Emergent Gravity and Gauge from a Quantum Cellular Automaton
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2025
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| _version_ | 1866902218315137024 |
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| author | Radnor, Mike |
| author_facet | Radnor, Mike |
| contents | <p>An explicit, gauge‑invariant quantum cellular automaton on an aperiodic 4‑regular graph for emergent gravity and gauge. The work specifies gate‑level dynamics, a local fermion encoding, and a synthetic fifth dimension that realizes a single chiral mode via anomaly inflow. A falsifiable validation program tests renormalization‑group flow, species‑universal light cones, Noether‑based stress conservation, transverse–traceless Kubo response, and the entanglement‑equilibrium hypothesis.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17075197 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Emergent Gravity and Gauge from a Quantum Cellular Automaton Radnor, Mike emergent gravity quantum cellular automaton QCA Floquet dynamics lattice gauge theory gauge-invariant SU(2) quantum link model rishon formulation aperiodic graphs quasicrystal graphs cut-and-project split-step quantum walk plaquette ring exchange domain-wall fermions Ginsparg-Wilson relation anomaly inflow Lorentz invariance Lorentz-violating operators Lieb-Robinson bounds entanglement hydrodynamics stress-energy tensor Noether currents modular Hamiltonian relative entropy Kubo linear response transverse-traceless modes spectral dimension angular isotropy coarse-graining renormalization group Wilson loops photon dispersion stochastic gravitational-wave strain <p>An explicit, gauge‑invariant quantum cellular automaton on an aperiodic 4‑regular graph for emergent gravity and gauge. The work specifies gate‑level dynamics, a local fermion encoding, and a synthetic fifth dimension that realizes a single chiral mode via anomaly inflow. A falsifiable validation program tests renormalization‑group flow, species‑universal light cones, Noether‑based stress conservation, transverse–traceless Kubo response, and the entanglement‑equilibrium hypothesis.</p> |
| title | Emergent Gravity and Gauge from a Quantum Cellular Automaton |
| topic | emergent gravity quantum cellular automaton QCA Floquet dynamics lattice gauge theory gauge-invariant SU(2) quantum link model rishon formulation aperiodic graphs quasicrystal graphs cut-and-project split-step quantum walk plaquette ring exchange domain-wall fermions Ginsparg-Wilson relation anomaly inflow Lorentz invariance Lorentz-violating operators Lieb-Robinson bounds entanglement hydrodynamics stress-energy tensor Noether currents modular Hamiltonian relative entropy Kubo linear response transverse-traceless modes spectral dimension angular isotropy coarse-graining renormalization group Wilson loops photon dispersion stochastic gravitational-wave strain |
| url | https://doi.org/10.5281/zenodo.17075197 |