Interlaced Spin Fabrics on Foliated Spherical Manifolds: A Proposal for Substrate-Independent Quantum Architectures at Planetary Scales
Abstract
We propose a theoretical framework for the realization of topologically protected quantum states distributed across a dynamic, relativistic lattice of orbital sites. By mapping the time-dependent connectivity of a satellite constellation to a time-modulated Voronoi tessellation, we describe a planetary-scale ``spin fabric'' governed by $\mathbb{Z}_2$ gauge symmetry. We further introduce a decentralized, asynchronous decoding mechanism utilizing predictive feed-forward control to maintain the logical Pauli frame across relativistic horizons. We analyze the stability of this topological phase under the metric fluctuations induced by Keplerian motion, identifying the critical kinetic threshold where the latency of asynchronous decoding updates ($\tau_{\text{dec}}$) successfully suppresses the structural and environmental noise timescales. Within this framework, we determine the conditions under which the system behaves as a delocalized topological fluid, where logical information is anchored to the global homology of the trans-manifold strata rather than localized physical links. This work establishes the analytical conditions for a substrate-independent, fault-tolerant quantum architecture, providing a pathway for the preservation of coherent logical states across macroscopic planetary scales.
Fields of Study & Subjects
Quantum Computing Algorithms and Architecture
Quantum many-body systems
Quantum Information and Cryptography
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 2 February 2026