (pilot-wave) mechanic is proposed, where the particle's pilot-wave (identified as the Chaos Field in KUT) physically "etches" a directional "imprint" onto the local KRAM geometry upon the first rendering event (ionization). This imprint creates an attractor valley that makes subsequent rendering events along the same vector path overwhelmingly probable.

The linear track is thus re-framed not as a "miraculous" alignment of probabilities but as a deterministic cascade causally guided by the memory of its own becoming. This framework provides a physical mechanism for the phase correlations in Mott's original solution and offers a new, testable foundation for understanding the quantum-to-classical transition.