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A model for the thermodynamics of a quantum heat bath is introduced. Under the assumption that the bath molecules have finitely many degrees of freedom and are weakly interacting, we present a general derivation of the equation of state of…

Quantum Physics · Physics 2016-12-12 Dorje C. Brody , Lane P. Hughston

It is considered the model of the homogeneous and isotropic universe. The scale of length is defined via the laboratory scale of time by the motion of photon. This leads to the appearance of the inertial forces. The properties of the space…

Astrophysics · Physics 2007-05-23 D. L. Khokhlov

Estimating Body Mass Index (BMI) from camera images with machine learning models enables rapid weight assessment when traditional methods are unavailable or impractical, such as in telehealth or emergency scenarios. Existing computer vision…

Computer Vision and Pattern Recognition · Computer Science 2025-08-29 Frederik Rajiv Manichand , Robin Deuber , Robert Jakob , Steve Swerling , Jamie Rosen , Elgar Fleisch , Patrick Langer

In order to understand the Landau-Lifshitz conjecture on the relationship between quantum measurements and the thermodynamic second law, we discuss the notion of ``diabatic'' and ``adiabatic'' forces exerted by the quantum object on the…

Quantum Physics · Physics 2009-10-31 Y. N. Srivastava , G. Vitiello , A. Widom

We present a quantitative model for the biological evolution of species body masses within large groups of related species, e.g., terrestrial mammals, in which body mass M evolves according to branching (speciation), multiplicative…

Populations and Evolution · Quantitative Biology 2009-01-22 Aaron Clauset , Sidney Redner

Human aging is marked by a steady rise in the risk of dying with age-a process demographers call senescence. Over the past century, life expectancy has risen dramatically, but is this because we are aging slower, or simply starting it…

Applications · Statistics 2026-04-13 Silvio Cabral Patricio

Recent investigations show that the statistical mechanics of a finite number of particles in ideal harmonic systems predicts different results for the same physical properties, depending on the ensemble under consideration. Path integral…

Statistical Mechanics · Physics 2009-10-31 L. F. Lemmens , F. Brosens , J. T. Devreese

Observations that rates of molecular evolution vary widely within and among lineages have cast doubts upon the existence of a single molecular clock. Differences in the timing of evolutionary events estimated from genetic and fossil…

Populations and Evolution · Quantitative Biology 2007-05-23 James F. Gillooly , Andrew P. Allen , Geoffrey B. West , James H. Brown

A person's passage of time perception (POTP) is strongly linked to their mental state and stress response, and can therefore provide an easily quantifiable means of continuous mental health monitoring. In this work, we develop a custom…

Signal Processing · Electrical Eng. & Systems 2021-07-15 Lara Orlandic , Adriana Arza Valdes , David Atienza

Three-body systems in two dimensions with zero-range interactions are considered for general masses and interaction strengths. The problem is formulated in momentum space and the numerical solution of the Schr\"odinger equation is used to…

Quantum Gases · Physics 2014-11-12 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Models for human running performances of various complexities and underlying principles have been proposed, often combining data from world record performances and bio-energetic facts of human physiology. Here we present a novel, minimal…

Quantitative Methods · Quantitative Biology 2019-03-06 Matthew Mulligan , Guillaume Adam , Thorsten Emig

We propose statistical systems based on $p$-adic numbers. In the systems, the Hamiltonian is a standard real number which is given by a map from the $p$-adic numbers. Therefore we can introduce the temperature as a real number and calculate…

Statistical Mechanics · Physics 2021-06-02 Mikoto Terasawa , Shin'ichi Nojiri

With the redefinition of the international system of units, the value of the Planck constant was fixed, similarly to the values of the unperturbed ground state hyperfine transition frequency of the $^{133}$Cs atom, speed of light in vacuum.…

Classical Physics · Physics 2022-08-24 Giovanni Mana , Stephan Schlamminger

Metabolomics is becoming a mature part of analytical chemistry as evidenced by the growing number of publications and attendees of international conferences dedicated to this topic. Yet, a systematic treatment of the fundamental structure…

Quantitative Methods · Quantitative Biology 2019-06-19 Age K. Smilde , Thomas Hankemeier

We explore the problem of automatically inferring the amount of kilocalories used by human during physical activity from his/her video observation. To study this underresearched task, we introduce Vid2Burn -- an omni-source benchmark for…

Computer Vision and Pattern Recognition · Computer Science 2022-04-11 Kunyu Peng , Alina Roitberg , Kailun Yang , Jiaming Zhang , Rainer Stiefelhagen

The concept of mass was introduced as a mathematical abstraction and unifying principle in physics by Newton in the 17th century, and calibrated on a Solar System scale by Cavendish at the end of the 18th century. In the 19th century, this…

History and Philosophy of Physics · Physics 2023-06-21 Robert A. Wilson

High calorie intake in the human body on the one hand, has proved harmful in numerous occasions leading to several diseases and on the other hand, a standard amount of calorie intake has been deemed essential by dieticians to maintain the…

Computers and Society · Computer Science 2015-03-24 Pallavi Kuhad , Abdulsalam Yassine , Shervin Shirmohammadi

We extend a previously theory for the interspecific allometric scaling developed in a $d+1$-dimensional space of metabolic states. The time, which is characteristic of all biological processes, is included as an extra dimension to $d$…

Biological Physics · Physics 2008-02-12 Jafferson K. L. da Silva , Lauro A. Barbosa

That of disequilibrium (D) is a statistical notion introduced by L\'opez-Ruiz, Mancini, and Calbet (LMC) more than 20 years ago [Phys. Lett. A 209 (1995) 321]. D measures the amount of correlational structure of a system. We wish to use D…

Statistical Mechanics · Physics 2017-11-22 F. Pennini , A. Plastino

We consider an isolated system made of two pointlike bodies interacting at a distance in the nonradiative approximation. Our framework is the covariant and a priori Hamiltonian formalism of "predictive relativistic mechanics", founded on…

Mathematical Physics · Physics 2011-10-10 Philippe Droz-Vincent