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This article presents a formal model demonstrating that genuine autonomy, the ability of a system to self-regulate and pursue objectives, fundamentally implies computational unpredictability from an external perspective. we establish…

Artificial Intelligence · Computer Science 2025-09-17 Poria Azadi

Most aquatic vertebrates swim by lateral flapping of their bodies and caudal fins. While much effort has been devoted to understanding the flapping kinematics and its influence on the swimming efficiency, little is known about the stability…

Fluid Dynamics · Physics 2015-06-15 Fangxu Jing , Eva Kanso

Hallmarks of quantum mechanics include superposition and entanglement. In the context of large complex systems, these features should lead to situations like Schrodinger's cat, which exists in a superposition of alive and dead states…

Quadrupeds transition spontaneously to various gait patterns (e.g., walk, trot, pace, gallop) in response to the locomotion speed. The generation of these gait patterns has been the subject of debate for a long time. We propose a coupled…

Quantitative Methods · Quantitative Biology 2013-10-30 Atsushi Tero , Masakazu Akiyama , Dai Owaki , Takeshi Kano , Akio Ishiguro , Ryo Kobayashi

An unmanned deformable vehicle is a wheel-legged robot transforming between two configurations: vehicular and humanoid states, with different motion modes and stability characteristics. To address motion stability in multiple…

Robotics · Computer Science 2025-05-28 Jun Liu , Hongxun Liu , Cheng Zhang , Jiandang Xing , Shang Jiang , Ping Jiang

Three reasonable hypotheses lead to the thesis that physical phenomena can be described and simulated with cellular automata. In this work, we attempt to describe the motion of a particle upon which a constant force is applied, with a…

Cellular Automata and Lattice Gases · Physics 2016-03-09 Pablo Arrighi , Gilles Dowek

A generalization of the notion of an $\infty$-category is presented, allowing for ($\infty$-)cat(egorie)s that may have non-invertible higher morphisms.

Category Theory · Mathematics 2014-03-10 Daniel Gerigk

A lattice walk model is said to be reluctant if the defining step set has a strong drift towards the boundaries. We describe efficient random generation strategies for these walks.

Combinatorics · Mathematics 2016-03-22 Jeremie Lumbroso , Marni Mishna , Yann Ponty

We introduce a toy model of the "rat race" in which individuals try to better themselves relative to the rest of the population. An individual is characterized by a real-valued fitness and each advances at a constant rate by an amount that…

Physics and Society · Physics 2007-05-23 D. ben-Avraham , Satya N. Majumdar , S. Redner

This work briefly covers our efforts to stabilize the flight dynamics of Northeastern's tailless bat-inspired micro aerial vehicle, Aerobat. Flapping robots are not new. A plethora of examples is mainly dominated by insect-style design…

The issue of whether we make decisions freely has vexed philosophers for millennia, Resolving this is vital for solving a diverse range of problems, from the physiology of how the brain makes decisions (and how we assign moral…

History and Philosophy of Physics · Physics 2025-06-30 Tim Palmer

User-driven applications belong to the new type of programs, in which users get the full control of WHAT, WHEN, and HOW must appear on the screen. Such programs can exist only if the screen view is organized not according with the…

Human-Computer Interaction · Computer Science 2010-01-21 Sergey Andreyev

Transformers have proven highly effective across various applications, especially in handling sequential data such as natural languages and time series. However, transformer models often lack clear interpretability, and the success of…

Machine Learning · Computer Science 2025-12-01 Wei Shi , Yuan Cao

When a falling ball chain strikes a surface, a tension is created that pulls the chain downward. This causes a downward acceleration that is larger than free-fall, which has been observed by recent experiments. Here a theoretical…

Classical Physics · Physics 2019-10-08 J. Pantaleone

Learning controllers that reproduce legged locomotion in nature has been a long-time goal in robotics and computer graphics. While yielding promising results, recent approaches are not yet flexible enough to be applicable to legged systems…

Robotics · Computer Science 2022-07-26 Daniel Ordonez-Apraez , Antonio Agudo , Francesc Moreno-Noguer , Mario Martin

There is widespread disagreement about how the general covariance of a theory affects its quantization. Without a complete quantum theory of gravity, one can examine quantum consequences of coordinate choices only in highly idealized `toy'…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Cisco Gooding , William G. Unruh

Using a simple model for the trail formation of ants, the relation between i)the schedule of feeding which represents the unsteady natural environment, ii)emerging patterns of trails connecting a nest with food resources, and iii)the…

Populations and Evolution · Quantitative Biology 2009-11-10 Tomomi Tao , Hiroyuki Nakagawa , Masato Yamasaki , Hiraku Nishimori

Quadruped animals are capable of exhibiting a diverse range of locomotion gaits. While progress has been made in demonstrating such gaits on robots, current methods rely on motion priors, dynamics models, or other forms of extensive manual…

Robotics · Computer Science 2024-02-23 David DeFazio , Yohei Hayamizu , Shiqi Zhang

Self-organized robots may develop attracting states within the sensorimotor loop, that is within the phase space of neural activity, body, and environmental variables. Fixpoints, limit cycles, and chaotic attractors correspond in this…

Adaptation and Self-Organizing Systems · Physics 2019-01-18 Bulcsú Sándor , Michael Nowak , Tim Koglin , Laura Martin , Claudius Gros

In this paper we re-investigate the core of Schroedinger's 'cat paradox'. We argue that one has to distinguish clearly between superpositions of macroscopic cat states and superpositions of entangled states which comprise both the state of…

Quantum Physics · Physics 2009-11-13 S. Rinner , E. Werner