Issue #8 · Weekly Dispatch
Issue 8
This week in three levels
L5 · tier T · Time evolution in the Gross-Neveu model exactly maps to renormalization-group flow, generating a time-dependent mass gap in the adiabatic regime.
Pasnoori shows that the time-dependent SU(2) Gross-Neveu model is integrable when the coupling strength g(t) follows the trajectory of the static model’s RG flow equations, with time t identified as ln Λ. In the scaling limit this correspondence yields a characteristic timescale t₀. For coupling strength decreasing in time, the adiabatic regime (t ~ t₀, drive rate α₀ = 1) exhibits dynamical dimensional transmutation: a time-dependent mass gap m(Δt) = m₀ exp(−πα₀Δt) emerges at t = t₀ + Δt. The generalized Bethe ansatz framework permits exact solution of the time-dependent wavefunction. The RG-time equivalence suggests that progression in one domain is an emergent coordinate in the dual, a hallmark of analog spacetime.
[Time-Dependent Dynamical Dimensional Transmutation in the SU(2) Gross-Neveu Model — arXiv:2605.05111]
L5 · tier T · Schwinger pair creation in strong non-Abelian fields generates nonlocal magic as the quark-antiquark pair accelerates into causally disconnected Rindler wedges.
Grieninger uses holography to compute the refined Rényi entropy and its derivative—a measure of entanglement spectrum antiflatness—for a spherical bipartition during Schwinger pair production. The produced quark-antiquark pair is entangled into a color singlet yet accelerates into regions that become causally disconnected in the pair’s rest frames. For boundary dimension d > 2, the entanglement spectrum is non-flat, implying dynamical generation of nonlocal magic. The holographic dual connects this magic to the free energy of a probe brane. The Casini-Huerta-Myers conformal mapping bridges the boundary field theory to the bulk geometry. The result highlights entanglement stabilization in synthetic gauge configurations with event-horizon-like causal structure.
[The nonlocal magic of a holographic Schwinger pair — arXiv:2605.04210]
L5 · tier T · Fermionic double-trace deformation in Kerr/CFT opens a traversable wormhole without superradiant instability, even off-axis.
Djogama, Khairunnisa, Prihadi, and Zen construct a traversable wormhole in the two-sided Kerr background using fermion fields instead of the usual bosonic perturbations. Working in the near-horizon, near-extremal limit dual to a CFT, they couple left and right boundaries; the resulting first-order correction to the two-point function contributes negative energy that opens the wormhole. Lacking fermionic superradiance, the construction remains stable in off-axis regions where bosonic fields fail. Traversability peaks when the perturbation is turned on early; at late times, the average null energy exhibits damped oscillation before vanishing. Lower-temperature wormholes are less traversable. The result extends the toolkit for analog traversable geometries into parameter regimes inaccessible to scalar fields.
[Kerr/CFT Traversable Wormhole with Fermionic Double-Trace Deformation — arXiv:2605.05011]
Bridge watch
No bridge candidate this week. The ingest yielded only high-level analog-gravity theory; no paper connects distinct enabling categories or demonstrates cross-level integration.
Falsification watch
No criteria moved. F1 (topological scalability), F2 (vacuum transduction thermodynamics), F3 (metric engineering substrates), F4 (inertial invariance), and F5 (cross-level structural emptiness) all remain at their prior positions. This week’s candidates contribute theoretical elaboration within L5 analog gravity but do not offer new experimental evidence bearing on any falsification threshold.
Catalog movement
No changes this week.
title: Time as renormalization, magic in horizons, fermions through wormholes
subtitle: A theory-only week: RG-time duality, nonlocal entanglement in pair creation, stable Kerr traversability