An Effective Phenomenological Model for Entanglement-Induced Torsion and Quasiparticle Confinement in Analogue Spacetimes

Plain Language Summary: Information Before Geometry Core Concept at a Glance In standard gravitational physics, matter dictates the geometry of spacetime. This working paper tentatively reverses that causal chain: What if fundamental quantum information (entanglement entropy) is the primary cause, and geometric effects like torsion emerge merely as a response? Key Takeaways The Unresolved Puzzle: Geometric spacetime torsion—a mathematical "twisting" of spacetime—is theoretically plausible, yet decades of precision experiments have yielded no positive detection in our universe. The Shift in Perspective: Rather than strictly binding torsion to real matter currents, this toy model explores whether spatial gradients in the vacuum's entanglement structure can act as an effective source of torsion. From Cosmology to the Lab (Analogue Gravity): Because fundamental spacetime geometry is notoriously difficult to test directly, the paper maps the formal model onto condensed matter physics—specifically the Weyl semimetal tantalum arsenide (TaAs). Concrete Laboratory Predictions: Under structured laser irradiation, the crystal lattice simulates a torsional response. The model yields specific target parameters for spectroscopic verification (tr-ARPES / tr-STM): a soliton width of ~25 nm and an induced energy bandgap of ~20 meV.