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| Những tác giả chính: | , |
|---|---|
| Định dạng: | Recurso digital |
| Ngôn ngữ: | |
| Được phát hành: |
Zenodo
2026
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| Những chủ đề: | |
| Truy cập trực tuyến: | https://doi.org/10.5281/zenodo.20091462 |
| Các nhãn: |
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Mục lục:
- <p>The paradigm of screening universe models based on a single topological invari<br>ant (such as the spectral invariant Z), though illuminating, may fail to exhaust<br>all the constraints imposed by physical reality. This paper proposes that a viable<br>universe must simultaneously satisfy a composite constraint condition composed of<br>multiple independent topological invariants. These invariants originate from the<br>universal topological properties exhibited by physical systems at different dimen<br>sions and different symmetry levels. We take the spectral invariant Z, rooted in<br>chiral anomalies and boundary excitation modes, and the spectral invariant Y ,<br>originated from higher-dimensional generalized symmetries and higher-order Hall<br>responses, as examples to demonstrate that they correspond respectively to the<br>necessary self-consistency conditions for the “observable universe” and the “higher<br>dimensional spacetime structure”. It is particularly necessary to point out that Z<br>and Y are physically independent at their origins but mathematically constrained<br>by the hierarchical relationship strictly determined by the Drinfeld center construc<br>tion– this “determination-screening” dual structure constitutes the rigorous core<br>of the cascade screening mechanism. The combination of the two forms a cascade<br>screening mechanism, which can exponentially increase the screening efficiency and<br>elevate model construction to a new paradigm with greater predictive power.</p>