GRE Foundry / RTRT Regulated Trinary Reduction Theory TITO Theory QFA Theory: A Primer and Overview of the Mature 3D Temporal Aether Framework V5.0
Year: 2026
Type: article
Abstract: # RTRT Publication Set — May 2026 **Author:** Garret R. J. Krampe **Affiliation:** GRE Foundry, Daram, Samar, Philippines **Concept DOI:** [10.5281/zenodo.17431815](https://doi.org/10.5281/zenodo.17431815) **License:** CC BY-NC-ND 4.0 ## Overview Regulated Trinary Reduction Theory (RTRT) is a discrete integer-only theoretical physics framework. From one measured input (the electron mass) and five structural integers {2, 3, 4, 5, 7}, it derives fundamental constants spanning twelve orders of magnitude in precision. This upload contains six papers and supporting materials. ## Papers ### 1. The Planck Constant as a Projection Coefficient (8 pages) Shows that ħ = 1 in TITO natural units (algebraically exact, verified to 80-digit precision). Derives eight fundamental constants from one measurement. Proposes single-anchor metrology replacing Planck units. ### 2. Yang–Mills Mass Gap: Clay Prize Formulation (14 pages) Formal RTRT routing-lattice derivation of the Yang–Mills mass-gap value: Δ = 3⁸ × E₀ = 1.676 GeV (3.1% from lattice QCD, 0.7σ). Includes boundary operator ∂_RGB, physical projection, five-layer formal wrapper, Route B bridge to Osterwalder–Schrader reconstruction, TITO natural units, interpolation bound, and glueball excitation spectrum. ### 3. Yang–Mills Mass Gap: Zenodo Summary (8 pages) Compact version of the mass gap derivation with Route B bridge. Suitable for first reading. ### 4. Route B Bridge Note (3 pages) Technical note formulating the path from Wilson action reflection positivity to RTRT physical projection. Reduces the Clay wrapper to one specialist question. ### 5. The Nyquist Ceiling (12 pages) Derives the speed of light as c = SPAN/ROT = 5/4 (Nyquist sampling limit), the Lorentz factor from the Pythagorean triple 3² + 4² = 5², Cherenkov radiation as aliasing above the sampling ceiling, and Wang superluminal envelope as sub-Nyquist group velocity. ### 6. The PD2 Prime Universe (9 pages) Particle classification from integer TITO addresses. Two-level system: PD2Target (energy scale, prime = stability) and PD2Type (gap = particle type). Covers electron, proton, neutron, pion, positronium. ## Supporting Materials - **RTRT_citations.bib** — BibTeX entries for all papers - **LICENSE.txt** — CC BY-NC-ND 4.0 - **README.md** — This file ## Precision Table | Constant | Formula | Precision | |----------|---------|-----------| | α⁻¹ | 137 + 9/250 − 1/1,198,750 | ~7×10⁻¹² | | a₀ | (λ_TITO/AP) × α⁻¹ | 2.2×10⁻¹⁰ | | ħ | E_TITO × τ_TITO | Exact (0.0) | | G | 1/N_G | −0.133 ppm | | m_p | 3672 × E_TITO | ~0.01% | | m_n | 3677 × E_TITO | ~0.01% | | Q_β | 49 × OG_unit | 0.017% | | Δ_YM | 3⁸ × E_TITO | 3.1% | One measurement (m_e). Five integers {2,3,4,5,7}. Zero free parameters. ## File Formats Each paper is provided in four formats: - **.pdf** — Typeset document (pdfLaTeX) - **.tex** — LaTeX source - **.docx** — Word document (pandoc conversion) - **.md** — Markdown (pandoc conversion) ## Contact Garret R. J. Krampe GRE Foundry Daram Island, Samar, Philippines DOI: 10.5281/zenodo.17431815 ## How to Cite ```bibtex @misc{krampe2026_rtrt, author = {Krampe, Garret R. J.}, title = {RTRT Publication Set -- May 2026}, year = {2026}, publisher = {Zenodo}, doi = {10.5281/zenodo.17431815}, url = {https://doi.org/10.5281/zenodo.17431815} } ```
Author: Krampe, Garret R J
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7160761282
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