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Logical theories have been developed which have allowed temporal reasoning about eventualities (a la Galton) such as states, processes, actions, events, processes and complex eventualities such as sequences and recurrences of other…

Artificial Intelligence · Computer Science 2017-05-03 B. O. Akinkunmi

We show the existence of rigid combinatorial objects which previously were not known to exist. Specifically, for a wide range of the underlying parameters, we show the existence of non-trivial orthogonal arrays, $t$-designs, and $t$-wise…

Combinatorics · Mathematics 2017-03-14 Greg Kuperberg , Shachar Lovett , Ron Peled

The singularity refers to an idea that once a machine having an artificial intelligence surpassing the human intelligence capacity is created, it will trigger explosive technological and intelligence growth. I propose to test the hypothesis…

Artificial Intelligence · Computer Science 2019-08-07 Pavel Kraikivski

According to the media, in spring of this year the experiment CDF at Fermilab has made most likely ("this result has a 99.7 percent chance of being correct", Discovery News) a great discovery ("the most significant in physics in half a…

Data Analysis, Statistics and Probability · Physics 2011-12-20 G. D'Agostini

The potential for artificial intelligence (AI) to take over the work of physicists should be treated with glee. Here I evaluate one of the scientific discoveries in quantum photonics made by a leading AI in the field, in order to try and…

Quantum Physics · Physics 2023-03-13 Terry Rudolph

General relativity allows a variety of future singularities to occur in the evolution of the universe. At these future singularities, the universe will end in a singular state after a finite proper time and geometrical invariants of the…

General Relativity and Quantum Cosmology · Physics 2012-07-06 John D. Barrow , Antonio B. Batista , Giuseppe Dito , Julio C. Fabris , M. J. S. Houndjo

The Improbability Scale (IS) is proposed as a way of communicating to the general public the improbability (and by implication, the probability) of events predicted as the result of scientific research. Through the use of the Improbability…

Physics and Society · Physics 2007-05-23 David J. Ritchie

Classical probability theory is based on assumptions which are often violated in practice. Therefore quantum probability is a proposed alternative not only in quantum physics, but also in other sciences. However, so far it mostly criticizes…

Quantum Physics · Physics 2024-01-23 Mirko Navara , Jan Ševic

We show that a singularity can occur at a finite future time in an expanding Friedmann universe even when the density is positive and the density plus the sum of the principal pressures is positive. Explicit examples are constructed and a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 John D. Barrow

We discuss some physical consequences of what might be called ``the ultimate ensemble theory'', where not only worlds corresponding to say different sets of initial data or different physical constants are considered equally real, but also…

General Relativity and Quantum Cosmology · Physics 2013-03-11 Max Tegmark

Probably we have observed a new simple phenomena dealing with approximations to two real numbers.

Number Theory · Mathematics 2009-10-14 Igor D. Kan , Nikolay G. Moshchevitin

Supersymmetry remains compelling theory over 30 years in spite of lack of its discovery. It could be already near the corner our days, therefore present and upcoming experiments are crucial for constraining or even discovery of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alexander Belyaev

Despite the success of modern physics in formulating mathematical theories that can predict the outcome of experiments, we have made remarkably little progress towards answering the most fundamental question of: why is there a universe at…

History and Philosophy of Physics · Physics 2012-08-24 Stuart Heinrich

Bayesian inference systems should be able to explain their reasoning to users, translating from numerical to natural language. Previous empirical work has investigated the correspondence between absolute probabilities and linguistic…

Artificial Intelligence · Computer Science 2013-04-08 Christopher Elsaesser , Max Henrion

In the absence of empirical confirmation, scientists may judge a theory's chances of being viable based on a wide range of arguments. The paper argues that such arguments can differ substantially with regard to their structural similarly to…

History and Philosophy of Physics · Physics 2017-02-07 Richard Dawid

Consequences of the basic and most evident consistency requirement-that measured events cannot happen and not happen at the same time-are shortly reviewed. Particular emphasis is given to event forecast and event control. As a consequence,…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Karl Svozil

The current debate about a possible change of paradigm from a single universe to a multiverse scenario could have deep implications on our view of cosmology and of science in general. These implications therefore deserve to be analyzed from…

History and Philosophy of Physics · Physics 2019-10-17 Ana Alonso-Serrano , Gil Jannes

This article discusses the possibility of predicting human behavior in a mechanism. Such a mechanism will have certain properties, which are defined and discussed here. Here it is shown that, unfortunately, certain property combinations are…

Computer Science and Game Theory · Computer Science 2012-10-09 Sergey Kuniavsky

It has long been proposed that black hole singularities bounce to deliver daughter universes. Here the consequences of such a scenario are explored in light of Lee Smolin's hypothesis of Cosmological Natural Selection and Weak Anthropic…

General Physics · Physics 2007-06-05 Pushkar Ganesh Vaidya

We demonstrate a novel strong law of large numbers for branching processes, with a simple proof via measure-theoretic manipulations and spine theory. Roughly speaking, any sequence of events that eventually occurs almost surely for the…

Probability · Mathematics 2013-03-01 Simon C. Harris , Matthew I. Roberts