Space-time Definition and 419 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.

View More On Wikipedia.org
  1. 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...
  2. 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...
  3. wolram

    Is the Expansion of the Universe Driven by Mass?

    Has space time any mass? If space can expand, then it suggests that (some thing) is feeding the expansion, if so then that (thing) may be the missing mass .
  4. V

    Exploring the Fluid Nature of Space-Time

    I've heard that some physicists think space-time is like a liquid. So why aren't we dissolving in it?
  5. P

    Is the trampoline analogy an accurate representation of space-time curvature?

    Textbooks usually illustrate space and our solar system with the planets lying on a sheet where the heaviest object at the centre is the sun. Other planets surround it in orbits. The attraction towards the sun is due to the dent created by the sun. This is a result of GR. If this theory is...
  6. J

    Is it Possible to Determine the Temperature of Space-Time?

    Well, I was wondering if anyone knows of any way to relate the concept of temperture with space-time, at least intuitively. Is there an energy-density type argument one could use? Are there equations in GR that have a similar form as those of entropy and temerature relationships? I have sort of...
  7. M

    If an observer accelerates he must rotate in space-time?

    It is my understanding that if an observer accelerates he must rotate in space-time. But then why is that factor generally omitted in the calculations related to accelerations?
  8. quasar987

    Link btw manifolds and space-time

    Fact: Spacetime is a curved pseudo-Riemannian manifold with a metric of signature (-+++). Fact: A manifold is a set together with a topology that is locally homeomorphic to R^n. Question: In the case of space-time, what is the set, what is the topology and what is n?
  9. M

    Space-Time Curvature in General Relativity

    Is it accurate to claim that space-time curvature in general relativity means a curvature of a space-time with a Minkowski pseudo-metric?
  10. dextercioby

    Can space-time homogeneity put limits

    ...on the gauge-invariance of classical electrodynamics ? I'm thinking of flat Minkowski space-time of SR in which a charged particle moves and generates an electromagnetic field described by the well-known Lie/nard - Wiechert potential. In this situation can we say all spacetime is...
  11. V

    How should we convey curved space-time?

    When trying to visulaize curved space, in popular books and science documentaries we seem to always see the http://www.metaresearch.org/cosmology/images/rubber%20sheet%20analogy.jpg" [JPG] taken from a book I have, and although it may be a little harder to draw an analogy from it, I think it's a...
  12. B

    Why Do Space-Time Diagrams Reverse Axes in Special Relativity?

    when we teach classical space time diagrams we measure on the vertical line the dependent space coordinate whereas on the horizontal axis we measure the independent time coordinate in accordance with what we learn say in analytic geometry. in special relativity we reverse the situation...
  13. A

    Beginner: Strings and space-time supersymmetry

    I was wondering, OK it is a gedakenexperiment because it is beyond observation, but... how is space-time supersymmetry (no worldsheet susy) supossed to appear from the point of view of states of the fundamental string? Do we observe entities with spin 0 and spin 1/2 having the same mass? And...
  14. R

    Space-time contraction question

    We know from experiment that time (a measure between two events) slows as we approach speed of light, but does the meter stick (a measure between two entities) then shorten as we approach speed of light ? If yes, since time stops at speed of light, then does meter stick disappear at speed of...
  15. J

    Matter and space-time mutually exclusive?

    Sorry, but I just want to know where I can learn more about this idea. ie. Where matter is, space-time is not. (I know it's a bad way to state the idea because space-time isn't within another space of some kind.) What I'm trying to explain is the idea that elementary particles are "voids" of...
  16. H

    Exploring the Possibility of Everything Being Space-Time Geometry

    First of all I am not claiming that I have a new theory or something.What I am just saying is that I have another viewpoint of looking at the things which will follow.Before that,I request you all that if you read the post please leave a reply,may be a comment,a flaw that you find,some...
  17. D

    Do hyperbolic and elliptic versions coexist with Euclidean Space-time?

    Speculation for helical mechanics in space-time. These illustrations may demonstrate [not prove] how Euclidean space [anthropic perspective] may coexist with hyperbolic space of Gaussian curvature and elliptic space of Riemannian curvature. [The hyperbola is reciprocal to the ellipse in...
  18. M

    Can Light Curve Space-Time and Create a Gravity Well?

    I have a question that has been bugging me since my Special relativity course... (uhm that would be two years now...) We all know that matter produces a gravitywell that bends light. That has been shown lots of times, in fact astrophysics would be a bit dull if that didn't happen... But how...
  19. A

    Beginner: Strings and space-time supersymmetry

    I was wondering, OK it is a gedakenexperiment because it is beyond observation, but... how is space-time supersymmetry (no worldsheet susy) supossed to appear from the point of view of states of the fundamental string? Do we observe entities with spin 0 and spin 1/2 having the same mass? And...
  20. I

    Exploring the Concept of Space-Time Flow: A Scientific Inquiry

    I had this thought today; If I have a cup of pure water I know that it is composed of hydrogen and oxygen atoms. But there is also the empty space between the individual molecules and between the individual atoms and between the atomic particles. This empty space must be no different to the...
  21. B

    Space-Time Geometry: Consequences of Minkowski's Relativity

    under which circumstances do we say that something in special relativity is the conseqeunce of space-time geometry (Minkowski)?
  22. B

    Why is space-time 3+1 dimensional?

    "Why is our space-time 3+1 dimensional?" The question had been raised by Kant and Hegel for more than 100 years Could there be any possibility of "simple explanation" within the framework of Relativity or Quantum Theory:shy:
  23. F

    Fabric of Space-Time: Investigating Wormholes

    Hi guys, I had an idea on the formation of worm holes...I'm not sure if this holds up at all but here goes. The basic idea is based on an elastic band. If you stretch an elastic band beyond the elastic limit, cracks start to appear until eventually the band will break...Now, imagine that...
  24. O

    Is it Possible For A Particle To Stay Completely Still in Space-Time?

    What is the minium velocity that a particle can have through space-time? What is the maximum velocity that a particle can have through space-time? Thanks!
  25. M

    Space-Time Fabric: Is There Anything Beyond?

    If space-time looks like a piece of fabric (or an inflating balloon, in the inflation analogy) what is on the other side of the fabric? Or does space-time not look like a piece of fabric at all...? Like some scientists are suggesting that it is a fluid...?
  26. -Job-

    Gravity in a Warped Space-Time: Is It Possible?

    I was wondering if in the GR model for gravity it is possible that space-time be naturally warped (by which i mean warping not caused by matter). In such a region would one experience gravity, even without any matter around?
  27. dextercioby

    Find # of Independent Components of Riemann Curvature in D Dimensions

    How do i find the number of independent components of the Riemann curvature tensor in D space-time dimensions. One is given that the Riemann tensor is an (2,2) irreducible rep of GL(4, \mathbb{R}) and obeys Bianchi I R_{[\mu\nu|\rho]\lambda}=0 Been trying this problem for 3 days and...
  28. bayan

    Space-Time dimentions & plane of Sxistence

    Hi guys. Been thinking about this for quiet a while now and I just want to see if I can get any answers to it. A 3D object is able to see 1,2 and 3D object right? (Within a reason, not saying we can easily see an electron) And we know there has to be more than 3D (excluding time for...
  29. DaTario

    Inductive reasoning in small space-time scale

    Hi All, I would like to hear opinions about an explanation I gave some time ago to provide physical fundamentation to the concept of instantaneous velocity. I started showing a typical situation where one calculates average velocity between events separated in time by one second. Along the...
  30. U

    Minkowski Space-Time Metric: Exploring Electromagnetism's Alternative

    Electromagnetism being mediated by space-time rather than particles or waves is based on the validity of the Minkowski space-time metric. Energy held by a quantum object A at an event 1 can jump to a quantum object B at an event 2 provided the proper interval separating the two events has...
  31. P

    Can Space-Time Be Quantized and What Could That Mean for Physics?

    I only dabble in physics, so a layman's explanation would be appreciated. My question is, can space-time be quantized? I know that Plank's constant is often used for both length and time, so does it apply also to space-time? I ask this question because it appears to me that this concept can...
  32. P

    My thoughts on Space-Time and Matter-Gravity

    Let me start by saying that I’m a novice when it comes to various theories in Physics and what I write below are my attempts to visualize the concepts behind what I learned. It’s more or less for my enjoyment in trying to understand Nature. Many concepts I present may be borrowed from existing...
  33. M

    Explaining Curved Space-Time to a Friend

    Anybody-- A friend of mine, whom I highly respect, made the following comment the other day: "If you travel in one direction fast enough, you'll eventually get back to where you started." This was so strange an 'idea' I didn't even know how to respond! After awhile I asked him how...
  34. E

    Calculating Curvature of Space-Time for a Body of Mass

    What equation do you use to find the curvature a body of mass creates? I know the answer for the suns mass is 1.75 arc-seconds. So if I took the g of the sun and divided it by the g of the Earth and divided 1.75 arc-seconds by the ratio of the g difference would I get the Earth's curvature...
  35. U

    Does Proper Interval Locality Resolve Compton Effect Interpretations?

    In the Compton Effect Revisited The Proper Interval Locality Interpretation (http://www.electrodynamics-of-special-relativity.com/Compton-Effect ) we showed that a zero interval strike from a bound electron in a remote quantum system was the equivalent of being struck locally by a photon since...
  36. D

    Does anybody have a better analogy of describing space-time curvature?

    The old 2D paper describing 3D curvature is a little lame because it uses gravity to describe gravity. You know, the little ball circling the 2D psuedo-black hole, well remove gravity and the ball would fly off the 2D paper, you can't use gravity to describe gravity. It would be like saying...
  37. X

    Question about GR - movement in space-time

    Is it true that nothing physical can move in space-time? As a layman in GR i really wondered whether anything physical can move in space-time because movement in space-time is self-referential and will contradict the basic definition of space and time. Also check out this...
  38. D

    Exploring Space-Time & SR: Why so?

    In http://www.freewebs.com/mouldy-fart/Space,%20Time%20and%20SR.pdf paper the author wrote: t'=\sqrt{\frac{4h^2}{c^2-v^2}}=\frac{2h}{\sqrt{c^2-v^2}} t'=\frac{2h}{\sqrt{c^2}}\frac{1}{\sqrt{1-\frac{v^2}{c^2}}} Why so? Also, isn't the relativistic beta considered just v/c, not as the...
  39. F

    Space-Time Curvature: Causes & Movement

    I understand that the curvature is caused by the depression of a mass in the space-time surface. What I don't understand is what is causing this depression. For example, is it the bodie's resistance to the motion of the space-time surface? Or is it that the curvature is caused by the...
  40. J

    Space-time and the speed of light

    hi, In special theory of relativity time is considered as a fourth dimension of space-time, using speed of light.I am worried, why speed of light should be involved in a theory of space-time ? Space and time must exist in the absence of light also. So do not we need a theory of space-time in...
  41. J

    Universe be described with mass imbedded in space-time?

    Can our universe be described with mass imbedded in space-time? Every point in space-time may or may not be occupied by an amount of matter-energy (is the way things are conventionally thought of); but, in knowing that the density of space-time can vary, what if matter-energy is also a...
  42. B

    The effect of curveture on space-time

    our current universe has no curve to it, this means that parallel lines stay parallel to the extent of infinity. suppose there was a universe that had a negative curve to it... this cause parallel lines to eventually intersect... what i am not clear on is if these lines would not only join at...
  43. J

    Deja vu is a ripple in space-time

    alright i have an understanding that deja vu is a ripple in space-time because of maybe a star going super nova or whatever, is that a creditable claim?
  44. J

    Light speed and space-time distortion

    what causes space-time to become distorted by traveling at light speed or close to it at a quantum level
  45. M

    Solving for the space-time metric in the QFT integrals

    I just heard that the cosmological constant is a coupling constant in some perturbative expansion of some QFT and can be interpreted as a mass? Is this true? Wouldn't that be interesting? That would mean that the GR effect of expansion may be responsible (or may be an equivalent expression for)...
  46. O

    Einstein's warping of space-time as a theory of gravity

    Heres what i don't understand, a massive body in space causes the space around it to warp in accordance with its shape, fine i understand that. What i don't understand is why the massive body would warp the space beyond the close surface of it's body. Which, according to einstein it does and...
  47. G

    Exploring Space-Time and Time Cones

    I've been reading all about time cones, and space-time, and those general ideas. i forget if i already posted about it a whil ago, but if i did, obivously i didn't quite get the right answer because i still don't understand it... but i was looking at a picture too in an astronomy book a while...
  48. turbo

    Quantized space-time and redshift.

    I have been reading about Loop Quantum Gravity and about Spin Foam, and I am stuck on a (probably stupid) idea. It seems that one of the underpinnings of these concepts is that space-time is quantized in discrete units at the Planck scale. If space-time is quantized and the universe is...
  49. O

    Explaining 4D Space-Time in Simple Terms

    Can anyone explain 4D space-time in a simple form ? Some say the Hawking's expalanation is the simplest but I don't get it :biggrin:
  50. J

    Gravity: Warped Space-Time or Graviton?

    if common theory states that gravity exists due to a warping of space-time, then that really doesn't leave any room for the graviton, right? or wrong?
Back
Top