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This paper provides a fresh perspective on the representation of distributive bilattices and of related varieties. The techniques of naturalduality are employed to give, economically and in a uniform way, categories ofstructures dually…

Rings and Algebras · Mathematics 2014-01-16 L. M. Cabrer , H. A. Priestley

In this paper I develop a framework for relating dualities and emergence: two notions that are close to each other but also exclude one another. I adopt the conception of duality as 'isomorphism', cashing it out in terms of three…

History and Philosophy of Physics · Physics 2015-09-10 Sebastian de Haro

We introduce a doubled formalism for the bosonic sector of the maximal supergravities, in which a Hodge dual potential is introduced for each bosonic field (except for the metric). The equations of motion can then be formulated as a twisted…

High Energy Physics - Theory · Physics 2009-10-07 E. Cremmer , B. Julia , H. Lu , C. N. Pope

We argue that recent developments in discretizations of classical and quantum gravity imply a new paradigm for doing research in these areas. The paradigm consists in discretizing the theory in such a way that the resulting discrete theory…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Rodolfo Gambini , Jorge Pullin

Dilaton gravity in two dimensions is briefly reviewed from the perspective of three dilaton potentials: One determines classical physics ("the good", denoted by w), the second is relevant for semi-classical (and quantum) effects ("the…

High Energy Physics - Theory · Physics 2007-05-23 D. Grumiller

Singularities in general relativity and quantum field theory are often taken not only to motivate the search for a more-fundamental theory (quantum gravity, QG), but also to characterise this new theory and shape expectations of what it is…

General Relativity and Quantum Cosmology · Physics 2021-12-17 Karen Crowther , Sebastian De Haro

Many quantum algorithms can be analyzed in a query model to compute Boolean functions where input is given by a black box. As in the classical version of decision trees, different kinds of quantum query algorithms are possible: exact,…

Quantum Physics · Physics 2012-03-24 Alina Dubrovska Vasilieva

A simple mathematical extension of quantum theory is presented. As well as opening the possibility of alternative methods of calculation, the additional formalism implies a new physical interpretation of the standard theory by providing a…

Quantum Physics · Physics 2020-03-17 Roderick Sutherland

The concept of gauge invariance can be considered one of the most subtle and useful concept in theoretical physics since it can permit the comprehension of difficult systems in physics with an arbitrary choice of a reference frame at every…

High Energy Physics - Theory · Physics 2010-01-19 E. M. C. Abreu , J. Ananias Neto , A. C. R. Mendes , C. Neves , W. Oliveira

Observables have a dual nature in both classical and quantum kinematics: they are at the same time \emph{quantities}, allowing to separate states by means of their numerical values, and \emph{generators of transformations}, establishing…

History and Philosophy of Physics · Physics 2018-08-01 Federico Zalamea

Taking into account the recent developments associated with duality in physics, this article is focused on investigating the properties of a tensor generalization of the electrodynamics dual to the standard vector model even considering the…

High Energy Physics - Theory · Physics 2024-03-19 G. B. de Gracia , B. M. Pimentel

Earlier, we had presented \cite{heuristic} heuristic arguments to show that a {\em natural unification} of the ideas of the quantum theory and those underlying the general principle of relativity is achievable by way of the measure theory…

General Physics · Physics 2007-05-23 Sanjay M. Wagh

Dualities in physics have challenged traditional forms of scientific realism by undermining the idea that theories describe a unique underlying ontology. In this paper, we develop a new perspective on scientific realism that responds to…

History and Philosophy of Physics · Physics 2025-12-22 Richard Dawid , Guilherme Franzmann

Based on the ideas of quantum physics and dual-process theory of human reasoning that takes into account two primary mechanisms of reasoning : 1) deductive rational thinking and 2) intuitive heuristic judgment, we proposed the "quantum"…

Physics and Society · Physics 2013-10-01 E. D. Vol

Dualities and duality transformations form a well established methodology in various aspects of quantum many body physics and quantum field theories, allowing one to exploit equivalence between models which may naively seem completely…

High Energy Physics - Theory · Physics 2025-09-30 Gertian Roose , Erez Zohar

String theories naturally exhibit dualities that lead to hidden symmetries in the low-energy effective description, which have been used to great effect to generate supergravity solutions. We review recent progress in using hidden…

High Energy Physics - Theory · Physics 2026-04-01 Yi Pang , Robert J. Saskowski

In this thesis we consider the problem of dynamics in canonical loop quantum gravity, primarily in the context of deparametrized models, in which a scalar field is taken as a physical time variable for the dynamics of the gravitational…

General Relativity and Quantum Cosmology · Physics 2021-01-01 Ilkka Mäkinen

Doubled $\alpha'$-geometry is the simplest higher-derivative gravitational theory with exact global duality symmetry. We use the double metric formulation of this theory to compute on-shell three-point functions to all orders in $\alpha'$.…

High Energy Physics - Theory · Physics 2016-06-08 Usman Naseer , Barton Zwiebach

I distinguish two senses in which one can take a given physical theory to be `complete'. On the first, a complete physical theory is one that, in principle, completely describes physical reality. On the second, a complete physical theory is…

Quantum Physics · Physics 2025-12-03 Michael E. Cuffaro

Two quantum theories which look different but are secretly describing the same low-energy physics are said to be dual to each other. When realized in the Topological Holography formalism, duality corresponds to changing the gapped boundary…

Strongly Correlated Electrons · Physics 2025-08-12 Robijn Vanhove , Vibhu Ravindran , David T. Stephen , Xiao-Gang Wen , Xie Chen
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