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A qualitatively new, much more liberal and efficient organisation of science is proposed and justified, in connection with growing debate about further role and development of fundamental science. Although the key ideas can be explained…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

We prove a new duality theorem for the category of precontact algebras which implies the Stone Duality Theorem, its connected version obtained in arXiv:1508.02220v3, 1-44 (to appear in Topology Appl.), the recent duality theorems of…

General Topology · Mathematics 2016-03-04 G. Dimov , E. Ivanova-Dimova , D. Vakarelov

In this short note, we expose some of the works on Serre intersection multiplicity conjecture. I provide a proof of the vanishing of Serre intersection multiplicity in non-proper intersection over a regular ring based on the intersection…

Algebraic Geometry · Mathematics 2019-07-18 Mohammad Reza Rahmati

We propose a new bi-intuitionistic type theory called Dualized Type Theory (DTT). It is a simple type theory with perfect intuitionistic duality, and corresponds to a single-sided polarized sequent calculus. We prove DTT strongly…

Logic in Computer Science · Computer Science 2019-03-14 Harley Eades , Aaron Stump , Ryan McCleeary

The article discusses the demarcation problem; how to distinguish between science and pseudoscience. It then examines the string theory under various demarcation criteria to conclude that string theory cannot be considered as science.

Popular Physics · Physics 2016-06-15 Asis Kumar Chaudhuri

Leibniz scholarship is currently an area of lively debate. We respond to some recent criticisms by Archibald et al.

A semantic analysis of formal systems is undertaken, wherein the duality of their symbolic definition based on the "State of Doing" and "State of Being" is brought out. We demonstrate that when these states are defined in a way that opposes…

General Mathematics · Mathematics 2018-07-26 Arun Uday

We discuss various dualities, relating integrable systems and show that these dualities are explained in the framework of Hamiltonian and Poisson reductions. The dualities we study shed some light on the known integrable systems as well as…

High Energy Physics - Theory · Physics 2009-10-31 V. Fock , A. Gorsky , N. Nekrasov , V. Rubtsov

From the method of realization of bialgebras developped in a preceding paper, we obtain the Duality Theorem and apply it to the study of the ideal of relations for each realized bialgebra. This is detailed in the english version of the…

Quantum Algebra · Mathematics 2007-05-23 Eric Mourre

This thesis discusses various aspects of duality in quantum field theory and string theory. In the first part we consider duality in topological quantum field theories, concentrating on the Donaldson and Seiberg-Witten theories as (dual)…

High Energy Physics - Theory · Physics 2007-05-23 Kasper Olsen

This paper provides an overview of recent historical research regarding scientifically-informed challenges to the idea that the stars are other suns orbited by other inhabited earths -- an idea that came to be known as "the Plurality of…

History and Philosophy of Physics · Physics 2024-09-18 Christopher M. Graney

The nature of this paper is twofold: On one hand, we will give a short introduction and overview of the theory of model sets in connection with nonperiodic substitution tilings and generalized Rauzy fractals. On the other hand, we will…

Metric Geometry · Mathematics 2007-05-23 D. Frettlöh

We investigate (non-)Abelian T-duality from the perspective of Poisson-Lie T-plurality. We show that sigma models related by duality/plurality are given not only by Manin triples obtained from decompositions of Drinfel'd double, but also by…

High Energy Physics - Theory · Physics 2019-05-06 Ladislav Hlavaty , Ivo Petr

Paper has been accepted for publication in the Journal f\"ur die reine und Angewandte Mathematik. This version contains the corrections and additional references made in the Galley proofs.

Commutative Algebra · Mathematics 2018-01-16 David Eisenbud , Bernd Ulrich

Quark-hadron duality and its potential applications are discussed. We focus on theoretical efforts to model duality.

High Energy Physics - Phenomenology · Physics 2017-08-23 Sabine Jeschonnek , J. W. Van Orden

Using Singular Rescaling We Prove Some Bifurcation Results. This note Presents short proofs for some Bifurcation results which had been appeared with other authors.

Dynamical Systems · Mathematics 2024-04-16 Ali Taghavi

This expository article delves into the Greenlees-May Duality Theorem which is widely thought of as a far-reaching generalization of the Grothendieck's Local Duality Theorem. This theorem is not addressed in the literature as it merits and…

Commutative Algebra · Mathematics 2017-06-20 Hossein Faridian

In this short note we show, providing counterexamples, that the "two important theorems" in the recent paper [Y, Yuan, Global optimization solutions to a class of non-convex quadratic minimization problems with quadratic constraints, in…

Optimization and Control · Mathematics 2018-08-16 C. Zalinescu

This paper has been withdrawn by the author because similar published work on the topic was overlooked. See S. Deser and A. Waldron, Nucl. Phys. B 631, 369-387 (2002).

High Energy Physics - Theory · Physics 2007-12-15 Teymour Darkhosh

This report seeks to inform policy makers on the nature and the merit of the arguments for and against the concerns associated with a potential technological singularity. Part I describes the lessons learned from our investigation of the…

Artificial Intelligence · Computer Science 2016-02-12 Amnon H. Eden