| _version_ | 1866902035182387200 |
|---|---|
| author | zhou, ziqing Zhou, Changcheng |
| author_facet | zhou, ziqing Zhou, Changcheng |
| contents | <p> This paper proposes a topological dynamics theory of quantum spacetime based<br> on noncommutative algebra and homology groups, defined through the sextuple<br> structure C = ⟨R,⟳,†,ι,T ,H•⟩. Here R denotes a compact noncommutative ring<br> (e.g., quaternion algebra H), ⟳ represents the loop flow operator characterizing<br> temporal non-commutativity, and Hk encodes topological obstructions via k-th<br> order homology groups. The model satisfies diffeomorphism invariance under sym<br>plectic geometry constraints and derives a quantum-corrected form of Einstein’s<br> f<br> ield equations. Experimental verification includes:<br> 1. Time crystals: Preparation of YbGa3O12 crystals under Cl3,0 algebra, ob<br>serving 0.17 ± 0.02 Hz oscillations when dimH2 = 3<br> 2. DNA replication: E.coli error rate perr = |ker∂1|/|R| ≈ 2.34% (measured<br> 2.29%)<br> 3. Black hole physics: Singularity satisfies H3 ∼<br> =Z2 with information conser<br>vation SBH = kB ln2<br> The theory further unifies quantum entanglement, cosmological perturbations, and<br> thermodynamic entropy increase, providing a new paradigm for quantum gravity<br> research.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17010739 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | ChronoRing A: Algebraic and Homological Dynamics Framework zhou, ziqing Zhou, Changcheng noncommutative algebra; homological dynamics; time crystals; DNA replication error; black hole information conservation; quantum entanglement; diffeo morphism invariance <p> This paper proposes a topological dynamics theory of quantum spacetime based<br> on noncommutative algebra and homology groups, defined through the sextuple<br> structure C = ⟨R,⟳,†,ι,T ,H•⟩. Here R denotes a compact noncommutative ring<br> (e.g., quaternion algebra H), ⟳ represents the loop flow operator characterizing<br> temporal non-commutativity, and Hk encodes topological obstructions via k-th<br> order homology groups. The model satisfies diffeomorphism invariance under sym<br>plectic geometry constraints and derives a quantum-corrected form of Einstein’s<br> f<br> ield equations. Experimental verification includes:<br> 1. Time crystals: Preparation of YbGa3O12 crystals under Cl3,0 algebra, ob<br>serving 0.17 ± 0.02 Hz oscillations when dimH2 = 3<br> 2. DNA replication: E.coli error rate perr = |ker∂1|/|R| ≈ 2.34% (measured<br> 2.29%)<br> 3. Black hole physics: Singularity satisfies H3 ∼<br> =Z2 with information conser<br>vation SBH = kB ln2<br> The theory further unifies quantum entanglement, cosmological perturbations, and<br> thermodynamic entropy increase, providing a new paradigm for quantum gravity<br> research.</p> |
| title | ChronoRing A: Algebraic and Homological Dynamics Framework |
| topic | noncommutative algebra; homological dynamics; time crystals; DNA replication error; black hole information conservation; quantum entanglement; diffeo morphism invariance |
| url | https://doi.org/10.5281/zenodo.17010739 |