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Motivated by the application problem of sensor fusion the author introduced the concept of graded set. It is reasoned that in classification problem arising in an information system (represented by information table), a novel set called…

Artificial Intelligence · Computer Science 2014-06-18 Garimella Rama Murthy

There are several indications (from different approaches) that Spacetime at the Plank Scale could be discrete. One approach to Quantum Gravity that takes this most seriously is the Causal Sets Approach. In this approach spacetime is…

General Relativity and Quantum Cosmology · Physics 2009-11-05 David Rideout , Petros Wallden

We investigate the structure common to causal theories that attempt to explain a (part of) the world. Causality implies conservation of identity, itself a far from simple notion. It imposes strong demands on the universalizing power of the…

History and Philosophy of Physics · Physics 2023-04-11 Karin Verelst

It is often said that the relativistic fusion of time with space rules out genuine change or ``becoming''. I offer the classical sequential growth models of causal set theory as counterexamples.

General Relativity and Quantum Cosmology · Physics 2015-06-25 Rafael D. Sorkin

We present a novel derivation of special relativity based on the information physics of events comprising a causal set. We postulate that events are fundamental, and that some events have the potential to receive information about other…

Mathematical Physics · Physics 2010-08-31 Kevin H. Knuth , Newshaw Bahrenyi

Classically the causal order of two timelike separated events A and B is fixed -- either A before B or B before A. This is no longer true in quantum theory, where it is possible to encounter superpositions of causal orders. The quantum…

Correlation is not causation. As simple as this widely agreed-upon statement may seem, scientifically defining causality and using it to drive our modern biomedical research is immensely challenging. In this perspective, we attempt to…

Molecular Networks · Quantitative Biology 2024-01-19 Sebastian Lobentanzer , Pablo Rodriguez-Mier , Stefan Bauer , Julio Saez-Rodriguez

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

Quantum theory is a probabilistic theory with fixed causal structure. General relativity is a deterministic theory but where the causal structure is dynamic. It is reasonable to expect that quantum gravity will be a probabilistic theory…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Lucien Hardy

Quantum measurement predictions are consistent with relativity for macroscopic observations, but there is no consensus on how to explain this consistency in fundamental terms. The prevailing assumption is that the relativistic structure of…

History and Philosophy of Physics · Physics 2012-10-15 Edward J. Gillis

Causal spaces have recently been introduced as a measure-theoretic framework to encode the notion of causality. While it has some advantages over established frameworks, such as structural causal models, the theory is so far only developed…

Statistics Theory · Mathematics 2024-06-07 Simon Buchholz , Junhyung Park , Bernhard Schölkopf

Considering the sets of subsums of series (or achievement sets) we show that for conditionally convergent series the multidimensional case is much more complicated than that of the real line. Although we are far from the full topological…

Functional Analysis · Mathematics 2016-04-27 Artur Bartoszewicz , Szymon Głab , Jacek Marchwicki

Bell appealed to the theory of relativity in formulating his principle of local causality. But he maintained that quantum field theories do not conform to that principle, even when their field equations are relativistically covariant and…

Quantum Physics · Physics 2014-05-14 Richard Healey

In this paper we consider a claim that in the natural world there is no fact of the matter about the spatio-temporal separation of events. In order to make sense of such a notion and construct useful models of the world, it is proposed to…

Neurons and Cognition · Quantitative Biology 2024-04-18 Bartosz Jura

I argue that our judgements regarding the locally causal models which are compatible with a given quantum no-go theorem implicitly depend, in part, on the context of inquiry. It follows from this that certain no-go theorems, which are…

Quantum Physics · Physics 2018-11-20 Michael E. Cuffaro

A scheme for an algebraic quantization of the causal sets of Sorkin et al. is presented. The suggested scenario is along the lines of a similar algebraization and quantum interpretation of finitary topological spaces due to Zapatrin and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ioannis Raptis

We start from the well-known form of the interval of the special relativity, stare it, and build up an attempt to implement the causality from it. Some features appear to be new, they involve the mass of the particle and the structure of…

High Energy Physics - Theory · Physics 2007-05-23 Ricardo Bentin

Recently, there has been substantial interest in studying the dynamics of quantum theory beyond that of states, in particular, the dynamics of channels, measurements, and higher-order transformations. Ref. [Phys. Rev. X 8(1), 011047 (2018)]…

Quantum Physics · Physics 2024-08-06 John H. Selby , Ana Belén Sainz , Paweł Horodecki

We develop a new interpretation of quantum theory by combining insights from extended Wigner's friend scenarios and quantum causal modelling. In this interpretation, which synthesizes ideas from relational quantum mechanics and consistent…

Quantum Physics · Physics 2024-02-01 Nick Ormrod , Jonathan Barrett

Because of the non-locality of quantum entanglement, realist approaches to completing quantum mechanics have implications for our conception of space. Quantum gravity also is expected to predict phenomena in which the locality of classical…

History and Philosophy of Physics · Physics 2018-06-01 Lee Smolin
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