Entropy Bounds: New Insights

In this paper we review the fundamental concepts of entropy bounds put forward by Bousso and its relation to the holographic principle. We relate covariant entropy with logarithmic distance of separation of nearby geodesics. We also give sufficient arguments to show that the origin of entropy bounds is not indeed thermodynamic, but statistical.

Genre and Style Features of Dutch Symphonic Metal (on the Example of Epica)

The article is devoted to the work of the famous Dutch symphonic metal band Epica. The material highlights the genre and stylistic features of the music of this group, reveals the key features of the album concepts, determines the place of the band in the genre and style context of rock music in general and symphonic metal in particular. The genetic connection of symphonic met.al with progressive metal is revealed. On the example of Epica’s many-part compositions, which are based on various cultural sources and references to scientific theories, clothed in complex conceptual forms, the principle of “superhybridity” (J. Heiser’s term) is derived. As a formative principle of the group’s album triptych (The Quantum Enigma, The Holographic Principle, Omega), the concept of “metanarrative” (term by J.-F. Lyotard) is considered, the rehabilitation of which can be observed in the mainstream of the general processes of metamodernism in music. The author also refers to the developments of a number of researchers who have devoted their scientific works to the issues of terminology and typology of rock music.

Quantum Holography from Fermion Fields

In this paper, we demonstrate, in the context of Loop Quantum Gravity, the Quantum Holographic Principle, according to which the area of the boundary surface enclosing a region of space encodes a qubit per Planck unit. To this aim, we introduce fermion fields in the bulk, whose boundary surface is the two-dimensional sphere. The doubling of the fermionic degrees of freedom and the use of the Bogolyubov transformations lead to pairs of the spin network’s edges piercing the boundary surface with double punctures, giving rise to pixels of area encoding a qubit. The proof is also valid in the case of a fuzzy sphere.

Generalized Holographic Principle, Gauge Invariance and the Emergence of Gravity à la Wilczek

We show that a generalized version of the holographic principle can be derived from the Hamiltonian description of information flow within a quantum system that maintains a separable state. We then show that this generalized holographic principle entails a general principle of gauge invariance. When this is realized in an ambient Lorentzian space-time, gauge invariance under the Poincaré group is immediately achieved. We apply this pathway to retrieve the action of gravity. The latter is cast à la Wilczek through a similar formulation derived by MacDowell and Mansouri, which involves the representation theory of the Lie groups SO(3,2) and SO(4,1).

Entropic Uncertainty Principle, Partition Function and Holographic Principle derived from Liouville's Theorem

An entropic version of Liouville’s theorem is defined in terms of the conjugate variables (“hyperbolic position” and “entropic momentum”) of an entropic Hamiltonian. It is used to derive the Holographic Principle as applied to holomorphic structures that represent maximum entropy configurations. The Bekenstein-Hawking expression for black hole entropy is a consequence. Based on the entropic commutator derived from Liouville’s theorem and the same entropic conjugate variables, an entropic Uncertainty Principle (in units of Boltzmann’s constant) isomorphic to the kinematic Uncertainty Principle (in units of Planck’s constant) is also derived. These formal developments underpin the previous treatment of Quantitative Geometrical Thermodynamics (QGT) which has established (entirely on geometric entropy grounds) the stability of the double-helix, the double logarithmic spiral, and the sphere. Since in the QGT formalism the Boltzmann and Planck constants are quanta of quantities orthogonal to each other in Minkowski spacetime, a solution of the Schrödinger Equation is demonstrated isomorphic to a probability term of an entropic Partition Function, where both are defined by path integrals obeying the stationary principle: this isomorphism represents an important symmetry of the formalism. The geometry of a holomorphic structure must also exhibit at least C2 symmetry.

Radial cutoffs and holographic entanglement

Tensor networks, $$ T\overline{T} $$ T T ¯ , and broader notions of a holographic principle all motivate the idea that some notion of gravitational holography should persist in the presence of a radial cutoff. But in the absence of time-reflection symmetry, the areas of Hubeny-Rangamani-Takayanagi surfaces anchored to the radial cutoff generally violate strong sub-additivity, even when the associated boundary regions are spacelike separated as defined by both bulk and boundary notions of causality. We thus propose an alternate definition of cutoff-holographic entropy using a restricted maximin prescription anchored to a codimension 2 cutoff surface. For bulk solutions that respect the null energy condition, we show that the resulting areas satisfy SSA, entanglement wedge nesting, and monogamy of mutual information in parallel with cutoff free results in AdS. These results hold even when the cutoff surface fails to be convex.

Falsification of string theory - Thermal effects of quantum radiation

We know that string theory is purely geometric.It believes that, through the holographic principle, quantum effects can be generated by projecting onto the lower dimensional multidimensional geometry.There is a corollary here that quantum radiation cannot produce thermal effects.In this paper, in the case of superradiation, the boson boundary condition is presupposed first, which is possible to obtain higher energy than the traditional quantum effect, while the extra energy belongs to the classical domain, namely heat.