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Physics is not done in vague ordinary language. Discrete system is said to a system if it can assume only a certain values for a given property in any given range. Continuous system on the other hand refers to when the system's property changes continuously within any range. and Hatzikirou, Haralambos Accordingly, different models, either discrete or continuous in time, space, phase space … I've come across the question of continuity vs discreteness in different articles, discussions, etc. Deutsch, Andreas Hatzikirou, Haralambos Structural conditions of multistationarity and other non-trivial behaviour. Full text views reflects the number of PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views. But increasing our domain of observation will only push the question further down, "maybe my unit distance is too large but should still be discrete". Unfortunately, this is not the meaning that most discussions of "continuous vs. discrete" in a physics context are interested in. HUTZLER, GUILLAUME I think you are trying to understand physics the wrong way. In both cases there is a limit to resolution, but only in the latter case is it due to discretization. I think my misinterpretation may partly stem from articles like, There are fundamental, indivisible, energy-carrying. Gerin, Lucas 2019. Think of studying samples with a microscope, for example. Email your librarian or administrator to recommend adding this journal to your organisation's collection. Accordingly, different models, either discrete or continuous in time, space, phase space or conjugate space can be considered. Bohmian trajectories vs. Feynman paths, always continuous? 2020. If you want to understand how a particular model in physics, whether it's M-theory or anything else, works, you have to understand the math. See above. The meaning of the term I'm trying to get at here is the one which refers to separate, or perhaps distinct, parts of something. Throwing around vague ordinary language words is not a good approach, but that's what you are doing. Thus it isn't, in and of itself, inherently discrete or inherently continuous. We use cookies to distinguish you from other users and to provide you with a better experience on our websites. of dipoles not 1/2 or 3/2 or any other in between values. It is meaningful in how we use it but not as an ontological (physically real) object. Breier, Georg Check if you have access via personal or institutional login, COPYRIGHT: © Cambridge University Press 2007, Mathematical Structures in Computer Science, Complex ecological models with simple dynamics: From individuals to populations, Complexity. Most physicists emphasise observables and their expectation values over 'beables' and their ontic status. Cohen, Johanne So I'm not sure how much anyone's opinion on the question is worth anyway. I'd simply define an observable to have discrete values if and only if the corresponding self-adjoint operator representing it has a discrete or partially discrete spectrum. Unfortunately, I don't think it is. Hatzikirou, Haralambos Opinion is divided. Does it represent the consensus among physicists, that spacetime is not an ontological/physically real object, or is opinion divided on that? Deutsch, Andreas Interpretation for continuity equation with complex potential. In some theories of quantum gravity, the minimal length emerges from a “resolution limit,” without the need of discreteness. CARTIER-MICHAUD, AMANDINE Akkerman, Abraham If that makes sense. Chassaing, Philippe NATO ASI on dynamics: models and kinetic methods for non-equilibrium many body systems, Coarse-grained probabilistic automata mimicking chaotic systems, Turbulence: The legacy of A. N. Kolmogorov, Chaotic scattering theory, thermodynamic formalism and transport coefficients, Noise, chaos, and (τ, ε)-entropy per unit time, Boolean delay equations: periodic and aperiodic solutions, Extracting macroscopic dynamics: model problems and algorithms, Biochemical clocks and molecular noise: Theoretical study of robustness factors, The Second Law of thermodynamics and the piston problem, Nonlinear oscillations, dynamical systems and bifurcations of vector fields, Reaction-rate theory: fifty years after Kramers, Über die stetige Abbildung einer Linie auf ein Flächenstück, Papers on probability, statistics and statistical physics, Kinetic theory for lattice gas cellular automata, Mathematical puzzle in the analysis of a low-pitched filter, An introduction to symbolic dynamics and coding, Generalized Markov coarse-graining and spectral decompositions of chaotic piecewise linear maps, Diffusion and related transport mechanisms in brain tissue, Toward a probabilistic approach to complex systems, Certain topics in telegraph transmission theory, Les méthodes nouvelles de la mécanique céleste, Kinetic limits for a class of interacting particle systems, Network theory of microscopic and macroscopic behavior of master equation systems, Stepwise structure of Lyapunov spectra for many-particle systems using a random matrix dynamics, Multistationarity, the basis of cell differentiation and memory.

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