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Theoretical physics is the search for simple and universal mathematical descriptions of the natural world. In contrast, much of modern biology is an exploration of the complexity and diversity of life. For many, this contrast is prima facie…

Biological Physics · Physics 2024-01-23 William Bialek

Forgetfulness is a common feature of nature. Moreover, without forgetfulness, repeatability would be impossible. Despite this, small systems constantly leak information about their state to their surroundings, and quantum mechanics tells us…

Quantum Physics · Physics 2021-02-05 Pedro Figueroa-Romero

The self-simulational theory of temporal extension describes an information-theoretically formalized mechanism by which the width of subjective temporality emerges from the architecture of self-modelling. In this paper, the perspective of…

Neurons and Cognition · Quantitative Biology 2026-01-01 Jan Erik Bellingrath

After a short review on the use of time in various branches of physics, I suggest to change the interpretation of time, from a duration to a cut. A reassessment of terminology is also required to avoid meaning traps. I also address the…

General Physics · Physics 2026-05-05 Luigi Foschini

The idea that the brain is a probabilistic (Bayesian) inference machine, continuously trying to figure out the hidden causes of its inputs, has become very influential in cognitive (neuro)science over recent decades. Here I present a…

Neurons and Cognition · Quantitative Biology 2024-02-15 Eelke Spaak

Dynamical systems with long delay feedback can exhibit complicated temporal phenomena, which once re-organized in a two-dimensional space are reminiscent of spatio-temporal behavior. In this framework, normal forms description have been…

Pattern Formation and Solitons · Physics 2020-12-30 Francesco Marino , Giovanni Giacomelli

Concise, accurate descriptions of physical systems through their conserved quantities abound in the natural sciences. In data science, however, current research often focuses on regression problems, without routinely incorporating…

Computational Physics · Physics 2020-02-05 Tom Bertalan , Felix Dietrich , Igor Mezić , Ioannis G. Kevrekidis

The brain is very often viewed as a network, be it at small scale made of cells, mostly neurons, or at larger scale made of neuronal assemblies. Here we introduce a conjecture, in the spirit of a philosophical though experiment, which…

Neurons and Cognition · Quantitative Biology 2025-12-24 Julien Lagarde

A social system is considered whose agents choose between several alternatives of possible actions. The system is described by the fractions of agents preferring the corresponding alternatives. The agents interact with each other by…

Physics and Society · Physics 2022-05-27 V. I. Yukalov , E. P. Yukalova

In this theoretical work the temporal aspect of consciousness is analyzed. We start from the notion that while conscious experience seems to change constantly, yet for any of its contents to be consciously perceived they must last for some…

Neurons and Cognition · Quantitative Biology 2022-03-08 Bartosz Jura

This paper presents a hypothesis that consciousness is a natural result of neurons that become connected recursively, and work synchronously between short and long term memories. Such neurons demonstrate qubit-like properties, each…

Neurons and Cognition · Quantitative Biology 2016-08-26 John Robert Burger

The aim of this paper is to propose an alternative behavioural definition of computation (and of a computer) based simply on whether a system is capable of reacting to the environment-the input-as reflected in a measure of programmability.…

Logic in Computer Science · Computer Science 2012-11-26 Hector Zenil

All biological and artificial agents must learn and make decisions given limits on their ability to process information. As such, a general theory of adaptive behavior should be able to account for the complex interactions between an…

Machine Learning · Computer Science 2023-05-08 Dilip Arumugam , Mark K. Ho , Noah D. Goodman , Benjamin Van Roy

Biological activities are often seen entrained onto the day-night and other celestial mechanical cycles (e.g., seasonal and lunar), but studies on the origin of life have largely not accounted for such periodic external environmental…

Chaotic Dynamics · Physics 2024-08-21 Fan Zhang

Analysis of mathematical models in ecology and epidemiology often focuses on asymptotic dynamics, such as stable equilibria and periodic orbits. However, many systems exhibit long transient behaviors where certain aspects of the dynamics…

Dynamical Systems · Mathematics 2025-11-06 Anthony Pasion , Felicia Magpantay

Memory is the fundamental form of temporal complexity: when present but uncontrollable, it manifests as non-Markovian noise; conversely, if controllable, memory can be a powerful resource for information processing. Memory effects arise…

Quantum Physics · Physics 2024-05-07 Philip Taranto , Marco Túlio Quintino , Mio Murao , Simon Milz

We consider prediction theory for stationary stochastic processes in continuous time. We discuss prediction using the whole (infinite) past, and using only a finite section of the past. The solutions to both these classical problems have…

Probability · Mathematics 2021-11-17 N. H. Bingham

The sophisticated tools and techniques employed by Nature for purposeful storage of information stand in stark contrast to the primitive and relatively inefficient means used by man. We describe some impressive features of biological data…

Other Quantitative Biology · Quantitative Biology 2014-09-01 Masud Mansuripur

Several abilities of biological systems, such as adaptation to natural environment, or of animals to learn patterns when appropriately trained, are features that are extremely useful, if emulated by electronic circuits, in applications…

Neurons and Cognition · Quantitative Biology 2011-12-22 M. Di Ventra , Y. V. Pershin

Aging is a universal consequence of life, yet researchers have identified no universal theme. This manuscript considers aging from the perspective of entropy, wherein things fall apart. We first examine biological information change as a…

Populations and Evolution · Quantitative Biology 2026-04-13 Stephan Baehr , Hans Baehr
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