3.2.2: Discrete Versus Continuous Molecules Last updated; Save as PDF Page ID 52246; Questions to Ponder Questions to Answer; Having considered the bonding situation with hydrogen and helium, the simplest two elements, we can now move on to consider other elements and the types of … Breier, Georg for this article. I don't understand what "the Universe" being continuous or discrete even means, if it's supposed to not be the same as spacetime being continuous or discrete. Structural conditions of multistationarity and other non-trivial behaviour. Physics is not done in vague ordinary language. I. Akkerman, Abraham 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. and Logical analysis of regulatory networks in terms of feedback circuits, Lyapunov exponents and Kolmogorov–Sinai entropy for the Lorentz gas at low densities, https://doi.org/10.1017/S0960129507005944, http://www.thphys.physics.ox.ac.uk/users/JohnCardy/home.html, http://www.iadm.uni-stuttgart.de/LstAnaMod/Mielke. Hatzikirou, Haralambos So they are no different from angles which parameterize rotations but can also be utilized to describe the orientation (angular position) of a physical system relative to some ad hoc default position. Close this message to accept cookies or find out how to manage your cookie settings. It is meaningful in how we use it but not as an ontological (physically real) object. 2019. CARTIER-MICHAUD, AMANDINE LESNE, ANNICK We use cookies to distinguish you from other users and to provide you with a better experience on our websites. But when philosophy deals with a problem domain like physics, where math. For example- a system of dipoles can contain only integral no. Full text views reflects the number of PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views. Opinion is divided. Most discussions (including, as far as I can tell, the ones you refer to in your OP) are interested in the other meaning. 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. * Views captured on Cambridge Core between . it might not be a useful way of looking at it. Koegler, Xavier and Must position be continuous in Bohmian mechanics? I've come across the question of continuity vs discreteness in different articles, discussions, etc. This paper presents a sample of the deep and multiple interplay between discrete and continuous behaviours and the corresponding modellings in physics. Throwing around vague ordinary language words is not a good approach, but that's what you are doing. The discrete versus continuous controversy in physics 3 are labelled by d real-valued coordinates or as a tiling of discrete cells, or, equivalently, as a lattice, where positions are labelled by … My view is that space-time is a parametric construction we use to relate phenomena. and View all Google Scholar citations If that makes sense. Hierarchical structures and scaling in physics, Logique et interaction: pour une géométrie de la cognition, Asymptotic analysis for periodic structures, Quantum mechanics: Scientific perspectives on Divine Action, Predictability: a way to characterize complexity, A computational approch to edge detection, IEEE Transactions on Pattern Analysis and Machine Intelligence, Über unendliche, lineare Punktlannigfaltigkeiten, Stationary nonequilibrium states in boundary driven Hamiltonian systems: shear flow, Cellular automata modeling of physical systems, Proof of Lyapunov exponent pairing for systems at constant kinetic energy, An introduction to chaos in nonequilibrium statistical mechanics, Population dynamics with or without evolution: a physicist's approach, Roads to turbulence in dissipative dynamical systems, Ergodic theory of chaos and strange attractors, Proc. I don't know. I think my misinterpretation may partly stem from articles like, There are fundamental, indivisible, energy-carrying. The aim of this overview is to show that discrete and continuous features coexist in any natural phenomenon, depending on the scales of observation. See above. and It doesn't make sense to me. Then there's at least no doubt what we are discussing about. Accordingly, different models, either discrete or continuous in time, space, phase space … Email your librarian or administrator to recommend adding this journal to your organisation's collection. Is the phrase "discrete spectrum" in rule #5 a contradiction in terms? You need to understand the math to understand those too. You seem to be confusing two different meanings of "discrete". Shimoura, Shinji In both cases there is a limit to resolution, but only in the latter case is it due to discretization. Deutsch, Andreas Is the question of the Universe being continuous or discrete effectively the same question, would you say, or is there a slight nuance to it?