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We present a further argument that typical black holes with field theory duals have firewalls at the horizon. This argument makes no reference to entanglement between the black hole and any distant system, and so is not evaded by…

High Energy Physics - Theory · Physics 2013-10-30 Donald Marolf , Joseph Polchinski

A new apparent relativistic paradox is presented involving only one space-time event. This is different from earlier relativistic paradoxes involving extended bodies or events at different positions. A collision between a rod and a ring…

General Physics · Physics 2022-02-03 Oyvind Gron , Eirik Berntsen

It has frequently been claimed in the literature that the classical physical predictions of scalar tensor theories of gravity depend on the conformal frame in which the theory is formulated. We argue that this claim is false, and that all…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eanna E. Flanagan

The Hamiltonian structure of General Relativity (GR), for both metric and tetrad gravity in a definite continuous family of space-times, is fully exploited in order to show that: i) the "Hole Argument" can be bypassed by means of a specific…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Luca Lusanna , Massimo Pauri

We present the Hamiltonian formulation of General Relativity with the Holst formulation in a generic local Lorentz frame. In particular, we outline that a Gauss constraint is inferred by a proper generalization of Ashtekar-Barbero-Immirzi…

General Relativity and Quantum Cosmology · Physics 2009-04-06 Francesco Cianfrani , Giovanni Montani

A free system, considered to be a comparison system, allows for the notion of objective existence and inertial frame. Transformations connecting inertial frames are shown to be either Lorentz or generalized Galilei.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ruggiero de Ritis , Giuseppe Marmo , Bruno Preziosi

Black holes play a pivotal role in the foundations of physics, but there is an alarming discrepancy between what is considered to be a black hole in observational astronomy and theoretical studies. Despite claims to the contrary, we argue…

General Relativity and Quantum Cosmology · Physics 2023-12-15 Sebastian Murk

Assumption-based Argumentation (ABA) is advocated as a unifying formalism for various forms of non-monotonic reasoning, including logic programming. It allows capturing defeasible knowledge, subject to argumentative debate. While, in much…

Artificial Intelligence · Computer Science 2024-11-11 Emanuele De Angelis , Maurizio Proietti , Francesca Toni

Algorithmic recourse provides individuals who receive undesirable outcomes from machine learning systems with minimum-cost improvements to achieve a desirable outcome. However, machine learning models often get updated, so the recourse may…

Machine Learning · Computer Science 2026-04-28 Kshitij Kayastha , Vasilis Gkatzelis , Shahin Jabbari

A new approach is suggested to characterize algebraically automorphisms of the category of free algebras of a given variety. It gives in many cases an answer to the problem set by the first of authors, if automorphisms of such a category…

Category Theory · Mathematics 2007-05-23 Boris Plotkin , Grigori Zhitomirski

To the best of our knowledge, a complete characterization of the domains that escape the famous Arrow's impossibility theorem remains an open question. We believe that different ways of proving Arrovian theorems illuminate this problem.…

Theoretical Economics · Economics 2024-07-23 Isaac Lara , Sergio Rajsbaum , Armajac Raventós-Pujol

Jim Weatherall has suggested that Einstein's hole argument, as presented by Earman and Norton (1987), is based on a misleading use of mathematics. I argue on the contrary that Weatherall demands an implausible restriction on how mathematics…

History and Philosophy of Physics · Physics 2015-09-22 Bryan W. Roberts

Baroque questions of set-theoretic foundations are widely assumed to be irrelevant to physics. In this article, I demonstrate that this assumption is incorrect. I show that the fundamental physical question of whether a theory is…

Logic · Mathematics 2025-10-21 Justin Clarke-Doane

The semantic paradoxes are associated with self-reference or referential circularity. However, there are infinitary versions of the paradoxes, such as Yablo's paradox, that do not involve this form of circularity. It remains an open…

Combinatorics · Mathematics 2021-04-13 Brian Rabern , Landon Rabern

We evaluate the roles general relativistic assumptions play in simulations used in recent observations of black holes including LIGO-Virgo and the Event Horizon Telescope. In both experiments simulations play an ampliative role, enabling…

History and Philosophy of Physics · Physics 2025-02-18 Juliusz Doboszewski , Jamee Elder

This paper reports a modified axiomatic foundation of the analytic hierarchy process (AHP), where the reciprocal property of paired comparisons is broken. The novel concept of reciprocal symmetry breaking is proposed to characterize the…

Information Theory · Computer Science 2021-08-05 Fang Liu , Wei-Guo Zhang

We consider the effects of Gravity's Rainbow on the computation of black hole entropy using a dynamical brick wall model. An explicit dependence of the radial coordinate approaching the horizon is proposed to analyze the behavior of the…

General Relativity and Quantum Cosmology · Physics 2018-01-17 Remo Garattini

Recent modern space missions deliver invaluable information about origin of our universe, physical processes in the vicinity of black holes and other exotic astrophysical objects, stellar dynamics of our galaxy, etc. On the other hand,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin

The debate on the physical relevance of conformal transformations can be faced by taking the Palatini approach into account to gravitational theories. We show that conformal transformations are not only a mathematical tool to disentangle…

High Energy Physics - Theory · Physics 2009-11-10 Gianluca Allemandi , Monica Capone , Salvatore Capozziello , Mauro Francaviglia

Both AdS/CFT duality and more general reasoning from quantum gravity point to a rich collection of boundary observables that always evolve unitarily. The physical quantum gravity states described by these observables must be solutions of…

High Energy Physics - Theory · Physics 2021-11-05 Ted Jacobson