The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.
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Non-invertible Gauss laws on lattices preserve Haag duality exactly only on cuspless regions; cusped regions require a collar, and group double models satisfy disjoint additivity.
q-Askey deformations of DSSYK produce transfer matrices from basic orthogonal polynomials whose chord numbers map to ER bridge lengths and signal geometric transitions with discrete spectra in sine dilaton gravity.
For zero-mean Gaussian states in free field theory, excitability from one state to another is equivalent to three explicit two-point-function conditions, and one-way excitability automatically implies two-way excitability (quasiequivalence).
In the Gravity from Entropy framework, spherically symmetric black holes acquire r^{-4} corrections to Schwarzschild geometry, with large-mass evaporation at constant rate -β/24 and intermediate-mass loss following the classical Hawking M^{-2} scaling.
Large N symmetric orbifold CFTs decompose into superselection sectors that behave as closed universes, with each physical sector becoming one-dimensional after gauging, matching gravitational expectations.
Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specific regions while depending on Krylov complexity of the Hartle-Hawking state.
For isotropic cosmologies in the Gravity from Entropy theory, spacetimes carry k-temperatures and k-pressures satisfying a first law, and Friedmann universes have non-decreasing total entropy.
A semiclassical construction of fiducial observers in JT gravity, fixed by conformal isometry flow, is extended to the quantum regime to compute wormhole contributions yielding finite thermal entropy and a quantum description of the stretched horizon.
Reconstructs spacetime metric, curvature, and Einstein equations from matter field operator algebras in the G to 0 limit without using Bekenstein-Hawking area law, then models finite-N discrete spectra via random matrix completion of enlarged type III algebras.
Dressed relational observables imply quasi-de Sitter space corresponds to Type II_∞ von Neumann algebra with diverging trace in the gravity decoupling limit, unlike the finite-trace Type II_1 algebra for de Sitter space.
citing papers explorer
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The von Neumann algebraic quantum group $\mathrm{SU}_q(1,1)\rtimes \mathbb{Z}_2$ and the DSSYK model
The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.
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Algebraic locality and non-invertible Gauss laws
Non-invertible Gauss laws on lattices preserve Haag duality exactly only on cuspless regions; cusped regions require a collar, and group double models satisfy disjoint additivity.
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q-Askey Deformations of Double-Scaled SYK
q-Askey deformations of DSSYK produce transfer matrices from basic orthogonal polynomials whose chord numbers map to ER bridge lengths and signal geometric transitions with discrete spectra in sine dilaton gravity.
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Excitability in quantum field theory
For zero-mean Gaussian states in free field theory, excitability from one state to another is equivalent to three explicit two-point-function conditions, and one-way excitability automatically implies two-way excitability (quasiequivalence).
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Spherically symmetric black holes in Gravity from Entropy and spontaneous emission
In the Gravity from Entropy framework, spherically symmetric black holes acquire r^{-4} corrections to Schwarzschild geometry, with large-mass evaporation at constant rate -β/24 and intermediate-mass loss following the classical Hawking M^{-2} scaling.
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Emergent Closed Universes in Symmetric Orbifold CFTs
Large N symmetric orbifold CFTs decompose into superselection sectors that behave as closed universes, with each physical sector becoming one-dimensional after gauging, matching gravitational expectations.
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Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity
Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specific regions while depending on Krylov complexity of the Hartle-Hawking state.
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Thermodynamics of the Gravity from Entropy theory
For isotropic cosmologies in the Gravity from Entropy theory, spacetimes carry k-temperatures and k-pressures satisfying a first law, and Friedmann universes have non-decreasing total entropy.
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Fiducial observers and the thermal atmosphere in the black hole quantum throat
A semiclassical construction of fiducial observers in JT gravity, fixed by conformal isometry flow, is extended to the quantum regime to compute wormhole contributions yielding finite thermal entropy and a quantum description of the stretched horizon.
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Spacetime from Operator Algebras
Reconstructs spacetime metric, curvature, and Einstein equations from matter field operator algebras in the G to 0 limit without using Bekenstein-Hawking area law, then models finite-N discrete spectra via random matrix completion of enlarged type III algebras.
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Implication of dressed form of relational observable on von Neumann algebra
Dressed relational observables imply quasi-de Sitter space corresponds to Type II_∞ von Neumann algebra with diverging trace in the gravity decoupling limit, unlike the finite-trace Type II_1 algebra for de Sitter space.
- Semiclassical algebraic reconstruction for type III algebras
- Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography