Spacetime Definition and 1000 Threads

In physics, spacetime is any mathematical model which fuses the three dimensions of space and the one dimension of time into a single four-dimensional manifold. Spacetime diagrams can be used to visualize relativistic effects, such as why different observers perceive differently where and when events occur.
Until the 20th century, it was assumed that the three-dimensional geometry of the universe (its spatial expression in terms of coordinates, distances, and directions) was independent of one-dimensional time. The famous physicist Albert Einstein helped develop the idea of space-time as part of his theory of relativity. Prior to his pioneering work, scientists had two separate theories to explain physical phenomena: Isaac Newton's laws of physics described the motion of massive objects, while James Clerk Maxwell's electromagnetic models explained the properties of light. However, in 1905, Albert Einstein based a work on special relativity on two postulates:

The laws of physics are invariant (i.e., identical) in all inertial systems (i.e., non-accelerating frames of reference)
The speed of light in a vacuum is the same for all observers, regardless of the motion of the light source.The logical consequence of taking these postulates together is the inseparable joining together of the four dimensions—hitherto assumed as independent—of space and time. Many counterintuitive consequences emerge: in addition to being independent of the motion of the light source, the speed of light is constant regardless of the frame of reference in which it is measured; the distances and even temporal ordering of pairs of events change when measured in different inertial frames of reference (this is the relativity of simultaneity); and the linear additivity of velocities no longer holds true.
Einstein framed his theory in terms of kinematics (the study of moving bodies). His theory was an advance over Lorentz's 1904 theory of electromagnetic phenomena and Poincaré's electrodynamic theory. Although these theories included equations identical to those that Einstein introduced (i.e., the Lorentz transformation), they were essentially ad hoc models proposed to explain the results of various experiments—including the famous Michelson–Morley interferometer experiment—that were extremely difficult to fit into existing paradigms.
In 1908, Hermann Minkowski—once one of the math professors of a young Einstein in Zürich—presented a geometric interpretation of special relativity that fused time and the three spatial dimensions of space into a single four-dimensional continuum now known as Minkowski space. A key feature of this interpretation is the formal definition of the spacetime interval. Although measurements of distance and time between events differ for measurements made in different reference frames, the spacetime interval is independent of the inertial frame of reference in which they are recorded.Minkowski's geometric interpretation of relativity was to prove vital to Einstein's development of his 1915 general theory of relativity, wherein he showed how mass and energy curve flat spacetime into a pseudo-Riemannian manifold.

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  1. TrickyDicky

    What are the properties of Minkowski spacetime geodesics?

    I have some difficulties understanding how Minkowski spacetime is flat and therefore its geodesics should remain parallel, but at the same time I see it described in other sites as hyperbolic and then geodesics should diverge. Any comment on my confusion about this will be welcome. Thanks
  2. Y

    Exploring Time's Flow in Spacetime

    Time is integral part of spacetime. If so, how would you explain the persistent unidirectional and significant flow of time and such a small dilation when time is influenced by spacetime manipulation? Does time flow have to do with overall spacetime expansion?
  3. H

    Can You Stand Still in Time Without Movement in Space?

    Hey everyone. I was thinking, that if you were to stand perfectly still in space wouldn't you stand still in time too? Well since space is relative, and you wouldn't be able to "stand still", but what if you were the only thing in the universe? Because the way i understand relativity you...
  4. E

    Matter as excitations of spacetime lattice?

    It is a common theme among background independent quantum gravity theories that there should be some sort of discretization, or fuzziness, of the spacetime manifold occurring on Planckian scales. It has occurred to me that if we take this discretization to consist of a lattice of sorts, might...
  5. D

    What ‘Something is conserved’ means in curved spacetime?

    In flat spacetime what we say that something (energy, information, charge, whatever) is conserved we take some region of space at moment t1, check the amount of that something, then we count the amount of the same thing at t2. What is ‘at moment t1’? It means that we cut spacetime using 2...
  6. P

    Does moving through spacetime affect our perception of time and mass?

    I've been informed that when you move through spacetime: If you move through time with the same space-time curvature, your effective "speed" through time is c. Does anyone have a link that explains this?
  7. TrickyDicky

    Doubt about our spacetime manifold

    I understand that accordingt to GR mass curves the spacetime (I'm not referring to spatial curvature k), so that the universe globally considered is a manifold with constant curvature, is this right? If so, is this curvature positive or negative in the current cosmological model?
  8. M

    Invariance of spacetime interval

    I've tried proving the invariance of the spacetime interval from Lorentz transformations 3 times now, but every time I end up with two extra terms that don't cancel! Could I have some help?
  9. D.S.Beyer

    Topography of spacetime over time.

    "Topography" of spacetime over time. How has spacetime curvature changed since the early universe? In the beginning, (close to the beginning that is), everything was hydrogen (sort of). That hydrogen was more or less homogeneous save a few little places, that would, after billions of years...
  10. F

    Understanding Spacetime: Exploring Albert Einstein's Theory

    We get the idea of space-time from Albert Einstein linking the two together. Can somebody give some details on this subject?
  11. Jonnyb42

    Discontinuity of Spacetime (and other things)

    We know that matter is discrete, and energy is quantized, (and more quantized things I don't know about.) There is also Planck length? and Planck time? Is spacetime continuous? If we don't know yet, I sure hope it is, because I much prefer to imagine discrete matter and energy interacting in...
  12. D.S.Beyer

    Topography of Spacetime over time

    Lets think about how spacetime curvature has changed since the early universe. In the beginning, (close to the beginning that is), everything was hydrogen (sort of). That hydrogen was more or less homogenous save a few little places, that would, after billions of years, would become stars and...
  13. W

    Conformal Spacetime: Paths of Photons & Massive Particles

    Dear all, In flat conformal space-time, e.g. \quad g_{\alpha \beta} = e^{4\kappa} \eta_{\alpha \beta} where \kappa is some function of space-time coordinates. What sort of paths do photons and massive particles follow? Could anyone describe their paths with some analagy or a...
  14. Jonnyb42

    Unraveling the Mysteries of Spacetime: How Physicists Know

    How in the heck do physicists know that spacetime was created at the big bang just by observing galaxies moving away from each other? Couldn't that mean that that's when the MASS was created?
  15. A

    Does Movement of Masses Distort Spacetime Differently?

    As a complete amature, I have a question about gravity and spacetime. Gravity is seen as a distortion of spacetime and we have the traditional view of a mass resting on a rubber sheet, distorting the space around it. But most masses are moving in space - usually fast or very fast. Is there a...
  16. S

    Special Relativity- Spacetime Diagrams

    Homework Statement http://www.maths.ox.ac.uk/system/files/private/active/0/b07.2_c7.209.pdf Q1 (Also in Q2, what is the definition of 4 momentum for a massless particle?) The Attempt at a Solution I can do the entire question if I first derive the Lorentz transformation but I...
  17. R

    Straight line through spacetime.

    Since to travel in a straight line through space time requires the subject in question to have zero change to its state of motion, ie maintain constant velocity at all times. Does this mean that the only entity to ever have and that ever will achieve a straight line through space time is light?
  18. J

    What do you picture in your head when you think about spacetime?

    Hi, I'm trying to learn stuff for my relativity module, and it goes on about spacetime and the 4-dimensional continuum and four-vectors and all that business. I am having trouble imagining whatever it is I am supposed to picture when people talk about this. Take this thing, i believe its...
  19. P

    Green's function for Klein-Gordno equation in curved spacetime

    Is it possible to define unambiguously retarded and advanced Green's function in spacetime without timelike Killing vector. Most often e.g. retarded Green function G_R(t,\vec{x},t',\vec{x}') is defined to be 0 unless t'<t but maybe one can express this condition using only casual structure...
  20. jaketodd

    Spacetime proven or is the Graviton still alive?

    Has the interlinking of space and time been proven? If so, how? Is there any hope left for the graviton?
  21. L

    Spacetime Diagrams - Help With Drawing

    Homework Statement I need to draw carefully labelled spacetime diagrams (one per section) to illustrate the following: a) The length of a 'rod' which is exactly 1.0 light seconds long when at rest along the x′-axis in one frame, and which is moving along the x-axis at 0.866c in the...
  22. L

    Spacetime Diagram: Velocity Relative to Earth/Ship

    Homework Statement To draw a carefully labelled spacetime diagram for the following situation: The addition of velocities as viewed from a ship, for the case of a missile launched at v_{mi}=+0.80c relative to the ship, itself traveling at v_{s}=+0.60c[/itex] relative to the Earth. Take the...
  23. C

    Why hyperbolic geometry in spacetime if it is flat?

    This is driving me crazy. Consider a two-dimensional spacetime, with coordinates (t,x). If this is a flat spacetime, we can just imagine a regular-old two-dimensional plane. On that plane I could just as easily map a Cartesian/Euclidean coordinate system as a hyperbolic system of coordinates...
  24. C

    Understanding LQG: How Gravitons Interact with Spacetime

    How does LQG work? I know there are gravitons in it but how do they interact with spacetime? Why is it a theory of quantum gravity but not everything? Thanks, Cosmolojosh
  25. H

    How does General Relativity explain the orbit of a planet around a star?

    The wikipedia article titled "Geodesics & General Relativity" opens with: "the path of a planet orbiting around a star is the projection of a geodesic of the curved 4-D spacetime geometry around the star onto 3-D space." Uhhhh... "Real" spacetime has four dimensions - 3 space; 1 time...
  26. J

    Exploring the Concept of Spacetime: Answers to Your Questions in IT Forums

    I answer many questions thanklessly in IT forums so thank you in advance. I am trying to understand spacetime. My question is: Is it right to think of spacetime like whales in an ocean. The way they displace water is the way matter and energy displace spacetime? Or am I thinking in the...
  27. e2m2a

    Does energy alone contribute to spacetime curvature?

    Do Einstein's field equations explicitly show that energy alone can curve the metric of spacetime? True, energy is included in the stress-energy tensor, but is it assumed that energy in of itself curves spacetime? Or, is it possible that only energy "embedded" in mass contributes to...
  28. Ranku

    Riemann tensor and flat spacetime

    When Riemann tensor = 0, spacetime is flat. Is the geometry of this flat spacetime that of special relativity?
  29. Z

    What is the Composition of Spacetime?

    Does it have a sense to ask what is Spacetime made of? Because we know: Spacetime can be bent, which results in gravity and gravitational lensing effects etc. If it was made of "nothing" it could'be bent, right? Spacetime "flows" into a black hole and at the event horizon the speed of...
  30. S

    Drawing Spacetime Diagrams: Quick Solutions

    Suppose you have an question like: "In the t-x spacetime diagram of O, draw the basis vectors \vec{e}_0 and \vec{e}_1 Draw the corresponding basis vectors of \bar{O} , who moves with speed 0.6 in the positive x direction relative to O. Draw the corresponding basis vectors of...
  31. C

    What are Emergent Gravity and Emergent Spacetime?

    I've recently heard for the first time about the topics of Emergent Gravity and Emergent Spacetime. But I cannot find any resource that explains these ideas in a way that lay people can understand. If you know of one, please post the link, or write an explanation in simple terms. I've...
  32. A

    Warping spacetime, parrallel universes

    so what exactly is warping spacetime and a parallel universe? and what kind of physicist studies that? is this cosmology or something else?
  33. A

    Where does all this spacetime curvature come from?

    Hi, From what I know, science is the study of the observable world, its theories are supported by evidence. Now GR is a theory, and it informs that mass curves the 'fabric' of space and time. The thing I don't understand is that there is no evidence of mass curving spacetime, then how is...
  34. S

    Space-Time Interval: Exploring Schutz's Explanation

    I have been working through Schutz's A First Course in General Relativity and was a little confused by how he presents the space time interval: \Delta \overline{s}^2 = \sum_{\alpha = 0}^{3} \sum_{\beta = 0}^{3} M_{\alpha \beta} (\Delta x^{\alpha})(\Delta x^{\beta}) for some...
  35. bcrowell

    Argument for discreteness of spacetime

    The following is a paraphrase of an argument for the discreteness of spacetime, made by Smolin in his popular-level book Three Roads to Quantum Gravity. The Bekenstein bound says there's a limit on how much information can be stored within a given region of space. If spacetime could be described...
  36. E

    Padmanabhan and spacetime microscopic degrees of freedom

    In his latest paper below, he discusses the microscopic degrees of spacetime and entropy, and how the emergent thermodynamic features of spacetime do not require details of the microscopic degrees of freedom. Still, I wonder what sort of microscopic degrees of freedom of space time would be...
  37. I

    Why is spacetime curved in GR?

    Hey everyone, I am new to the forum and have a question on the logic of General Relativity. Correct me if I am wrong but my understanding is that according to Einstein's equivalence principle: 1) Freefall in gravity is the same as weightlessness in sufficiently small areas (so an...
  38. C

    Is spacetime an absolute reference frame?

    STUPID QUESTION ALERT! Is spacetime an absolute reference frame?
  39. P

    Defining Spin in QFT in Curved Spacetime

    How one can define a spin in Qunatum Filed Theory in curved spacetime. If the space is flat it's invarainat under Poincare group - so in particular it's invariant under SO(3). Spin operators are simply generators of SO(3). If the space isn't flat we cannot define spin in this way. I know that...
  40. jfy4

    Shape of Spacetime: Curvature Tensor or Metric?

    hello, quick question, If i am interested in the shape of space time, am i interested in the curvature tensor, or the metric? Thanks
  41. pellman

    Is EM theory in curved spacetime the same as unification ?

    Is EM theory in curved spacetime the same as "unification"? I am wanting to learn about classical EM theory in curved spacetime (just curious) and I found this old thread containing some references https://www.physicsforums.com/showthread.php?t=3950 Is simply talking about the EM field in...
  42. R

    What are the effects of Spacetime Drag ?

    What are the effects of Spacetime "Drag"? I have learned that general relativity predicts that a rotating body (such as earth) produces not only a curve in the spacetime continuum, but it also 'drags' spacetime in the direction of rotation. 1) How is this possible? 2) What effects does...
  43. M

    Newton, Einstein, multiply connected spacetime, Energy and so forth

    So, multiply connected spacetime may exist or even does already according to current knowledge, right? And in which of the thousand of millions of books about GR, which every physicist seems to have to have written about at least once, ever you read about it, authors claim that, although it's in...
  44. A

    Gravity on the Minkowski spacetime

    Would someone please provide me with some papers or sources about the tensor gravitation theories on the Minkowski spacetime? They are field theories wherein the matter is supposed to not affect the geometry of spacetime and thus leaving the background spacetime unchangend with respect to the...
  45. H

    What is the relationship between loop quantum gravity and relational spacetime?

    I'm a lay person reading Three Roads to Quantum Gravity. I like the book very much but do have trouble understanding parts of it. Hopefully I can find clarification on a point of confusion for me. I thought loop quantum gravity was based on relational spacetime - that spacetime wasn't...
  46. F

    Why is quantum spacetime necessarily random?

    I was just wondering. I have been looking all over for an answer to this question but I can't seem to find any. I read a biography about Einstein recently and it said that when quantum mechanics first came about he said (something like): "I will not deny its usefulness, only the conclusions...
  47. T

    Geometry of minkowski spacetime

    since the first moment I've started studying the theory of relativity i thought that the minkowski metric represents a flat spacetime (a 4D euclidean space) but while I was surfing the WWW , I arrived to an interactive applet the helps you visualise the idea of spacetime curvature is GR , here...
  48. S

    Four-velocity in a static spacetime

    Homework Statement I am given a static spacetime line element which has the property that the metric is time independent. I am asked to calculate some of the Christoffel symbols, which I have done. The question asks to show that for an observer at rest, the four-velocity is given by V^a =...
  49. A

    Spacetime Entanglement: Exploring Teleportation Possibilities

    I was just thinking about teleportation and wondered if spacetime could be entangled. Or if you could entangle just selected dimensions. Then that would flip the teleportation problem on it's head... Any thoughts?
  50. C

    Time Travel Possibilities: Examining the Physics of Spacetime

    Michio Kaku stated that current physics does not rule out the possibility of time travel even tho it would take comprimable measures to achieve it, such as the energy of a supernovae, my question is even if you can bend spacetime to that extreme to get to a planet with life on it, how are you...
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