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FINSLERIAN SPACETIME ENGINEERING: FROM PROGRAMMABLE SPIN LIQUIDS TO APPARENT TRAJECTORY DISCONTINUITIES
2026-03-31

Recent experimental advances in frustrated quantum spin liquids and terahertz metasurface control indicate that the local effective metric of spacetime may no longer be considered fixed. We propose a unified framework based on Finsler geometry of Randers type, where the metric depends on direction. In this framework: (1) exceeding a critical value of the anisotropic 1‑form collapses the forward light cone in a chosen direction, producing a local invisibility cloak — no null geodesic connects the object to an external observer; (2) a smooth transition of the tangent vector across the Finslerian “wind” shifts the object between different time‑like projections of the same spacetime, appearing as sudden disappearance/reappearance (the UFO phenomenon). We identify frustrated quantum spin liquids (e.g., κ-(BEDT-TTF)₂Cu₂(CN)₃) as the physical substrate for metric control and cite experimental demonstrations of tunable frustration via mid‑infrared pulses, room‑temperature spintronic Josephson junctions, and a metamaterial torsion field generator (Sarfatti, 2025). An energy analysis shows that a THz power of 1–10 mW on a 100 × 100 μm² area is sufficient to achieve the required frustration modulation. All necessary components already exist in laboratories; what remains is their integration into a single device.

Ссылка для цитирования:

Сиваков С. В. 2026. FINSLERIAN SPACETIME ENGINEERING: FROM PROGRAMMABLE SPIN LIQUIDS TO APPARENT TRAJECTORY DISCONTINUITIES. PREPRINTS.RU. https://doi.org/10.24108/preprints-3114805

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