BC XV: Canonical Representatives and Gauge Quotients of Schur/Feshbach Response Classes 2026 06 20

Описание: The paper also proves that the minimal hidden support dimension is equal to the rank of the effective response operator, and that minimal whitened factorizations of the same response are unique up to a unitary hidden-frame transformation. On rank-stable parameter intervals, the canonical square-root representative varies smoothly, while rank-changing boundaries are identified as the natural singular walls to be studied in the next module.

Boundary Compensation XV therefore converts hidden-lift non-identifiability into a precise mathematical language of quotient classes, gauge redundancies, minimal supports and canonical normal forms. The work is deliberately finite-dimensional and structural. It does not claim reconstruction of a physical hidden Hamiltonian, derivation of particle masses, a Standard Model derivation, a cosmological-constant calculation or an empirical prediction. Its purpose is to complete the regular quotient geometry needed before studying singular rank-changing walls in subsequent Boundary Compensation modules.

Boundary Compensation / Zenodo records
18 records, ascending DOI order

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Boundary Compensation: Mathematical Physics and Spectral Response

1. Boundary Compensation and Spectral Sensitivity of the Cosmological Constant
DOI: https://doi.org/10.5281/zenodo.20582076
Zenodo: https://zenodo.org/records/20582076

2. BC-TimeEntropy v0.3: Boundary Compensation, Spectral Entropy, Gap-Controlled Response and Relational Internal Time
DOI: https://doi.org/10.5281/zenodo.20619751
Zenodo: https://zenodo.org/records/20619751

3. Boundary Compensation and Wavefunction Collapse: Finite-Resolution Readout of Nonzero Boundary Residue
DOI: https://doi.org/10.5281/zenodo.20674022
Zenodo: https://zenodo.org/records/20674022

4. BC-Horizon-v0.1 Boundary Compensation and the Black Hole Information Problem
DOI: https://doi.org/10.5281/zenodo.20680671
Zenodo: https://zenodo.org/records/20680671

5. Boundary Compensation III: Induced Zero-Mode Splitting and the Microscopic Origin of the Compensation Gap
DOI: https://doi.org/10.5281/zenodo.20684264
Zenodo: https://zenodo.org/records/20684264

6. Boundary Compensation IV: Multi-Channel Compensation Mixing and Induced Gap Spectra
DOI: https://doi.org/10.5281/zenodo.20694403
Zenodo: https://zenodo.org/records/20694403

7. Boundary Compensation V: Orthogonal Sector Projections and Non-Abelian Compatibility in Zero-Mode Spaces
DOI: https://doi.org/10.5281/zenodo.20701903
Zenodo: https://zenodo.org/records/20701903

8. Boundary Compensation VI: Stability of Sector-Projected Gap Labels and Representation-Theoretic Selection Rules
DOI: https://doi.org/10.5281/zenodo.20709726
Zenodo: https://zenodo.org/records/20709726

9. Boundary Compensation VII: Coarse-Grained Spectral Access to Induced Boundary Gap Operators
DOI: https://doi.org/10.5281/zenodo.20723846
Zenodo: https://zenodo.org/records/20723846

10. Boundary Compensation I: Spectral Sensitivity of the Cosmological Constant
DOI: https://doi.org/10.5281/zenodo.20724751
Zenodo: https://zenodo.org/records/20724751

11. Boundary Compensation VIII: Parameter Flow of Induced Gap Spectra and Sector-Weight Transport
DOI: https://doi.org/10.5281/zenodo.20735158
Zenodo: https://zenodo.org/records/20735158

12. Boundary Compensation IX: Isotypic Sector Transport and Non-Abelian Compatibility under Parameter Flow
DOI: https://doi.org/10.5281/zenodo.20738859
Zenodo: https://zenodo.org/records/20738859

13. Boundary Compensation X: Toy Hidden-Sector Response Models and Finite-Dimensional Access Operators
DOI: https://doi.org/10.5281/zenodo.20740570
Zenodo: https://zenodo.org/records/20740570

14. Boundary Compensation XI: The Inverse Isotypic Gap Problem and Finite-Resolution Response Equivalence
DOI: https://doi.org/10.5281/zenodo.20748061
Zenodo: https://zenodo.org/records/20748061

15. Boundary Compensation XII: Selection Rules and Admissible Representatives of Finite-Resolution Response Classes
DOI: https://doi.org/10.5281/zenodo.20751489
Zenodo: https://zenodo.org/records/20751489

16. Boundary Compensation XIII: Rigidity and Refinement of Finite-Resolution Response Equivalence Classes
DOI: https://doi.org/10.5281/zenodo.20760491
Zenodo: https://zenodo.org/records/20760491

17. Boundary Compensation XIV: Structural Identifiability Thresholds and Minimal Refinement Conditions
DOI: https://doi.org/10.5281/zenodo.20764827
Zenodo: https://zenodo.org/records/20764827

18. Boundary Compensation XV: Canonical Representatives and Gauge Quotients of Schur/Feshbach Response Classes
DOI: https://doi.org/10.5281/zenodo.20767709
Zenodo: https://zenodo.org/records/20767709