Planck-Scale Toroidal Closure Substrate: Dimensional Recurrence, Structural Admissibility, and Theory Appraisal in the Quantized Dimensional Ledger
- 1QDL Physics Institute
Abstract
This paper develops a foundations-level interpretation of the Quantized Dimensional Ledger (QDL) as a structural-admissibility framework for physical theory construction. It identifies the recurring dimensional cell L3F2L^{3}F^{2}L3F2 in gravitational, orbital, and Planck-normalized reconstruction, formalizes the associated typed toroidal Quantized Dimensional Cell TQDC5=(SL1)3×(SF1)2T^{5}_{QDC}=(S^{1}_{L})^{3}\times(S^{1}_{F})^{2}TQDC5=(SL1)3×(SF1)2, and interprets the resulting structure as a Planck-scale toroidal closure substrate. The paper distinguishes this substrate from classical aether concepts, situates QDL within debates about dimensional analysis, scientific representation, structural realism, theory appraisal, and measurement, and defines claim-status boundaries between established dimensional facts, QDL definitions, conditional results, interpretive claims, and open conjectures. It also includes a worked μ\muμ-ledger example showing how closure-admissibility can be operationalized through orbital residual analysis.
Related
- Statistical admissibility and long-wavelength structural convergence determine representative support in granular materials
- Vacuum Projection and Sector Mapping from a Typed Toroidal Closure Lattice: A Quantized Dimensional Ledger Construction for Standard-Model Admissibility
- Suppression of stripe-ordered structural phases in monolayer IrTe2 by a gold substrate
- HVPE Growth of Si-Doped β-Ga2O3 on Sapphire: Influence of Substrate Offcut on Structural and Electrical Properties
- The QDC Completion Theorem: Matter-Basis Minimality, Three-Family Automorphism, Charged-Lepton Closure, and Gravitational Recurrence in the Quantized Dimensional Ledger
BibTeX
@misc{bourassa2026planckscale,
title = {{Planck-Scale Toroidal Closure Substrate: Dimensional Recurrence, Structural Admissibility, and Theory Appraisal in the Quantized Dimensional Ledger}},
author = {James D. Bourassa},
howpublished = {Zenodo (CERN European Organization for Nuclear Research)},
year = {2026},
month = jun,
doi = {10.5281/zenodo.20581680},
url = {https://doi.org/10.5281/zenodo.20581680},
note = {CC BY},
}
RIS
TY - UNPB
TI - Planck-Scale Toroidal Closure Substrate: Dimensional Recurrence, Structural Admissibility, and Theory Appraisal in the Quantized Dimensional Ledger
AU - James D. Bourassa
PY - 2026
DA - 2026/06/07
PB - Zenodo (CERN European Organization for Nuclear Research)
DO - 10.5281/zenodo.20581680
UR - https://doi.org/10.5281/zenodo.20581680
AB - This paper develops a foundations-level interpretation of the Quantized Dimensional Ledger (QDL) as a structural-admissibility framework for physical theory construction. It identifies the recurring dimensional cell L3F2L^{3}F^{2}L3F2 in gravitational, orbital, and Planck-normalized reconstruction, formalizes the associated typed toroidal Quantized Dimensional Cell TQDC5=(SL1)3×(SF1)2T^{5}_{QDC}=(S^{1}_{L})^{3}\times(S^{1}_{F})^{2}TQDC5=(SL1)3×(SF1)2, and interprets the resulting structure as a Planck-scale toroidal closure substrate. The paper distinguishes this substrate from classical aether concepts, situates QDL within debates about dimensional analysis, scientific representation, structural realism, theory appraisal, and measurement, and defines claim-status boundaries between established dimensional facts, QDL definitions, conditional results, interpretive claims, and open conjectures. It also includes a worked μ\muμ-ledger example showing how closure-admissibility can be operationalized through orbital residual analysis.
ER -