Speaker
Description
We formulate a continuous operator-algebraic recovery path for black-hole information based on modular (L^p)-interpolation. The starting point is the canonical shift of algebraic teleportation, which relocates hidden information from one relative commutant to another. In local quantum field theory, this finite-step picture cannot be implemented through ordinary tensor-factor decompositions because the relevant local algebras are Type III. We therefore pass to the crossed-product envelope and identify the recovery parameter with the noncommutative (L^p)-scale.
The resulting path describes a continuous information-resolution process between the full algebraic description and a coarse-grained endpoint. Its boundary direction is generated by the modular momentum associated with the interpolation. We show that the lifted canonical shift has a well-defined boundary generator and that this generator equals twice the modular momentum on the common analytic core. This is a boundary tangent statement, while the interior of the path is controlled by the analyticity of the (L^p)-interpolation.
In geometrically covariant cases, such as half-sided modular inclusions, the modular momentum is realized as a generator of null translations. The continuum limit of the canonical shift then acquires the infinitesimal form of a spacetime translation. In this precise sense, the construction gives an operator-algebraic realization of the principle “teleportation = translation” for Type III black-hole algebras.
