What is Space-time: Definition and 417 Discussions

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. F

    Space-Time gravitational field problem

    Space-Time is deformed from a uniform gravitation field to one that is compressed inward so as to form a curvature. That curvature is uniform and can be understood as a series of decreasing diameters of circular field lines. If that is the case, then why are the planet's orbits elliptical and...
  2. N

    Gravity: force or space-time curvature?

    Please note that I do NOT want to discuss whether gravity is a force or the effect of space-time curvature here. If you want to discuss this, please post a separate topic about it. What I wanted to ask is what Einstein's own beliefs on this were. Up till now I had always believed he had...
  3. G

    The interior space-time metric for a rotating spherical star

    I was looking for a space time metric that describes the INTERIOR of spherically symmetric rotating stars. However, wherever I look it is always the metric for an exterior of "slowly rotating star" (frame dragging effect) or something similar to it but always the metric AROUND the object...
  4. H

    How Does String Theory Reconcile General Relativity and Quantum Mechanics?

    i recently read A Brief History of Time. it says that the orbits of planets may seem elliptical, but are actually straight in space-time. so how does that happen?? how does space-time curve?? here does time refer to imaginary time? and what do we really mean by imaginary time? is it taken that...
  5. O

    Question on Lorentz space-time transformations

    Hey, not strictly homework but this is probably the best place for it, I wonder if you guys can help me out with a past paper question I've been pondering: Two events occur at the same place in an inertial reference frame S, but are separated in time by 3 seconds. In a different inertial frame...
  6. B

    Space-time interval invariance question

    Cinsider please the invariance of the space-time interval in an one space dimension approach (x-0)2-c2(t-0)2=(x'-0)2-c2(t'-0)2 My question is: does it hold for arbitrary events (x,t) in I and (x',t') in I? Does it hold only in the case when the events are genertated in I and I' by the same...
  7. MTd2

    Graininess of Space-Time found at GEO600?

    "So would they be able to detect a holographic projection of grainy space-time? Of the five gravitational wave detectors around the world, Hogan realized that the Anglo-German GEO600 experiment ought to be the most sensitive to what he had in mind. He predicted that if the experiment's beam...
  8. C

    Is There a Limit to How Much Space-Time Can Curve?

    First I thought If nothing can move faster than c, then nothing can accelerate faster than c/sec, right? Well, that means that the maximum amount space-time can curve is up to the ol' 45 degree slope, not like straight down as some black-hole pictures are made. Right? And then I thought...
  9. S

    Black hole singularities and negative space-time

    I wasn't sure where to put this, so astrophysics seems like a good bet? I'm only fourteen, but I'm incredibly interested in astrophysics, quantum mechanics, black holes and the like. I've read about naked singularities, that they can occur the black hole's charge is great enough and the...
  10. T

    Warping of Space-time, Confusion about the illustration

    I am not a scientist, so my apologies if this question is naïve, but I have read a bit on the subject. Anyway, I was recently watching a documentary on Einstein and the standard illustration of Space-time being warped was presented. A massive ball was placed on the trampoline of “space-time”...
  11. M

    Effects of Space-Time Hypothetical Thought Experiment

    Hypothetical thought experiment; What would happen if you created a very long cylindrical material, eg 100 000km long and took it into deep space. Here you rotate one side of it so the tube is spinning in a large circle with radius 100 000km, ignoring friction and gravity. Once it is...
  12. U

    Is Space-Time Composed of Strings in String Theory?

    Does string theory state that space-time is made of strings? And if so, how can "empty space" be made of strings if string theory says that a single string is a particle? Also, would space-time being made of strings be an explanation as to why it behaves so erratically at very tiny scales...
  13. C

    Motion in space due to space-time curvature

    Why do things orbiting, i.e. free-falling, around Earth float away from each other? Why don't they both free fall toward Earth together? I remeber hearing once that if you let go of 2 objects while 'floating' in space they both go away from you and away from each other. Is this due to curving...
  14. C

    How do we argue that gravity is not a force due to curvature of space-time?

    Homework Statement How do we argue that gravity is not a force due to curvature of space-time? Homework Equations I'm new.. I don't even understand the eqn of tensor calculus. The Attempt at a Solution No force is needed for as massive objects follows the curvature of spacetime...
  15. B

    Understanding the Metric Tensor and its dx's in Space-Time

    I know what the equation for proper time is in basic Euclaiden space. But when space-time is concerned, I get a bit confused. The equation is: \Delta\tau=\sqrt{g_{\mu\nu}dx^{\mu}dx^{\nu}} I realize that g_{\mu\nu} is the Metric tensor. However i don't understand the dx's and their indices...
  16. H

    Space-Time Disturbance: What Is It?

    what is space-time disturbance..can anyone explain it to me.
  17. A

    Acceleration and Curvature of space-time

    I'm confused, but when objects travel along the straight lines in curved space-time, do they undergo acceleration? We know that following geodesics is equivalent to inertial motion (one example is free-fall), but when these inertially moving objects travel in curved spacetime, they accelerate...
  18. Y

    Locating Event E0 on a Space-Time Diagram & Speeds

    Hello... I have a little problem I hope you guys can help me with. I'll write down the problem-text first, so it will be easier to point out the problem - hopefully. Here it goes: Event E0 has the following coordinates in some frame S: x = 2 m ct = 4 m Locate E0 on a space-time...
  19. Y

    Space-Time Diagram: Locating Events & Finding Speeds

    Hello... I have a little problem I hope you guys can help me with. I'll write down the problem-text first, so it will be easier to point out the problem - hopefully. Here it goes: Event E0 has the following coordinates in some frame S: x = 2 m ct = 4 m Locate E0 on a space-time...
  20. M

    Effect of acceleration on space-time fabric

    i studied somewhere that acceleration and gravity are equavalent .does acceleration produce ripples in space-time just like mass?
  21. WCOLtd

    Bends in Space-Time vs Invariance

    Imagine a beam of light being turned on at the surface of a massive body such as a neutron star, the beam of light travels along a geodesic path towards a mirror located at radius r from the planet's surface, when the light beam hits the mirror, the light bounces back to the observer located at...
  22. A

    Does the fabric of space-time move faster than the speed of light?

    Just wondering? Space-time is exerting pressure. Is this movement faster than the speed of light?
  23. Mentz114

    Frequency shift of light between observers in Schwarzschild space-time

    Considering the simple case of two observers O1 and O2 lying on the same radius at positions r=r1 and r=r2 respectively. Using a result from Stephani(1) I work out that the ratio of frequencies of light sent radially between these observers is given by this ratio, numerator and denominator...
  24. U

    Curved space-time and dimensions

    I don't know anything about GTR, nor do I know anything about differential geometry. But I have one maybe stupid question: As far as I know space-time in general relativity is represented by a pseudo-riemannian manifold. And according to Whitney's (or Nash's? - don't know who is in charge here)...
  25. S

    Gravitons or Warped Space-Time?

    *Please read the thread before you vote in the poll! Disclaimer: I am not advocating a fraudulent theory, I am presenting original evidence and logic (detailing the contradictions in quantized gravity) both of which are certainly open for debate. Gravitation In classical mechanics, the...
  26. B

    Gravity AND curved space-time bending light

    Can anyone explain in words (or equations if you can't use words, or in words to describe the equations) how "...according to the theory [of gen relativity], half of this deflection [of light by any massive body, the sun in this quote's case] is produced by the Newtonian field of attraction of...
  27. redtree

    Relativistic mass and space-time curvature

    Does relativistic mass curve space-time, i.e., does relativistic mass affect the gravitational field of an object?
  28. redtree

    Does a photon curve space-time, i.e., produce a gravitational field?

    Does a photon curve space-time, i.e., produce a gravitational field? Is the degree of curvature a function of its energy?
  29. redtree

    Sign convention in the space-time 4-vector

    What is the rationale for the sign convention in the space-time 4-vector? How is it related to the sign convention in the energy-momentum 4-vector, if at all?
  30. W

    Visualizations without space-time or light

    Trying to 'visualize' phenomena at sub atomic sizes is imposssible because our idea of visualization relies on space time and light. Its similar to trying to put real meaning to imaginery numbers. Does 'i' exist or not. What does a photon 'look like' - has no meaning because we cannot bounce a...
  31. K

    How can the Riemann tensor help me calculate the bend in space-time?

    Hi. Could anyone here help/teach me how to calculate the resulting bend in space-time from any particular mass? Specifically I'm trying to figure out how much space-time is stretched or bent relative to "unbent" space-time in space. I'm not exactly sure this is the right question to be asking...
  32. M

    GR/SR Space-Time: Explaining Gravitation and its Geodesics

    Hello everyone, I am a self taught (dare I say Physicist?). I have been struggling with a specific concept of GR/SR. This concept is "Gravitation" and it's explanation. As I understand it, classic Newtonian gravity in which mass attracts to other mass is not technically correct. There are...
  33. T

    Plotting space-time curvatures as curved 2D-surfaces

    What would be the easiest way to plot a space-time curvature from a metric as a curved 2D surface. For example the Alcubierre metric would be plotted with the result as in the attached image. The mathematical programs I have at my disposal right now are Maple, Matlab and Mathematica. I'm much...
  34. B

    Space-time transformations with different shape

    I find in the literature the following transformation equations for the space-time coordinates x'=g(x-vt) t'=t/g g=gamma. Please tell me what do they bring new in the approach to SRT? Thanks
  35. A

    On Snyder's paper on Quantized Space-Time

    Hello, I have been trying to work out the mathematical details of H Snyder's 1947 paper, titled http://prola.aps.org/abstract/PR/v71/i1/p38_1" , and I am stuck at something. When the space-time variables are considered as Hermitian operators, and we need to verify that they satisfy Lorentz...
  36. B

    Lorentz contraction from space-time interval invariance

    Please tell me if it is possible to derive the formula which accounts for the Lorentz contraction from the invariance of the space-time interval. Thanks
  37. H

    Space-time Fabric: how what and why it warps?

    I would like to ask another 3 question, 1.Gravity causes warps in the space-time fabric in general Relativity what cause this gravity? i was told in grade school it was with the planets rotation around its axis, but now, trying to do my own research in General Relativity i have found nothing...
  38. B

    Proper Length and Time Intervals in the Lorentz Transformations

    Please tell me if the following statement is correct: In cc(dt)^2-(dx)^2=cc(dt')^2-(dx')^2 dx and dx' represent proper length dt and (dt') representing non-proper time intervals.
  39. R

    Equation for how much an object curves space-time

    hey guys, I asked my( well she's not mine since i don't take physics yet)physics tacher if there is an equation to find out how much a body can curve space-time, but she gave me f=Gm1m2/r^2. But I'm pretty sure that's not it. I know that the equation is not linear. Could one of you guys who...
  40. L

    Is Space-Time Finite or Infinite?

    *note: I had this reviewed by a moderator before posting, so I hope you consider it appropriate to this forum. Hypothetical proposition (of the form “if p, then q” – without asserting the truth of p or q): If space-time S is not infinitely divisible, then space-time S cannot be infinite in...
  41. F

    An way to visualize dark matters effects on space-time?

    In an attempt to explain space-time curvature and gravity, the analogy of a flat rubber sheet is often used whereas a massive object, such as a bowling ball indents the sheet in the same way that a massive object such as a star creates curvature in space time. Would it be a fair analogy...
  42. W

    Gravity and the Space-Time Web

    As i know the model of how gravity works is. The fact that there is a web of space time that you place a ball (sun) into it pushes down onto it, then placing smaller balls (earth) into this dent and they will in and around it... What I do not understand is how in the world is this logically...
  43. Bob Walance

    Gradients in the curvature of space-time

    Greetings all. This is my first post. I'm a newbie to general relativity, but I think I'm getting the hang of it thanks to some helpful professors at UC Berkeley. From what I understand, and now fully believe, there are no external forces applied to an object that is free falling in...
  44. C

    General formula for space-time distortion?

    Ok let me begin by saying I'm far from an expert on this subject... but I'm doing some personal research and have a question. Please answer without being TOO technical xD (I can do some calculus and somewhat advanced math but not like insanely complicated math.) Anyways... does anyone know any...
  45. U

    Curved space-time observed and confirmed

    Neutron Stars (black hole?) picture. maybe this not news. Published in something like "physics review of celestial body". I attached a pic, but it does not manage to show.
  46. K

    Does Penrose theorem about Space-time forbid 'Strings'

    Penrose proved that a more than 4-dimensional spacetime would be unstable.. does this mean that String theory is completely wrong?? (since this only works on 11 dimensions). Also without offending nobody's beliefs .. .what're the proofs for the existence of String theory ??, its math elegance...
  47. L

    Gravitons and gravity vs curvature of space-time.

    Hey, I've been a little confused on the concept of gravitons. I know that they are the messenger particle of the gravitational force, but I thought that gravity was a result of the warping of the fabric of spacetime. If a large star warps spacetime, therefore attracting things around it, then...
  48. K

    LQG how do you get the Quantum of Space-time

    That is the question, if you assume the space-time is discrete then it will be an smallest amount of volume line surface and so on, but how do you know how big this amount is ? for example in usual QM we have that energy is quantizied so the avaliable energy levels are eigenvalues of the...
  49. U

    Can space-time curvature be applied to artificial satellites.

    I do wonder if space-time curvature can be applied to artificial satellites ... I think yes because that could be the reason why they are revolving around earth. Doubt:But what happens if they gain velocity more than the escape velocity. I could be conceptually wrong but if the above...
  50. B

    Phase transitions of space-time?

    Don't you know what are http://motls.blogspot.com/2005/03/melting-crystals-and-quantum-foam.html" ? Horse-radish, you will understand that.:cry: What I imagine. At the beginning there was space-time and it was a solid, a crystal. Then there was the Big Bang, there came a Brane and knocked...
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