April 2026 | Paper and PDF

Boundary-Conditioned Modulation of the Fine-Structure Constant Around a Structurally Derived Ground State

Authors: Charles Anthony Hyatt Battiste and Alfred McBride

This paper presents a convergent framing between the Utterance Model and the Boundary-Conditioned Reality framework. In the paper's own structure, the Utterance Model supplies a structurally derived ground-state value for the fine-structure constant, while the boundary-conditioned framework models how an effective value can vary around that structural ground state under changing boundary conditions.

Background

The paper is positioned around a long-standing physics question: whether the fine-structure constant is only measurable or whether it can also be structurally explained. The introduction places that question in the context of historical attempts to understand alpha and then presents two independently developed frameworks that, according to the paper, converge on the same structural pattern.

The first framework is the Utterance Model, which the paper describes as deriving a structural value for the fine-structure constant from a minimal axiomatic basis. The second is the Boundary-Conditioned Reality framework, which treats the observed electromagnetic coupling as an effective value influenced by boundary conditions. The paper's central claim is that these two lines of reasoning converge on the same threshold structure and on the same ground-state identification.

What The Paper Covers

  • A structural derivation of a ground-state value for the fine-structure constant.
  • A boundary-conditioned framework in which an effective coupling varies around that structural value.
  • A formal relationship between a structural ground state and a dynamical modulation model.
  • An experimental section describing a laboratory-scale test path for boundary-dependent modulation.
  • A discussion of cosmic birefringence as an observational bridge raised in the paper.

How This Relates To The Simulation

The public boundary simulation on this website is an explanatory workbench. It gives visitors a way to interact with a boundary-response model, inspect transition behavior, and export figures. This paper page is the companion context for that simulator: the simulator shows the moving parts, while the PDF states the paper's broader argument, equations, and proposed experimental significance.

For readers who want the full derivation language, references, and formal presentation, the PDF is the primary document. For readers who want an intuitive graphical entry point first, the simulator is the faster starting point.

Public Access

The PDF is hosted directly on this site for open reading and download. The simulation companion remains available under the Simulations section.