Universality and Robustness of the Coherent Sector in Modal Triplet Theory
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| Format: | Recurso digital |
| Langue: | anglais |
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2026
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| _version_ | 1866901094130515968 |
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| author | Nero, Peter |
| author_facet | Nero, Peter |
| contents | <p>We show that the existence, stability, and physical relevance of the coherent sector in Modal Triplet Theory (MTT) are universal within a broad class of geometric and spectral models. Building on the Fixed Points series, the Fundamental Contractivity Condition (FCC), the RG–FCC stability theorem, and constructive results in quantum gravity, we define a coherent universality class characterized by bounded geometry, a uniform spectral gap, and norm-stable coherent projectors. Within this class, the coherent sector persists under curvature perturbations, renormalization-group coarse-graining, and nonperturbative quantum-gravitational dynamics. Calabi–Yau compactifications, heterotic flux vacua (including Strominger systems), and M-theory backgrounds arise as controlled sublimits of the same universality class, while the vast majority of nominal string vacua are excluded by coherence admissibility. As a result, physical predictions in MTT depend only on the coherent universality class rather than on fine-tuned geometric choices, and the string “landscape” is reduced to a sharply constrained admissible set. The analysis is structural and does not rely on detailed internal metrics or parameter tuning, establishing MTT as a universality-based framework.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18260834 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Universality and Robustness of the Coherent Sector in Modal Triplet Theory Nero, Peter Modal Triplet Theory; coherent sector; universality; robustness; spectral gap; projector stability; renormalization group; quantum gravity; string theory; landscape problem <p>We show that the existence, stability, and physical relevance of the coherent sector in Modal Triplet Theory (MTT) are universal within a broad class of geometric and spectral models. Building on the Fixed Points series, the Fundamental Contractivity Condition (FCC), the RG–FCC stability theorem, and constructive results in quantum gravity, we define a coherent universality class characterized by bounded geometry, a uniform spectral gap, and norm-stable coherent projectors. Within this class, the coherent sector persists under curvature perturbations, renormalization-group coarse-graining, and nonperturbative quantum-gravitational dynamics. Calabi–Yau compactifications, heterotic flux vacua (including Strominger systems), and M-theory backgrounds arise as controlled sublimits of the same universality class, while the vast majority of nominal string vacua are excluded by coherence admissibility. As a result, physical predictions in MTT depend only on the coherent universality class rather than on fine-tuned geometric choices, and the string “landscape” is reduced to a sharply constrained admissible set. The analysis is structural and does not rely on detailed internal metrics or parameter tuning, establishing MTT as a universality-based framework.</p> |
| title | Universality and Robustness of the Coherent Sector in Modal Triplet Theory |
| topic | Modal Triplet Theory; coherent sector; universality; robustness; spectral gap; projector stability; renormalization group; quantum gravity; string theory; landscape problem |
| url | https://doi.org/10.5281/zenodo.18260834 |