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The Turing machine is one of the simple abstract computational devices that can be used to investigate the limits of computability. In this paper, they are considered from several points of view that emphasize the importance and the…

Computational Complexity · Computer Science 2012-03-16 Yaroslav D. Sergeyev , Alfredo Garro

A joint characterisation of the controllability and observability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to…

Dynamical Systems · Mathematics 2010-06-14 Amparo Fúster-Sabater , J. M. Guillén

The goal of this note is to provide a geometric setting in which generalized arithmetic means are best predictors in an appropriate metric. This characterization provides a geometric interpretation to the concept of certainty equivalent.…

Probability · Mathematics 2020-05-19 Henryk Gzyl

Opacity is a general language-theoretic framework in which several security properties of a system can be expressed. Its parameters are a predicate, given as a subset of runs of the system, and an observation function, from the set of runs…

Cryptography and Security · Computer Science 2019-02-20 B. Bérard , J. Mullins , M. Sassolas

The paradox of Wigner's friend challenges the objectivity of description in quantum theory. A pragmatist interpretation can meet this challenge by judicious appeal to decoherence. On this interpretation, quantum theory provides situated…

Quantum Physics · Physics 2023-06-22 Richard Healey

We attempt to dissolve the measurement problem using an anthropic principle which allows us to invoke rational observers. We argue that the key feature of such observers is that they are rational (we need not care whether they are…

Quantum Physics · Physics 2007-05-23 Thomas Marlow

We characterize the conditions under which a multi-time quantum process with a finite temporal resolution can be approximately described by an equilibrium one. By providing a generalization of the notion of equilibration on average, where a…

Quantum Physics · Physics 2020-10-02 Pedro Figueroa-Romero , Kavan Modi , Felix A. Pollock

The concept of mass is central to any theory of gravity. Nevertheless, defining mass in general relativity is a difficult task, and even when it can be accomplished, we still need to investigate whether the typical properties of mass in…

General Relativity and Quantum Cosmology · Physics 2025-03-26 Níckolas de Aguiar Alves , Bruno Arderucio Costa

One of the most important aims of the fields of robotics, artificial intelligence and artificial life is the design and construction of systems and machines as versatile and as reliable as living organisms at performing high level…

Artificial Intelligence · Computer Science 2014-12-24 Hector Zenil

The science of consciousness has made great strides by focusing on the behavioral and neuronal correlates of experience. However, correlates are not enough if we are to understand even basic neurological fact; nor are they of much help in…

Neurons and Cognition · Quantitative Biology 2023-10-15 Giulio Tononi , Christof Koch

As artificially intelligent systems become more anthropomorphic and pervasive, and their potential impact on humanity more urgent, discussions about the possibility of machine consciousness have significantly intensified, and it is…

Neurons and Cognition · Quantitative Biology 2024-05-01 Nur Aizaan Anwar , Cosmin Badea

Consciousness is the window of the brain and reflects many fundamental cognitive properties involving both computational and cognitive mechanisms. A collection of these properties was described as the "easy problems" by Chalmers, including…

Neurons and Cognition · Quantitative Biology 2026-03-06 Qi Zhang

We propose a new measure of relative incompatibility for a quantum system with respect to two non-commuting observables, and call it quantumness of relative incompatibility. In case of a classical state, order of observation is…

Quantum Physics · Physics 2019-09-30 Manish Kumar Shukla , Rounak Mundra , Arun K Pati , Indranil Chakrabarty , Junde Wu

According to the Integrated Information Theory of Consciousness, consciousness is a fundamental observer-independent property of physical systems, and the measure Phi of integrated information is identical to the quantity or level of…

Neurons and Cognition · Quantitative Biology 2019-02-13 Adam B. Barrett , Pedro A. M. Mediano

Sensible Quantum Mechanics or Mindless Sensationalism is a framework for relating consciousness to a quantum universe. It states that each conscious perception has a measure that is given by the expectation value of a corresponding quantum…

Quantum Physics · Physics 2011-03-01 Don N. Page

Complexity is a multi-faceted phenomenon, involving a variety of features including disorder, nonlinearity, and self-organisation. We use a recently developed rigorous framework for complexity to understand measures of complexity. We…

Adaptation and Self-Organizing Systems · Physics 2020-09-22 Karoline Wiesner , James Ladyman

I address the question of measuring the subjective perception of the passage of time at the individual level in relation to its objective duration using a physicist-type treatment. A simple model is thus built in terms of a very small…

Physics and Society · Physics 2024-01-09 Serge Galam

We show that human consciousness can be modeled as a classical (not quantum) probabilistic computer. A quantum computer representation does not appear to be indicated because no known feature of consciousness depends on Planck's constant h,…

Biological Physics · Physics 2007-05-23 Stephen Blaha

This work proposes a view of probability as a relative measure rather than an absolute one. To demonstrate this concept, we focus on finite outcome spaces and develop three fundamental axioms that establish requirements for relative…

Machine Learning · Statistics 2023-05-30 Max Sklar

Individuals have an intuitive perception of what makes a good coincidence. Though the sensitivity to coincidences has often been presented as resulting from an erroneous assessment of probability, it appears to be a genuine competence,…

Artificial Intelligence · Computer Science 2011-06-21 Jean-Louis J. -L. Dessalles