Summaries of earlier Talk (see [1])
Issues from 2004Experimental evidence for quantised spacetimeDouble slit in time experiment. http://physicsweb.org/articles/news/9/3/1/1?rss=2.03Cbr20/E This surely is experimental evidence that that matter/energy is not just quantised over spatial dimensions (as shown by the classical double slit experiement) but over the time dimension as well. ie: spacetime does have a quantum nature. Space-time vs. SpacetimeExamples of use of spacetime:
Examples of use of space-time:
Since Wikipedia is not a dictionary, it should stick to one spelling. Thus I removed the comment "(alternatively, space-time)". Space-time already redirects to Spacetime, so all is well. —Herbee 20:31, 11 Nov 2004 (UTC)
The Spacetime four vectorThe space-time four vector is: [x y z ct] the use of the vector as: [x y z ict] was common about 40 years ago or so, but it is now considered archaic and the former notation is prefered.--BlackGriffen However, there are certainly physicists who prefer the i notation, including Dr. Jack Sarfatti. The Wikipedia should present the mainstream state of a field as much as possible, presenting relevant dissenting views as such when they arise. The use of the i is just a lazy way to make finding the "length" squared of a four vector feel like finding the length of any other vector (dot product the vector on to itself). It is, however, just as easy to define a new "length" operator for four vectors that doesn't require complex numbers. And if bandying about names is the game, a quick look at the Feynmann Lectures on Physics explanation of four vectors shows nary an i, even though he had a discussion of using c=1.--BlackGriffen I concur: both 'space-time' and the 'i' notation appear to be common early usage, and physicists everywhere seem now to have standardised on both 'spacetime' and the 'i'-less notation -- The Anome
2: Might it be a good idea to use a sidebar (can even use a msg tag for multiple article consistency) which describes some of the core foundational concepts, required for laymen learners like myself to have related study materiale at hand. Finding links in the text lacks structure that a weeded list would have. -SV(talk) New TalkWe can read in this article: "Strictly speaking one can also consider events in Newtonian physics as a single spacetime. This is Galilean-Newtonian relativity, and the coordinate systems are related by Galilean transformations. However, since these preserve spatial and temporal distances independently, such a spacetime can be decomposed unarbitrarily, which is not possible in the general case." - is that right? Is unarbitrarily or arbitrarily? I've some difficulties with english but I'm trying to translate this to portuguese and I can't understand this... Is it an error?... Say something, please. -- Manuel Anastácio 20:29, 15 Jun 2004 (UTC)
global positioning system?GPS?? WTF?? - Omegatron 03:38, Dec 16, 2004 (UTC) more contentshould there be something on spacetime compactification ? I don't know much about this, but perhaps some1 out there could contribute to this. It would link in nicely with the spacetime topology section . Issues from 2005space-time expansionI've heard quite a few article discussions mention the expansion of spacetime. IT'S JUST AS PREPOSTEROUS AS TIME DILATION! How can something that is NOT a physical entity be expanded? Scorpionman 02:14, 20 May 2005 (UTC)
Knowledge Seeker is comfortable with analogies of two-dimensional rubber sheets as four-dimensional spacetime. Isn't it relaxing to have such closure?
Take Knowledge Seeker's rubber sheet. Stretch it high. Stretch it wide. Now you have a four-dimensional rubber sheet. "It doesn't seem very strange to me." Closure. spacetime dimensionsWhilst editting spacetime symmetries, I remembered that a spacetime can (in principle) have dimensions other than 4. Most people use 4D spacetimes, but many researchers use 10D spacetimes etc; it even makes sense to talk of 3 dimensional spacetimes (2 space dimensions + 1 time). I think we need to redefine spacetime to accomodate these common uses - I don't know why I never spotted this before. Roughly, isn't an n-dimensional spacetime a manifold etc... with n-1 space dimensions + 1 time dimension ? Mpatel 10:50, 10 Jun 2005 (UTC)
It might also be reasonable to consider space as being a single dimension, one that requires three coordinates in order to accurately describe the position of a point, rather than three seperate dimensions. Nothing tangible in our universe can be located in either one or two but not three spacial dimensions, which suggests that the dimension is not logically divisible into three. Moreover, length, width and depth are not distinguishable from each other without mutual reference, unlike the distinction that can be easily drawn between space and time dimensions. We commonly use the word 'dimension' in a non-scientific sense with reference to length, width or depth, but there would seem to be no need to define 'dimension' identically with reference to spacetime. By this logic there are then two common dimensions, space and time, and not four, time, length, width and depth. The word 'spacetime' may then be retained and need not be superceeded by the politically correct 'lengthwidthdepthtime'. Professor Krepotkin (talk) 20:44, 2 June 2008 (UTC) Physicist Itzhak Bars' 2006/2007? theory describes a four-dimensional space, two-dimensional time model. Will try to synthesize this information into the article according to the suggestions/comments above. Known Latitude 02:42, 18 October 2007 (UTC) AmbiguityThe first sentence of the article asserts that a space-time continuum is "time and three-dimensional space treated together as a simple four-dimensional object." If it is an object, one wonders if this object has a location. Where is this object?
TechnicalityThis article is disappointing. Spacetime is not a subject that requires a great deal of knowledge to understand, but the text treats it as if it is. I would expect the average reader to feel vaguely lost by the end of the second paragraph, and then completely lost upon scrolling past the table of contents to be confronted by dense and mostly unexplained mathematical jargon. ‣ᓛᖁ
My comment about the definition being incorrect was that it was incomplete (I was thinking of the technical details too - i.e. spacetime being a manifold). I was hoping for something like, 'Spacetime is a concept that views space and time as interrelated rather than as separate entities. The concept was formulated by Hermann Minkowksi soon after Albert Einstein developed the theory of special relativity.' As far as the basic idea of spacetime is concerned, that's about all we need for an introduction (I think). Later in the article, we need to mention the maths of spacetime, the physics of spacetime etc. ---Mpatel (talk) 13:10, 23 September 2005 (UTC)
I know; I didn't say (or suggest) that it should. ---Mpatel (talk) 13:53, 23 September 2005 (UTC)
What I'm saying is this: your definition of spacetime is ok for a layperson (and this is what should be at the start), but not for a specialist (who will be satisfied by the manifold stuff later on in the article). I mentioned the historical bit only to indicate what I think should also be at the start. ---Mpatel (talk) 15:42, 23 September 2005 (UTC)
A short introduction to spacetimeFrom any physical theory that contains a set of elements called space and a set of elements called time, one can create the Cartesian product of space and time and this product is called spacetime. An element of spacetime is called an event. Hence, an event is an ordered pair (where,when) where where represents an element in space (a point in space) and when represents an element in time. Two events in spacetime are called simultaneous if they have the same element of time as the second element in the ordered pair. Two events in spacetime occur at the same place if they have the same element as the first element of the ordered pair. In Newtonian physics, space has the additional structure of a three-dimensional Euclidean space, and time has the structure of a one-dimensional Euclidean space. Newtonian spacetime is the Cartesian product of the three-dimensional Euclidean space and the one-dimensional Euclidean space. However, one does not make the product into a four-dimensional Euclidean space, one keeps the three-dimensional Euclidean structure on space, and the one-dimensional Euclidean structure on time. The three-dimensional Euclidean space structure on space allows one to identify points in space with ordered triples (x,y,z) of real numbers by choosing some (not unique) coordinate system. Given a unit length, this coordinate system may be chosen so that the square of the distance D between any two points (x1,y1,z1) and (x2,y2,z2) is
Similarly, the one-dimensional Euclidean space structure on time allows one to identify elements in time with the set of real numbers by choosing some (not unique) coordinate system. Given a unit time duration, the identification of time with the real numbers may be chosen so that the square of the time difference T between events occuring at times t1 and t2 is given by
In Newtonian spacetime, the distance D and the time duration between the events (x1,y1,z1,t1) and (x2,y2,z2,t2) is not combined to produce the product metric (which would give the square of the spacetime distance as D2 + T2). D and T are considered separately. In special relativity, Minkowski spacetime (the spacetime of special relativity) is determined by the property that the set of events (the elements of the spacetime) can be specified by an ordered quadruple (x,y,z,t) and the existence of a spacetime interval I between any pair of events e1 = (x1,y1,z1,t1) and e2 = (x2,y2,z2,t2)whose square is given by
In both Newtonian spacetime and Minkowski spacetime events can be specified by four real numbers. However, in Newtonian spacetime, the spacetime consists of a product of space and time (and all observers agree with the splitting of the spacetime into its space component and it time component). In Minkowski spacetime, each observer can choose to split the spacetime into a space component (a three-dimensional Euclidean space) and a time component (a one-dimensional Euclidean space). Different observers split spacetime into different space and time components, but they all agree that spacetime has four dimensions and that the square of the spacetime interval between a pair of events has a fixed value (once a unit interval has been selected). In general relativity, the spacetime is curved. Minkowski spacetime is flat and the spacetime of general relativity is curved. In a manner that is analogous to the way that a sphere in three-dimensional Euclidean space can be approximated by a tangent plane near the point of contact between the plane and sphere, the curved spacetime of general relativity has the same type of relation to flat Minkowski spacetime as does the sphere to a tangent plane. The difference between the curved spacetime of general relativity and the flat spacetime of Minkowski spacetime is reflected in the (Riemann) curvature tensor. In general, spacetime represents the part of a physical theory that is supposed to correspond to the common sense notion of space and time. After the ideas of relativity, space and time do not appear to be independent of each other and independent of other physical entities. What space and time are (and what spacetime is) is not known. In classical physics, spacetime is Newtonian spacetime. In special relativity, spacetime is Minkowski spacetime. In general relativity, spacetime is a curved four-dimensional space satisfying Einstein's field equations. Each physical theory has its own version of spacetime. Ref: Newtonian Mechanics, Special Relativity, General Relativity, etc. Reorganised articleI've reorganised the article to bring out the relativity ideas more clearly. The maths section still needs a lot of work. Perhaps some more on the concept of spacetime in non-relativistic theories is needed. ---Mpatel (talk) 08:52, 22 October 2005 (UTC)
Hi RaulMiller. Actually, I didn't change 'model' to 'object'. I changed 'coordinate system' to 'object', because spacetime is definitely not a coordinate system - spacetimes are independent of any observers and hence coordinate systems: nature doesn't care whether we measure the properties of a spacetime (e.g. time intervals) with clocks and rulers; all that matters is that spacetime exists independently of anyone who chooses to measure it's properties or not. The word 'model' is still there in the first sentence. Perhaps 'object' could be changed to 'entity' or maybe something better. ---Mpatel (talk) 08:37, 29 October 2005 (UTC) Quantized vs. QuantificatedSomeone, I don't know why, decided that "Quantized" (refering to quantum effects as in quantum theory) should be replaced with "Quantificated" (which looks like an informal variant on quantification). Since the context is the question "Is spacetime quantized", and it's pretty clear already that quantities are involved in locating events, I don't think the question is meaningful when using the psuedo-word "quantificated". If I'm totally off base here, could someone spell out why, in more detail, we should wonder if space time is quantificated? Also, why we should not concern ourselves with whether or not it's quantized? RaulMiller 03:38, 3 November 2005 (UTC) Issues from 2006Clean upWhen I was reading it I thought it was thediscussion page theres no continuity. I'll try and clean it up a bit but I dont thikn I could help with the content much, so I'm giving the warning I may not be able to fix the actual informative bits. wolfie 08:26, 20 May 2006 (UTC) It's proving to be impossibe without a understanding of what needs to be there and what doesn't. History of the Concept of SpacetimeThere's something off about this section, and I can't quite put my finger on what it is. I think it's the tone of it...but I'm not sure. For instance, the following statement: "Since time is used to measure change and events, and if there are no events or changes, is the measurement of time necessary?" This question isn't exactly relevant to this discussion because we do live in a universe full of events and changes. The same thing holds true with the quote from aristotle. I'm going to move this stuff to its own section. While the tone of the above quote is kind of funky, I actually disagree with the statement, "Space is the distance between two objects." I can pick two points in space that are not composed of anything, with no matter between them, and there is still space between those two points. I'm going to delete this part. I'd love to hear some other opinions on this though, I'd like to know where this all came from.:)Pkeck 15:38, 30 January 2006 (UTC) I think it came by trying to help people who dont understand space-time, or werent mathematic able and didnt uderstand what a dimension is. But i dont really know wolfie 08:36, 20 May 2006 (UTC) I think that space/time does not exist as a continuum but no cunt will take me seriously, i have mathamatical forumalae which prove my theory and as of yet no professor has been able to disprove me. They shrug me off with a simple "it's impossible because Einstein or Newton or Galileo said so" Although I am new to contributing to Wikipedia, I have long been a great admirer of this wonderful resource as an English teacher for many years. Long may it continue serving humanity far into our future. As is often the case, there can be complications to maintaining such a resource, especially since anyone in the entire world can contribute here. As we are all scholars, I make an appeal that we always respect each other as a matter of professionalism and that we treat each other with the utmost courtesy, especially when it comes to overwriting or deleting another contributor's work. If you'll allow me, I'd like to make the motion that any revision to another's work, must be accompanied by a reason posted in either the Section Edit Summaries or in the user's Talk sections. It is only fair. If such a wonderful resource as Wikipedia becomes no more than a battleground for our personal needs of aggression, then it will have completely lost its great value to the world. Thank you so much for your time and for allowing me to be a contributor. LachlanSosa 06:36, 15 March 2007 (UTC) 'Solution' needs explainingThe word 'solution' is in the opening paragraph and has not been explained (getting from manifold to solutions of the Einstein field equations is not exactly a trivial route). Non-specialists will not necessarily understand what 'solution' means (at least not without explanation or further clarification). I think the word 'solution' in that paragraph should be replaced with 'spacetime(s)'. Also, the word 'unitary' could be confused for something more technical ! - maybe 'unified' is better here. I'll try these and see if they are better. MP (talk) 09:35, 5 February 2006 (UTC) QUANTIZATION OF SPACETIMEFirstly, this article is generally disappointing: Lack of clear structure, lack of clarity in use of concepts, and just vagueness in general. The section on quantized spacetime should make reference to the work of David Finkelstein, one of the first to suggest this idea, the mention of the chronons, and should mention at least some of the basics. --NYCSEAN 20:25, 10 March 2006 (UTC) Inconsistency in the Reference to Immanuel KantRefers in the body of the article to the date 1929. This is *somewhat* misleading, considering he that died in 1804. The date is of course of an English translation of his work. Adittionally, Kant is most famous for his work The Critique of Pure Reason (considered probably to be the single most important work in Western Philosophy) and his earlier work was largely an attentuation of errors towards his later work. Thus the reference properly needs to refer to the original date of publication, and if it is prior to the CPR in 1781, then make a refence to the fact that it was during his formative stages (admittedly which are the first 50 odd years of his life). I will get round to doing this eventually if it is not done by someone who already knows, please anyone post disagreements if there are any. Tsop 11:52, 12 June 2006 (UTC)
Minor ComplaintCompared to some of the other complaints above, mine is minor, but the assumption that one cannot have a nervous system if one is relegated to 2 spacial dimensions was proven wrong long ago. The Macullogh-pitts (sp?) crossover circuit allows you to cross two wires in 2 dimensions and have them act as if they are separate. It makes me wonder how well researched the other claims about the uniqueness of 3+1 space are. Swestrup 05:55, 12 September 2006 (UTC) Definition of the spacetime intervalThis article defines the space-time interval as s^2 = x^2 - (ct)^2, whereas wolfram [2] defines it the other way around as s^2 = (ct)^2 - x^2. So are both correct? Is there any logic to using one over the other? I think we should mention both in the article, because it obviously effects how you classify spacelike, timelike, etc. Brendanfox 04:51, 2 November 2006 (UTC) Issues from 2007apearance of extra dimensionsThe article states that extra dimensions would only appear to make a difference at the subatomic level. But isn't it right that some version of string theory predicts effects on gravity already at the mm- to micrometer-scale? Depending on the size of the compactification, of course. - 80.143.117.226 23:06, 19 January 2007 (UTC) In the last section, "intelligent life manipulating technology" can be interpreted two ways which ironically both may be correct... Question: http://en.wikipedia.org/wiki/Image:Spacetime_curvature.pngMay be it my browser problem. Is this image linked properly?
Famous explanations about space and timeIn a nutshell, four different accounts of space and time could be described as follows:
As believers in progressive development, we ignore the older explanations and wholeheartedly give our assent to the most recent.Lestrade 15:18, 26 October 2007 (UTC)Lestrade Spiralization and Compression Theory??I'm removing the paragraph on this theory because I've never heard of a theory like this and I couldn't find any references when I googled it. I'm no specialist, though, so if someone can find a good reference please feel free to revert my edit and add the reference. —Preceding unsigned comment added by 201.222.138.228 (talk) 23:10, 17 May 2008 (UTC) Wow! Faster-than-light revert! I suppose I was wrong, then... Well, at least I tried.201.222.138.228 (talk) 23:38, 17 May 2008 (UTC) Research needed about Spiralization and Compression TheoryI'm also removing this paragraph because don't find it serious. Googled it, and I found ANY, and that is, ANY REFERENCE ABOUT IT. So I'm sorry but I'm removing it, unless someone here could indicate a clear reference to this or the individuals who proposed this theory. The original text appearing on the article, has been removed and placed here, where people can indicate sources talking about it, to do this "reliable". The text don't indicate who are the people behind the theory, also there are no references about "Jack-in-the-box" (name which sounds suspicious or almost peculiar). The text says a group of scientists in Portland, Oregon... who? who exaclty? where are thouse scientist? (no source). And then "Jack-in-the-box"... I find this suspicious... Spiralization and Compression Theory ---- A recent development in physics is the theory of the spiralization and compression of space time, also known as the "Jack-in-the-box" theory. This theory was first put forth in 2006 by a group of scientists working in Portland, Oregon. The theory speculates that over time, all the dimensions of space spiral inward until reaching a state of absolute compression. When complete compression is reached, space springs outward and expands rapidly, as with the big bang, before the cycle is begun again. The highlight of this theory is the independence of time from the spiralization and compression of space. The impact of this theory on relativity and attempts at a unified field theory are yet unknown. However, it has been predicted, using the spiralization and compression theory, that the Large Hadron Collider will produce micro-universes. Anyway... I will copy the subject of the spiralization and compression theory here... to allow people research on this: I found the following arXiv documents talking about spiralization theory: astro-ph/0501170 - West-Side Story (On the History of Density-Wave Spiral Theories in the 1960s) astro-ph/0406143 - Title: Density-Wave Spiral Theories in the 1960s. II astro-ph/0406142 - Title: Density-Wave Spiral Theories in the 1960s. I cond-mat/9502097 - Title: The motion of holes on the triangular lattice: t-J model —Preceding unsigned comment added by 88.12.170.8 (talk) 23:55, 11 June 2008 (UTC) This "spiralization theory" is not in the mainstream of physics and does not deserve front page treatment. 99.161.108.144 (talk) 22:32, 16 June 2008 (UTC) could someone please put this in english —Preceding unsigned comment added by 66.0.47.5 (talk) 16:25, 14 July 2008 (UTC)
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