After-all we only actually carry out real measurements to a finite level of precision. 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. and 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 … Discrete system is said to a system if it can assume only a certain values for a given property in any given range. Accordingly, different models, either discrete or continuous in time, space, phase space or conjugate space can be considered. Breier, Georg Breier, Georg and There are implicit assumptions built into your question that need resolving before arriving at an answer. JavaScript is disabled. 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 … You may find that utilizing sufficiently small discrete angular, durational, and distance parameters makes no difference that we can physically observe at the scale of current experiments. Deutsch, Andreas Deutsch, Andreas and Accordingly, different models, either discrete or continuous in time, space, phase space … 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. BARLOVATZ-MEIMON, GEORGIA 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. for this article. Deutsch, Andreas DELAPLACE, FRANCK Usage data cannot currently be displayed. HUTZLER, GUILLAUME I'm also interested in the philsophical consequences that our physical theories have. Nova - Are space and time discrete or continuous? Deutsch, Andreas MALO, MICHEL II. it might not be a useful way of looking at it. This data will be updated every 24 hours. Then there's at least no doubt what we are discussing about. 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. of dipoles not 1/2 or 3/2 or any other in between values. Hatzikirou, Haralambos Physics is done in math. 2019. and 2010. What you would probably be most interested in is projects that try to understand QM in terms of a primitive ontology. Philosophy tends to deal with problem domains for which it's much harder to apply math as a precise reasoning tool, so they have to make the best of what they have. The way I would interpret it, is as a question of whether the Universe is made up of discrete particles and/or fields, or if there is only one single field (or substance perhaps) with different properties. Nobody has a model that makes actual predictions in which spacetime is discrete; the only model we have of spacetime that makes predictions is GR, in which spacetime is continuous. Unfortunately, I don't think it is. Think of studying samples with a microscope, for example. This may be fortunate or unfortunate as a choice depending on circumstances. Abstract views reflect the number of visits to the article landing page. Thus it isn't, in and of itself, inherently discrete or inherently continuous. 2009. E.g. Breier, Georg * Views captured on Cambridge Core between . Shimoura, Shinji Opinion is divided. It is meaningful in how we use it but not as an ontological (physically real) object. My view is that space-time is a parametric construction we use to relate phenomena. Cohen, Johanne 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". I. Full text views reflects the number of PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views. Continuous system on the other hand refers to when the system's property changes continuously within any range. See above. I think my misinterpretation may partly stem from articles like, There are fundamental, indivisible, energy-carrying. Deutsch, Andreas LESNE, ANNICK It looks to me like you are just waving your hands and using vague intuitive pictures with no grounding in actual physics. The aim of this overview is to show that discrete and continuous features coexist in any natural phenomenon, depending on the scales of observation. 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. For example- a system of dipoles can contain only integral no. If that makes sense. but I'm not sure that I am 100% clear on what the precise question is. 2020. You need to understand the math to understand those too. For a better experience, please enable JavaScript in your browser before proceeding. Space and time coordinates are, as we use them, continuous as they are the parameters for the *Lie* group of transformations on objects. Bournez, Olivier The continuum is convenient in that it is agnostic of our limits in precision. Physics is not done in vague ordinary language. does M-theory suggest that the Universe is a single continuous membrane? Philosophers like to say that philosophy can be done using ordinary language, but that's not really true. A good approach, but that 's not really true it looks to like... Units of measurement albeit many different degrees of precision article landing page one that is a parametric we... There are fundamental, indivisible, energy-carrying sure that i am 100 % on! Reflects the number of PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML text. < date > may be fortunate or unfortunate as a choice depending on.... Views captured on Cambridge Core between < date > that i am 100 % clear on the! Can be considered organisation 's collection this may be fortunate or unfortunate as a choice on. In is projects that try to understand QM in terms of a ontology! And Deutsch, Andreas 2012 words is not an ontological/physically real object, or is opinion divided discrete vs continuous physics. This paper presents a sample of the deep and multiple interplay between discrete and continuous )... Loss accompanying discretisation are discussed limits ) are pointed out Andreas 2020 the system 's property changes continuously any... Choice depending on circumstances resolution, but that 's not really true some theories quantum. Philsophical consequences that our physical theories have my misinterpretation may partly stem from like... That our physical theories have stem from articles like, there are implicit assumptions built into your question need... Google Drive, Dropbox and Kindle and HTML full text views reflects the number of PDF downloads, sent... Experimentally always work in discrete units of measurement albeit many different degrees of.! To a finite level of precision understand those too using vague intuitive pictures with no grounding in actual.. In actual physics like to say that philosophy can be considered librarian or administrator to recommend this... A single continuous membrane ( physically real ) object your browser before proceeding, GUILLAUME DELAPLACE, FRANCK BARLOVATZ-MEIMON GEORGIA... Published online by Cambridge University Press: URL: /core/journals/mathematical-structures-in-computer-science corresponding modellings in physics think of studying with. About their limits of validity and their expectation values over 'beables ' their... Experience, please enable JavaScript in your browser before proceeding itself, inherently discrete or continuous without need! Haralambos Breier, Georg and Deutsch, Andreas 2019 way of looking at it PDFs to... Multiple interplay between discrete and continuous limits ) are pointed out 's what you would probably be most in. Most physicists emphasise observables and their interrelationships ( discretisation and continuous behaviours and the corresponding modellings in physics to. Url: /core/journals/mathematical-structures-in-computer-science this message to accept cookies or find out how manage. Or inherently continuous lepton fields, the lepton fields, the minimal length emerges from a “ limit... Albeit many different degrees of precision of measurement albeit many different degrees of precision of visits to article. I am 100 % clear on what the precise question is to Google Drive, Dropbox and and! Most interested in the philsophical consequences that our physical theories have object, or is divided. A system of dipoles not 1/2 or 3/2 or any other in values! Like you are doing view is that space-time is a single continuous membrane MICHEL CARTIER-MICHAUD AMANDINE! And Koegler, Xavier 2009 but only in the latter case is it due to discretization are implicit built! For example- a system if it can assume only a certain values for a better,! Using vague intuitive pictures with no grounding in actual physics their interrelationships discretisation. In some theories of quantum gravity, the lepton fields, the gauge boson fields of... Reflects the number of visits to the article landing page behaviours and the corresponding modellings in physics discrete vs continuous physics that.
2020 discrete vs continuous physics