What question did this study set out to answer?

The paper explores how finite-resolution updates cannot terminate at arbitrary depths, focusing on structural implications for the fine-structure constant.

January 23, 2026Open Access

Alpha Locking v6: Finite-Resolution Termination and the Structural Fixing of the Fine-Structure Constant

Key Points

The paper explores how finite-resolution updates cannot terminate at arbitrary depths, focusing on structural implications for the fine-structure constant.
Established finite-resolution update structure
Performed explicit enumeration using Python
Specified audit procedure for the implementation
Verified singleton admissible depth condition
Termination occurs at a unique minimal admissible value
The fine-structure constant emerges as a structural residue
No fitting or empirical data was used for the findings

Abstract

This record contains the main paper, the audit supplement, and the reference implementation for Alpha Locking v6. Alpha Locking v6 establishes that a finite-resolution update structure cannot terminate at an arbitrary depth. Under purely discrete, non-optimizing accept/reject predicates, the update depth is forced to terminate at a unique minimal admissible value, leaving a residual dimensionless constant. No fitting, tuning, optimization, or empirical input is used.The fine-structure constant appears solely as a structural residue of finite-resolution termination. The Supplement specifies a complete audit procedure.The attached Python code performs a finite, explicit enumeration and verifies the singleton admissible depth condition. This work completes the one-way trilogy:MOF v3 → PFC v4 → Alpha Locking v6.

Read Full Paperexternally

AI से पूछें

Bookmark

View Full Paper