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Einstein and Rastall theories of gravitation in comparison

Visser’s ones. We indeed argue that these two theories are not equivalent. In fact, Rastall theory of gravity is an “open” theory when compared to Einstein general theory of relativity. Thus, it is ready to ... [ 8,9 ]. A key point is that all of the potential alternatives to Einstein’s general theory of relativity (GTR) must be viable. This implies that alternative theories must be in agreement with the

Relativity Theory Refounded

elaborated for quantum mechanics to relativity theory and in such a way that time and space become creations instead of discoveries and an underlying non temporal and non spatial reality comes into existence ... of relativity theory that makes the existence of a flow of time compatible with the four-dimensional block universe. To this end, we apply the creation-discovery view elaborated for quantum mechanics

Equivalent Theories and Changing Hamiltonian Observables in General Relativity

Change and local spatial variation are missing in Hamiltonian general relativity according to the most common definition of observables as having 0 Poisson bracket with all first-class constraints ... .: Classical and quantum field theories in the Lagrangian formalism . Phys. Rev . 89 , 4 - 16 ( 1953 ) 10. Boulware , D.G. , Deser , S. : Can gravitation have a finite range? Phys. Rev. D 6 , 3368 - 3382 ( 1972

Generalised Spin Structures in General Relativity

Generalised spin structures describe spinor fields that are coupled to both general relativity and gauge theory. We classify those generalised spin structures for which the corresponding fields admit ... are coupled to general relativity (GR) as well as gauge theory. In the absence of gauge fields, space–time transformations of spinors coupled to GR can be understood by considering pairs (g, ψ) of a

Tunneling decay of false vortices with gravitation

effect on vacuum decay. After studying the existence and properties of vortices, we study their decay rate through quantum tunneling using a variety of techniques. In particular, for so-called thin-wall ... -breaking φ4 potential), vortices are built out of the true vacuum and are stable both classically and quantum mechanically. (Their classical stability is easy to see: the potential and scalar field gradient

General relativity from causality

causal. This makes the spin 2 case very special, and suggests that multiple species of spin 2 is forbidden, leading us to general relativity as essentially the unique internally consistent effective theory ... 2 case very special, and suggests that multiple species of spin 2 is forbidden, leading us to general relativity as essentially the unique internally consistent e ective theory of spin 2. Classical

The classical double copy in maximally symmetric spacetimes

are inherently gravitational, for example horizons. In this sense, when performing the classical copies, one loses information. This is similar to the observation that information of the gauge theory is ... instabilities in the gauge and scalar theory. Nevertheless, a more detailed study of this should be performed. Some of our results, obtained by using the classical double copy procedure, are yet to nd a

Towards apparent convergence in asymptotically safe quantum gravity

correspond to classical general relativity and further show non-classical behaviour in some fluctuation couplings. We also find signatures for the apparent convergence of the systematic vertex expansion. This ... observables of the theory. The flow equations for the background couplings are displayed in Appendix 1. In general we look for trajectories that correspond to classical general relativity in the IR. This

Three waves for quantum gravity

Using effective field theoretical methods, we show that besides the already observed gravitational waves, quantum gravity predicts two further massive classical fields leading to two new massive ... that direction were due to Feynman who has calculated quantum amplitudes using linearized general relativity [ 1 ]. Modern effective field theory techniques were introduced in the seminal works of

A Cohomological Perspective on Algebraic Quantum Field Theory

Algebraic quantum field theory is considered from the perspective of the Hochschild cohomology bicomplex. This is a framework for studying deformations and symmetries. Deformation is a possible ... constructing interacting QFTs is by deformation—either deforming a free QFT into an interacting one or deforming an interacting classical field theory into a quantum one. This is analogous to deforming a

Circuit complexity in quantum field theory

Motivated by recent studies of holographic complexity, we examine the question of circuit complexity in quantum field theory. We provide a quantum circuit model for the preparation of Gaussian states ... theory for general dimensions. Applying the geometric approach of Nielsen to this quantum circuit model, the complexity of the state becomes the length of the shortest geodesic in the space of circuits. We

The Present Situation in Quantum Theory and its Merging with General Relativity

We discuss the problems of quantum theory (QT) complicating its merging with general relativity (GR). QT is treated as a general theory of micro-phenomena—a bunch of models. Quantum mechanics (QM ... collaborations with W. Mayer, as part of his program for the unified field theory, but, again, conceived as a classical-like field theory, modeled on general relativity, and in opposition to quantum mechanics and

Free Fermions and the Classical Compact Groups

classical compact groups. The associated determinantal point processes can be extended in two natural directions: (i) we consider the full family of admissible quantum boundary conditions (i.e., self-adjoint ... of the resulting grand canonical matrix models (of random size) corresponds exactly to the grand canonical measure of free fermions with classical boundary conditions. Random matrix theory and

Scalar radiation from a radially infalling source into a Schwarzschild black hole in the framework of quantum field theory

We investigate the radiation to infinity of a massless scalar field from a source falling radially towards a Schwarzschild black hole using the framework of the quantum field theory at tree level ... Field Theory (CFT) [2–17]. The investigation of this kind of problems from the viewpoint of the Quantum Field Theory (QFT) has not been carried out. The formalism of QFT applied to the problem of

Metric for a Temporal Manifold Derived from Special Relativity and Newtonian Classical Gravitational Potential

einsteinschen theorie. Sitzungs-berichte der Deutschen Akademie der Wissenschaften zu Berlin 3. Halliday , David., & Resnick , Robert. ( 1985 ) Basic Concepts In Relativity And Early Quantum Theory . John Wiley ... teaching path from classical Newtonian gravitational force to a minimum first order accuracy of General Relativity. The method can be used much in the same manner as a simple transformation is used in

Quantum deformation of planar amplitudes

Grassmannian that are invariant with respect to the torus action. (This Grassmannian was constructed in the framework of quantum group theory.) We come to the idea that the theory of [1] can be quantized (more ... amplitudes can be q-deformed to Hochschild homology classes of corresponding quantum algebras. The planar amplitudes are represented as sums of contributions of some set of positroid cells; we quantize these

Editorial introduction to the special issue “The Renaissance of Einstein’s Theory of Gravitation

last of a series of papers that contained the final and fundamental equation of his theory of gravitation, which he called General Relativity (Einstein 1915, 1916) . This equation contains the field ... investigate the historical trajectory of Einstein’s theory of gravitation. In spite of the celebratory character of the issue, we decided not to focus on the early history of General Relativity. Einstein’s own

Gravitation and quadratic forms

dimensions, may be written as quadratic forms. We examine the e ect of residual reparametrizations on the Hamiltonian and the resulting Classical Theories of Gravity; Gauge Symmetry; Supergravity Models; Su ... Introduction pure Yang-Mills theory and N ing another reliable indicator of hidden symmetries. We hope that the quadratic form to the recent work of [4]. x = p ( x1 + i x2 ) ; @ = p ( @1 i @2 ) : vanishes, the

Exact RG flow equations and quantum gravity

alternative discussions of this so-called reconstruction problem for the e ective average action The quantum theory corresponding to a given classical action I[ ] is given by the quantum e ective action ( c) de ... address the question of observables in quantum gravity. It is of course well-known that only quantities which are di eomorphism invariant are observables in the theory. What the asymptotic safety program

Quantum gravity from conformal field theory

We bootstrap loop corrections to AdS5 supergravity amplitudes by enforcing the consistency of the known classical results with the operator product expansion of \( \mathcal{N} \) = 4 super Yang-Mills ... dimensions. 1/N Expansion; AdS-CFT Correspondence; Conformal Field Theory; Inte- - Quantum 1 Introduction and summary 2 3 4 5 6 7 8 Four-point functions of half-BPS multiplets The operator product