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The following three sections and appendices are taken from my thesis "The Foundations of Inference and its Application to Fundamental Physics" from 2021, in which I construct a theory of entropic inference from first principles. The…

Other Statistics · Statistics 2022-07-19 Nicholas Carrara

The incompatibility between gravity and quantum coherence represented by black holes should be solved by a consistent quantum theory that contains gravity as superstring theory. Despite many encouraging results in that sense, I question…

High Energy Physics - Theory · Physics 2008-11-26 Daniele Amati

The standard relations between information theory and thermodynamics are challenged. The Szilard engine is revisited and the bound proposed by Landauer is replaced by a different one which includes errors in information processing. Instead…

Quantum Physics · Physics 2014-02-12 Robert Alicki

Information-theoretic derivations of the formalism of quantum theory have recently attracted much attention. We analyze the axioms underlying a few such derivations and propose a conceptual framework in which, by combining several…

Quantum Physics · Physics 2007-05-23 Alexei Grinbaum

We extend the concept that life is an informational phenomenon, at every level of organisation, from molecules to the global ecological system. According to this thesis: (a) living is information processing, in which memory is maintained by…

Information Theory · Computer Science 2014-02-17 Keith D. Farnsworth , John Nelson , Carlos Gershenson

This thesis investigates the quality of randomly collected data by employing a framework built on information-based complexity, a field related to the numerical analysis of abstract problems. The quality or power of gathered information is…

Numerical Analysis · Mathematics 2022-09-16 Mathias Sonnleitner

This article is the detailed version of a paper on dark matter, dark energy, and modified gravity, published in the December 2015-January 2016 special issue of "La Recherche" (in French)

Popular Physics · Physics 2016-02-03 Luc Blanchet , Benoit Famaey

There is a long history in both general relativity and quantum mechanics of removing fixed background structures, thereby making observed objects and measurement processes dynamical. We continue this evolution by combining central insights…

General Relativity and Quantum Cosmology · Physics 2025-04-18 Per Berglund , Andrew Geraci , Tristan Hubsch , David Mattingly , Djordje Minic

We initiate an investigation how the fundamental concept of independence can be represented effectively in the presence of incomplete information in relational databases. The concepts of possible and certain independence are proposed, and…

Databases · Computer Science 2025-10-10 Miika Hannula , Minna Hirvonen , Juha Kontinen , Sebastian Link

We study multivariate problems like function approximation, numerical integration, global optimization and dispersion. We obtain new results on the information complexity $n(\varepsilon,d)$ of these problems. The information complexity is…

Numerical Analysis · Mathematics 2019-05-06 David Krieg

This essay considers a simple model of observers that are influenced by the world around them. Consistent quantification of information about such influences results in a great deal of familiar physics. The end result is a new perspective…

Quantum Physics · Physics 2013-08-16 Kevin H. Knuth

Notions like meaning, signal, intentionality, are difficult to relate to a physical word. I study a purely physical definition of "meaningful information", from which these notions can be derived. It is inspired by a model recently…

History and Philosophy of Physics · Physics 2016-11-09 Carlo Rovelli

We give a critical overview of various attempts to describe gravity as an emergent phenomenon, starting from examples of condensed matter physics, to arrive to more sophisticated pregeometric models. The common line of thought is to view…

General Relativity and Quantum Cosmology · Physics 2012-05-15 Lorenzo Sindoni

Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology and astrophysics. Among numerous alternatives to Einstein's theory of gravity, theories which include…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Thomas P. Sotiriou , Valerio Faraoni

It has been recently proposed that gravity might be an entropic force. Although a well defined fundamental description for such a mechanism is still lacking, it is still possible to address the viability of phenomenological models of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Miguel Zumalacarregui

The issue of unitary evolution during creation and evaporation of a black hole remains controversial. We~argue that some prominent cures are more troubling than the disease, demonstrate that their central element---forming of the event…

General Relativity and Quantum Cosmology · Physics 2017-01-19 Valentina Baccetti , Viqar Husain , Daniel R. Terno

The concept of information has emerged as a language in its own right, bridging several disciplines that analyze natural phenomena and man-made systems. Integrated information has been introduced as a metric to quantify the amount of…

Neurons and Cognition · Quantitative Biology 2019-06-10 Alberto Hernández-Espinosa , Héctor Zenil , Narsis A. Kiani , Jesper Tegnér

This review presents recent and older results on elementary quantitative and qualitative aspects of consciousness and cognition and tackles the question "What is consciousness?" conjointly from biological, neuroscience-cognitive, physical…

Neurons and Cognition · Quantitative Biology 2018-07-17 Pierre Baudot

We review some material connecting gravity and the quantum potential and provide a few new observations.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert Carroll

A new interpretation of the basic vector |0> of the free Fock space (FFS) and the FFS is proposed. The approximations to various equations with additional parameters, for n-point information (n-pi), are also considered in the case of…

General Physics · Physics 2012-06-21 Jerzy Hanckowiak