Reference Frame Induced Symmetry Breaking on Holographic Screens

Any interaction between finite quantum systems in a separable joint state can be viewed as encoding classical information on an induced holographic screen. Here we show that when such an interaction is represented as a measurement, the quantum reference frames (QRFs) deployed to identify systems and pick out their pointer states induce decoherence, breaking the symmetry of the holographic encoding in an observer-relative way. Observable entanglement, contextuality, and classical memory are, in this representation, logical and temporal relations between QRFs. Sharing entanglement as a resource requires a priori shared QRFs.

Holographic Screens Are Classical Information Channels

The ideas of classical communication and holographic encoding arise in different parts of physics. Here, we show that they are equivalent. This allows for us to reformulate the holographic principle independently of spacetime, as the principle that holographic screens encode interaction eigenvalues.

holographic screens and holographic focusing

holographic screens and holographic focusing

Entropic force law in the presence of a noncommutative inspired space–time for a solar system scale

We first study some aspects of a physically inspired noncommutative spherically symmetric space–time based on the Gaussian-smeared mass distribution for a solar system scale. This leads to the elimination of a singularity apparent in the origin of the space–time. Afterwards, we investigate some features of Verlinde’s scenario in the presence of the mentioned space–time and derive several quantities, such as Unruh–Verlinde temperature, the energy, and the entropic force on three different types of holographic screens, namely, the static, the stretched horizon, and the accelerating surface.

Phase structures of holographic screen thermodynamics

Holographic screens are the generalization of the event horizon of a black hole in entropic force scheme, which are defined by setting Newton potential ϕ constant, i.e. e2ϕ = c = const. We demonstrate that the integrated first law of thermodynamics is equivalent to the (r-r) component of Einstein equations, so that we strengthen the correspondence between thermodynamics and gravity. We show that there are not only the first law of thermodynamics, but also kinds of phase transitions of holographic screens. These phase transitions are characterized by the discontinuity of their heat capacities. In (n+1)-dimensional Reissner–Nordström–anti-de Sitter (RN-AdS) spacetime, we analyze three kinds of phase transitions, which are of the holographic screens with Q = 0 (charge), constant Φ (electrostatic potential) and nonzero constant Q. In the Q = 0 case, only the holographic screens with 0≤c<1 can undergo phase transition. In the constant Φ case, the constraints become as [Formula: see text], where [Formula: see text] is a dimensional-dependent parameter. By verifying the Ehrenfest equations, we show that the phase transitions in this case are all second order phase transitions. In the constant Q case, there might be two, or one, or no phase transitions of holographic screens, depending on the values of Q and c.