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The minimization of the length of syntactic dependencies is a well-established principle of word order and the basis of a mathematical theory of word order. Here we complete that theory from the perspective of information theory, adding a…

Computation and Language · Computer Science 2017-09-05 Ramon Ferrer-i-Cancho

The effective field theory description of a radiating black hole introduces redundant degrees of freedom that necessitate annihilation of those modes at late stages to conserve entropy. The prevailing view is that such effective process can…

High Energy Physics - Theory · Physics 2023-12-29 Ran Li , Xuanhua Wang , Kun Zhang , Jin Wang

It is generally agreed that decoherence theory is, if not a complete answer, at least a great step forward towards a solution of the quantum measurement problem. It is shown here however that in the cases in which a sentient being is…

Quantum Physics · Physics 2009-11-10 Bernard d'Espagnat

We address the relation between two apparently distinct problems: The quest for a deeper understanding of the nature of consciousness and the search for time and space as emergent structures in the quantum mechanical world. We also advance…

History and Philosophy of Physics · Physics 2017-09-29 Augusto Cesar Lobo

Synchronization of finite spike sequences is the way two brain regions compare their content and extract the most suitable sequence. This is the core of the linguistic comparison between a word and a previous one retrieved by memory.…

Neurons and Cognition · Quantitative Biology 2018-07-10 F. T. Arecchi

This paper presents a novel information-theoretic proof demonstrating that the human brain as currently understood cannot function as a classical digital computer. Through systematic quantification of distinguishable conscious states and…

History and Philosophy of Physics · Physics 2025-03-14 Andrew Knight

The present work is dedicated to searching parameters, alternative to entropy, applicable for description of highly organized systems. The general concept has been offered, in which the system complexity and order are functions of the order…

Information Theory · Computer Science 2010-09-03 V. I. Ilyevsky

This paper is a discussion about the relationship between time and information. We argue that the direction of arrow of time is related to the directivity of information copying that occurs in Nature.

Popular Physics · Physics 2012-04-17 Marcin Ostrowski

It has been suggested, on the one hand, that quantum states are just states of knowledge; and, on the other, that quantum theory is merely a theory of correlations. These suggestions are confronted with problems about the nature of…

Quantum Physics · Physics 2007-05-23 Matthew J. Donald

The hard problem in consciousness is the problem of understanding how physical processes in the brain could give rise to subjective conscious experience. In this paper, I suggest that in order to understand the relationship between…

History and Philosophy of Physics · Physics 2018-04-11 Ranjan Mukhopadhyay

It is claimed elsewhere that the conscious states of humans must have evolved together with their biological states, and that an ongoing interaction between the two must have occurred to insure that they mirror one another in any species. A…

Quantum Physics · Physics 2007-05-23 Richard A Mould

Time-asymmetric spacetime structures, in particular those representing black holes and the expansion of the universe, are intimately related to other arrows of time, such as the second law and the retardation of radiation. The nature of the…

General Relativity and Quantum Cosmology · Physics 2017-11-22 H. D. Zeh

We study entanglement dynamics in toy models of black hole information built out of chaotic many-body quantum systems, by utilising a coarse-grained description of entanglement dynamics in such systems known as the `entanglement membrane'.…

High Energy Physics - Theory · Physics 2024-03-07 Mike Blake , Anthony P. Thompson

In this article, we employ mathematical concepts as a tool to examine the phenomenon of consciousness experience and logical phenomena. Through our investigation, we aim to demonstrate that our experiences, while not confined to…

Neurons and Cognition · Quantitative Biology 2024-01-23 Kazem Haghnejad Azar

Neuroscientists formulate very different hypotheses about the nature of neural code. At one extreme, it has been argued that neurons encode information in relatively slow changes of individual spikes arriving "rates codes" and the…

Neurons and Cognition · Quantitative Biology 2016-03-10 Agnieszka Pregowska , Janusz Szczepanski , Eligiusz Wajnryb

We examine the role of a conscious observer in a typical quantum mechanical measurement. Four rules are given that govern stochastic choice and state reduction in several cases of continuous and intermittent observation. It is found that…

Quantum Physics · Physics 2007-05-23 Richard A Mould

I start from the fundamental principles of non-relativistic quantum mechanics, without probability, and interpret them using the notion of coexistence: a quantum state can be read, not uniquely, as a coexistence of other quantum states,…

Neurons and Cognition · Quantitative Biology 2018-07-23 Éric Merle

We introduce the concept of knowledge states; many well-known algorithms can be viewed as knowledge state algorithms. The knowledge state approach can be used to to construct competitive randomized online algorithms and study the tradeoff…

Data Structures and Algorithms · Computer Science 2007-05-23 Wolfgang Bein , Lawrence L. Larmore , Rüdiger Reischuk

We discuss the two moments of human cognition, namely, apprehension (A), whereby a coherent perception emerges from the recruitment of neuronal groups, and judgment(B),that entails the comparison of two apprehensions acquired at different…

Neurons and Cognition · Quantitative Biology 2018-02-28 F. Tito Arecchi

The sequential structure of language, and the order of words in a sentence specifically, plays a central role in human language processing. Consequently, in designing computational models of language, the de facto approach is to present…

Computation and Language · Computer Science 2021-08-25 Rishi Bommasani