| _version_ | 1866901599157223424 |
|---|---|
| author | zhou, Changzheng zhou, ziqing |
| author_facet | zhou, Changzheng zhou, ziqing |
| contents | <p>This paper, based on the two fundamental axioms of “information conservation”<br>and “computability,” proposes a unified cosmological framework with ∞-groupoids<br>as its mathematical skeleton. This framework views the physical universe as a<br>category-theoretic object with infinite-order self-referential structure, its evolution<br>driven by discrete information transitions (∆µ = ln2). We prove that “success<br>ful universes” capable of emerging four-dimensional Lorentzian spacetime and the<br>Standard Model structure correspond to a class of ∞-groupoids with specific sta<br>ble homotopy order (π/√3) and coherent higher-order commutativity; while the<br>vast majority of “failed universes” correspond to ∞-groupoids that are topologi<br>cally trivial, chaotic, incoherent, or frozen in incorrect symmetries. This paper fur<br>ther points out that although successful universes constitute a set of measure zero<br>in the parameter space, their cardinality within the infinite-order self-referential<br>hypergraph is uncountably infinite (≥ ℶω). Consequently, their existence is not a<br>low-probability event but a syntactic necessity under infinite self-reference. Finally,<br>we list observable predictions of this framework (such as odd-mode oscillations in<br>the primordial gravitational wave power spectrum and specific parameters for CMB<br>non-Gaussianity) and indicate that future multi-messenger astronomical observa<br>tions (e.g., LISA, SKA-2, CMB-S4) can provide rigorous tests for the theory.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18264892 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | ∞-Groupoid Cosmology E; Emergence of Spacetime and Matter from the Self-Referential Structure of ∞-Groupoids zhou, Changzheng zhou, ziqing ∞-Groupoid; Information Conservation; Computability; Cosmological Constant; Primordial Gravitational Waves; Non-Gaussianity; Self-Referential System; Category Theory; Multi-Messenger Tests <p>This paper, based on the two fundamental axioms of “information conservation”<br>and “computability,” proposes a unified cosmological framework with ∞-groupoids<br>as its mathematical skeleton. This framework views the physical universe as a<br>category-theoretic object with infinite-order self-referential structure, its evolution<br>driven by discrete information transitions (∆µ = ln2). We prove that “success<br>ful universes” capable of emerging four-dimensional Lorentzian spacetime and the<br>Standard Model structure correspond to a class of ∞-groupoids with specific sta<br>ble homotopy order (π/√3) and coherent higher-order commutativity; while the<br>vast majority of “failed universes” correspond to ∞-groupoids that are topologi<br>cally trivial, chaotic, incoherent, or frozen in incorrect symmetries. This paper fur<br>ther points out that although successful universes constitute a set of measure zero<br>in the parameter space, their cardinality within the infinite-order self-referential<br>hypergraph is uncountably infinite (≥ ℶω). Consequently, their existence is not a<br>low-probability event but a syntactic necessity under infinite self-reference. Finally,<br>we list observable predictions of this framework (such as odd-mode oscillations in<br>the primordial gravitational wave power spectrum and specific parameters for CMB<br>non-Gaussianity) and indicate that future multi-messenger astronomical observa<br>tions (e.g., LISA, SKA-2, CMB-S4) can provide rigorous tests for the theory.</p> |
| title | ∞-Groupoid Cosmology E; Emergence of Spacetime and Matter from the Self-Referential Structure of ∞-Groupoids |
| topic | ∞-Groupoid; Information Conservation; Computability; Cosmological Constant; Primordial Gravitational Waves; Non-Gaussianity; Self-Referential System; Category Theory; Multi-Messenger Tests |
| url | https://doi.org/10.5281/zenodo.18264892 |