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We discuss the possibility of making the {\it initial} definitions of mutually different (possibly interacting, or even entangled) systems in the context of decoherence theory. We point out relativity of the concept of elementary physical…

Quantum Physics · Physics 2012-02-21 Miroljub Dugic

Along with weaving together observations, experiments, and theoretical constructs into a coherent mesh of understanding of the world around us, physics over its past five centuries has continuously refined the base concepts on which the…

History and Philosophy of Physics · Physics 2017-04-05 A. R. P. Rau

In mathematics information is a number that measures uncertainty (entropy) based on a probabilistic distribution, often of an obscure origin. In real life language information is a datum, a statement, more precisely, a formula. But such a…

Artificial Intelligence · Computer Science 2022-05-17 Anatol Slissenko

The paper starts with the proposal that the cause of the apparent insolubility of the free-will problem are several popular but strongly metaphysical notions and hypotheses. To reduce the metaphysics, some ideas are borrowed from physics. A…

History and Philosophy of Physics · Physics 2015-05-13 Petr Hajicek

Quantum mechanics is a cornerstone of our current understanding of nature and extremely successful in describing physics covering a huge range of scales. However, its interpretation remains controversial since the early days of quantum…

Quantum Physics · Physics 2025-05-16 Zeng-Bing Chen

Information algebra is algebraic structure for local computation and inference. Given an initial universe set and a parameter set, we show that a soft set system over them is an information algebra. Moreover, in a soft set system, the…

Information Theory · Computer Science 2012-01-17 Xuechong Guan , Yongming Li

The concept of infinity took centuries to achieve recognized status in the field of mathematics, despite the fact that it was implicitly present in nearly all mathematical endeavors. Here I explore the idea that a similar development might…

History and Philosophy of Physics · Physics 2016-08-25 Don Perlis

Traditionally, semantics has been seen as a feature of human language. The advent of the information era has led to its widespread redefinition as an information feature. Contrary to this praxis, I define semantics as a special kind of…

Artificial Intelligence · Computer Science 2012-01-05 Emanuel Diamant

We review a recent approach to the foundations of quantum mechanics inspired by quantum information theory. The approach is based on a general framework, which allows one to address a large class of physical theories which share basic…

Quantum Physics · Physics 2015-06-04 G. Chiribella , C. M. Scandolo

I bring forward some arguments to support the thesis that nature is fundamentally discrete, and present my own thoughts about the direction in which one could look for a possible, consistent "theory of everything" describing gravitation and…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Daniel Canarutto

We present several philosophical ideas emerging from the studies of complex systems. We make a brief introduction to the basic concepts of complex systems, for then defining "abstraction levels". These are useful for representing…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Carlos Gershenson

It is high time to openly and without finalism define the dangerous but needed term 'purposeful information', whose quantity is an Eigen information value. Using the term 'biological information' in its stead forces one into an…

Adaptation and Self-Organizing Systems · Physics 2011-12-01 Andrzej Gecow

Metaphysical interpretations of set theory are either inconsistent or incoherent. The uses of sets in mathematics actually involve three distinct kinds of collections (surveyable, definite, and heuristic), which are governed by three…

History and Overview · Mathematics 2009-05-12 Nik Weaver

The universe we see gives every sign of being composed of matter. This is considered a major unsolved problem in theoretical physics. Using the mathematical modeling based on the algebra ${\bf{T}} := {\bf{C}}\otimes{\bf{H}}\otimes{\bf{O}}$,…

General Physics · Physics 2014-07-21 Geoffrey Dixon

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

Quantum mechanics---the theory describing the fundamental workings of nature---is famously counterintuitive: it predicts that a particle can be in two places at the same time, and that two remote particles can be inextricably and…

Some thoughts are presented on the inter-relation between beauty and truth in science in general and theoretical physics in particular. Some conjectural procedures that can be used to create new ideas, concepts and results are illustrated…

Statistical Mechanics · Physics 2009-11-10 Constantino Tsallis

Based on the Brillouin (negentropic) principle, we answer to the question: Does information have mass ? The obtained answer is affirmative and the mass associated to a bit of information (which is always a positive definite quantity) is…

General Relativity and Quantum Cosmology · Physics 2014-10-28 L. Herrera

The relationship between mathematics and physics has long been an area of interest and speculation. Subscribing to the recent definition by Tegmark, we present a mathematical structure involving the only division rings - the real,…

General Physics · Physics 2009-08-17 Lester C. Welch

Ascribing to inanimate matter a possibility to receive, work on and transfer information allows us to explain quantum-mechanical phenomena including "delayed-choice"- and "Einstein-Podolsky-Rosen (EPR)"-type experiments adhering to the…

General Physics · Physics 2007-05-23 Raoul Nakhmanson