Unified Substrate Theory: Tier-Prime-Scale Geometry

Description This record contains the core framework of the Unified Substrate Theory (UST), which models physical reality as a discrete, nested architecture where foundational tiers are strictly indexed by prime numbers. Rather than treating physical laws as arbitrary or relying on smooth continuous gradients, UST demonstrates how geometry, stability, and scale-transition boundaries are dictated by irreducible prime intervals. To make this framework accessible to the widest possible audience—ranging from technical specialists to intuitive thinkers—this work is provided in three distinct reading styles and formats: Version 1: The Technical & Analytical Edition — Focuses on rigorous structural definitions, mathematical scaling ratios, and foundational derivations (including the Coherence Length and Boundary Thickness Ratios). Version 2: The Conceptual & Mechanistic Edition — Prioritizes physical intuition, mechanical analogies, and the step-by-step staircase progression from the micro-scale (quantum/electromagnetism) to the macro-scale (astrophysics). Version 3: The Narrative & High-Level Overview — Offers a streamlined, big-picture narrative designed for rapid comprehension of how individual units and modular geometry shape the universe. Whether you approach the material through formal mathematical verification or conceptual first-principles, these editions ensure that the core mechanics of substrate geometry can be fully explored and understood. This work is part of a larger collection of UST documents. The other versions available in the DOI record are not revisions of this document. They are separate papers written for different purposes. Some versions present the full mathematical proofs behind the update rules, others provide a technical physical description of substrate behavior, and others are formal proof papers built around the Universal Balance Laws. Together, these documents form a complete set: a plain‑language booklet, a physical description paper, and full mathematical proof papers, each offering a different perspective on the same underlying theory. If you have questions or want to discuss the work, you can contact me directly at dustin@unifiedsubstratetheory.com Don't be shy. I want to discuss science. It is fun and should be. Reachout and lets get started on new discoveries.