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After a brief discussion of the history of the problem, we propose a generalization of the map colouring problem to higher dimensions.

Combinatorics · Mathematics 2012-02-02 Bhaskar Bagchi , Basudeb Datta

It is demonstrated that the reason for the diversity of interpretations of quantum mechanics is that they are not connected by continuity relations with classical physics, and also the reason is the impossibility of operationalist…

History and Philosophy of Physics · Physics 2016-02-09 Evgeny Bezlepkin

Reasoning does not work well when done in isolation from its significance, both to the needs and interests of an agent and with respect to the wider world. Moreover, those issues may best be handled with a new sort of data structure that…

Artificial Intelligence · Computer Science 2016-08-24 Don Perlis

In classes on cosmology, students are often told that photons stretch as space expands, but just how physical is this picture? Does space really expand? In this article, we explore the notion of the redshift of light with Einstein's general…

Popular Physics · Physics 2016-06-08 Geraint F. Lewis

Partial descriptions of the Universe are presented in the form of linear equations considered in the free (full, super) Fock space. The universal properties of these equations are discussed. The closure problem caused by computational and…

General Physics · Physics 2010-10-19 Jerzy Hanckowiak

Recent progress in artificial intelligence provides the opportunity to ask the question of what is unique about human intelligence, but with a new comparison class. I argue that we can understand human intelligence, and the ways in which it…

Artificial Intelligence · Computer Science 2020-09-30 Thomas L. Griffiths

In three spacetime dimensions, general relativity drastically simplifies, becoming a ``topological'' theory with no propagating local degrees of freedom. Nevertheless, many of the difficult conceptual problems of quantizing gravity are…

General Relativity and Quantum Cosmology · Physics 2015-06-25 S. Carlip

There is no known fundamental reason to demand as a cosmological initial condition that the bulk possess an SO(3,1) isometry. On the contrary, one expects bulk curvature terms that violate the SO(3,1) isometry at early epochs, leading to a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Daniel J. H. Chung , Edward W. Kolb , Antonio Riotto

A generalized view of Duality is offered as a bridge between physical sciences and the more abstract philosophical dimensions bordering on mysticism. To that end several examples of duality are first cited from from conventional physics…

General Physics · Physics 2007-05-23 A. N. Mitra

The fundamental physical theories that interpret and explain behaviour of matter in nature are dependent on several unobservables and insensibles in their construction. While a rigorous natural philosophy cannot take them for granted, there…

History and Philosophy of Physics · Physics 2020-01-29 C. S. Unnikrishnan

Cosmology differs in some respects significantly from other sciences, primarily because of its intimate association with issues of a conceptual and philosophical nature. Because cosmology in the broader sense relates to the world views held…

History and Philosophy of Physics · Physics 2012-12-10 Helge Kragh

The paper discusses the problem of demarcation between the dimensions of natural and the human sciences in contemporary cosmology. In spite of a common presumption that cosmology is a natural science, the specificity of its alleged subject…

General Physics · Physics 2011-02-16 Alexei V. Nesteruk

A natural explanation of confinement can be given in terms of symmetry. Since color symmetry is exact, the candidate symmetry is dual and related to homotopy,i.e., in (3+1)d, to magnetic charge conservation. A set of r abelian 'tHooft-like…

High Energy Physics - Lattice · Physics 2009-10-28 A. Di Giacomo

In this perspective article, we discuss the challenges of imaging assemblies of particles in three dimensions. Starting from a brief motivation for the investigation of particulate materials, we provide an overview of experimental…

Soft Condensed Matter · Physics 2022-11-15 Matthias Schröter , Chen Lyu , Jiayun Huang , Kai Huang

In each of the last five years, a few dozen empirical studies appeared in visualization journals and conferences. The existing empirical studies have already featured a large number of variables. There are many more variables yet to be…

Human-Computer Interaction · Computer Science 2020-09-29 Min Chen , Alfie Abdul-Rahman , David H. Laidlaw

The representations of the world around in physics built with help of causality are analyzed and seems incomplete. The observer's causal representations form a closed logical system, i.e. the compact group related to cause-effect chains.…

General Physics · Physics 2010-11-02 A. V. Novikov-Borodin

We argue, through some philosophical considerations, on (i)dependent or (ii) an independent existence of physical reality underlying quantum states. According these simple considerations, we conclude that is impossible to have a clear…

Quantum Physics · Physics 2007-05-23 Michele Caponigro , Helen Lynn

It is shown by very simple arguments that the observed 3+1 dimensionality of spacetime may be understood on the basis of four fundamental principles of physics namely, Causality, General Covariance, Gauge Invariance and Renormalizability.…

General Physics · Physics 2013-03-25 Rajat K. Pradhan

The question of the nature of space around us has occupied thinkers since the dawn of humanity, with scientists and philosophers today implicitly assuming that space is something that exists objectively. Here we show that this does not have…

Artificial Intelligence · Computer Science 2013-08-12 Alexander V. Terekhov , J. Kevin O'Regan

Time can be defined as the duration between events. It is irreversible. When used as a variable in quantifying the changing properties of matter, this irreversibility of time is incompatible with Newton's deterministic mechanics and with…

chao-dyn · Physics 2007-05-23 X. de Hemptinne