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.

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  1. K

    Gravity as space-time curvature and the need to unify it with quantum mechanics

    Hi there. This is my first posting to this forum, and in fact to any forum in many years, so please excuse me if I have not followed the rules correctly or chosen the correct forum. I have been watching a lot of Neil DeGrasse Tyson-related videos and it has lead me to a line of thinking...
  2. V

    Time variable of space-time at the end of universe

    Time variable of space-time at the end of universe... As universe is continuously expanding at the accelerating speed...expansion of the universe causes Redshift...the whole universe is made up of the tiny particles and the material. Because of this all the material particles of the universe...
  3. M

    Solutions to the space-time metric

    Can someone direct me to the solution to the space-time metric, ds^2 = -dt^2 + dx^2 + dy^2 + dt^2? Thanks.
  4. Q

    Spinors & Space-Time: What Math Prereqs Are Needed?

    Are spinors needed in modern theoretical physics as opposed to tensors? I have come across Penrose's book "Spinors and space-time". Does anybody know what mathematical prerequisites are needed to actually understand it? (at least volume 1) Can I manage to go through it with a good knowledge of...
  5. S

    Space-time created ahead of matter - how far?

    As the universe expanded after the big bang it was expanding into nothingness, ie even the fabric of space-time itself didn't exist. How far ahead of the expanding matter was space-time being created for it to expand into?
  6. johann1301

    How far does space-time bend out in space?

    When looking at Earth's ability to curve space-time; how far does these curves go? can they theoretically be registered at the edge of the universe?(just an infinite small amount of course).? i suppose i could just ask if Earth's gravity stretches everywhere in the universe? or.. is there a...
  7. R

    The shape of space-time around a star

    Gravity around star is often depicted as the curvature if spacetime or a 'dimple" in a flat sheet. What would happen to space-time around a star if the star were to instantly disapear? Would the fabric of space time snap back to flat space or would it reverberate, expanding then contracting...
  8. R

    *May be a stupid question* Does Oxygen/Nitrogen bend space-time?

    I understand that matter and energy bend space time, yet i am curious as to the level at which it requires to bend it. This is obviously an elementary leveled question, but i am quite curious. Also, is there any level of matter that is incapable of bending space-time? Thank you!
  9. nomadreid

    Does the Quantization of Space-Time Imply a Finite Number of Spatial Locations?

    If space-time itself is quantified, and the spatial universe has, at anyone time, a finite volume, would this not imply that at anyone moment there are a finite number of spatial locations? (If so, then integrating over an infinite number of points would only give an approximation.)
  10. A

    Understanding the Doppler Effect in Space-time Curvature

    I have a question that has been bugging me for a while. You see, I have a predisposition of trying to visualize everything that I learn. I have no problem visualizing space-time, black-holes distorting space-time, the universe expanding, etc..., but when it comes to the Doppler Effect I want to...
  11. N

    Does Causality Have Meaning When Spacetime Disappears?

    Please teach me this: What does causality principle mean when space time dissapear(e.g being inner black hole or before Big Bang).Does it meaningless to say about causality when having not the time. Thank you very much in advance.
  12. N

    Exploring the Effects of Space-Time Fabric Elasticity on Time Flow

    if i consider space time to b a fabric as considered by einstein then expansion of this fabric leads in two direction 1-if the fabric has high elasticity then the curvature of space caused by the a massive object will keep on increasing,thus the flow of time will be faster...
  13. F

    How can we test space-time for pseudo-Riemannian-ness?

    Hi all, One thing I found puzzling about several intros to GR is that, after a summary exposition of absolute diff. calculus, without further ado they posit a Levi-Civita connection, then derive the Einstein field eq. As if all manifolds had to be pseudo-Riemann, then. Do they really have...
  14. S

    Space-time at the speed of light

    How does time and space appear to a photon in vacuum (i.e. photon at at the speed of light)? Does time stop, when looked, from the frame of reference of a photon? What about space? Time-space are in a senses interchangeable/inseparable, so how does space-time appear to a photon? Does a...
  15. S

    Space-Time Dilemma: Explaining Earth & Eris Orbits

    Hi there I understand the general idea about the Theory of Relativity and the idea of a 4 dimensional space-time fabric, how the sun ( a mass ) sits on the fabric and creates a well on which the planets sit and therefore orbit the sun due to gravity. But how does one explain the case of...
  16. S

    Extremely Advanced Materials from Manipulation of Space-time

    Hello everyone, I'm a new member of the Physics Forums, and not a physicist by specialization, so please have mercy :-) I'm a linguist by training, and by profession a writer of fiction and role-playing games. I'm currently in the process of getting my first science-fiction novel...
  17. B

    Curved Space-Time: Books & Research on Mass & Force Curve

    Im looking for books or research that contains data on the actual curve of space (for example, the curve a specific mass or force creates) e.t.c If anyone knows any books or research done on this topic would be highly appreciated.
  18. S

    Is entanglement effected by space-time?

    Is entanglement effected by space-time? other than, of course, when entanglement is created/destroyed...Some related thoughts: - information transfer needs mass-energy to carry it - mass-energy cannot travel faster than speed of light - in entanglement...mass-energy is not involved...(in the...
  19. A

    Plot of energy against space-time

    Plot of energy against space-time (from alpha to omega) I was wondering what a plot of energy against space-time would look like going from alpha to omega, using the assumption that the universe is heading towards an omega of flat absolute zero. I came up with a guess of this...
  20. G

    Space-Time Curvature: A New Perspective on Dark Matter?

    Could it be possible that space-time curvature is not caused by matter but is an inherent characteristic of space-time? Wouldn't this explain dark matter?
  21. T

    Space-Time Higgs field interchangability?

    I apologize if this is a nonsensical suggestion/question. I would also like to apologize if this has been placed in the wrong forum. While surfing the Internet I suddenly had a thought. Could the Higgs field (HF after this) be interchangeable or combined with Space-Time? (to be called "ST"...
  22. M

    No real purpose in space-time?

    Hello. This is my first thread. I consider relativistic frames of reference in terms of E=MC2. I'll discuss the mass of my body for an example. If I increase the energy in my mass I lose mass and gain energy. So if I travel at the speed of light, I will have 0% mass, and 100% energy. I would...
  23. N

    How could strange shapes affect space-time?

    How could "strange shapes" affect space-time? To my understanding anything massive enouph to bend space and time noticeably would end up becoming a sphere due to how gravity works. But what if you could have diffrent shapes that were massive enouph to affect the universe? What if you made a...
  24. N

    Geometry of Space-Time, Mass & Speed: Higgs Boson

    How does moving at near the speed of light affect the geometry of space-time? How does an object increase in mass in relation to its speed? Does this have to with more collisions with the theoretical Higgs boson?
  25. M

    The linearization of the metric of curved space-time

    Why Yab=Xab-kHab+k2HacHcb-... and not Yab=Xab-kHab+(1/2)k2Haccb-...? Y is the curved space-time metric X is the planespace-time metric
  26. M

    Wave vector in curved space-time.

    Hi there, physics lovers! Sorry I'm bothering you again. The following may sound as stupid questions, but this is a very hard topic for me, so don't judge me that bad! :) You see, when we're talking about light in curved spacetime, the geodesic equations (or equations of motion) use an affine...
  27. T

    Question about the space-time fabric

    Ok, I sort of understand the space-time fabric but there's one thing that bugs me. In this picture, how does the satellite orbit the earth? I know it's because of gravity but how is affected by the curvature of the space-time? It's not touching the curved part. Or does the curvature go all...
  28. jfy4

    Energy operator in curved space-time

    Hi, I was wondering what the expression would be for the energy operator in general relativistic quantum mechanics. So I attempted it for strictly diagonal metrics. Here it is: Assume a stationary observer. Then the expression for a particle is E=-g_{\alpha\beta}p^\alpha...
  29. R

    Space-time geometry in the absence of matter

    Hi, is Spacetime geometry there even without the presence of matter or does matter produced Spacetime? Or in other words. If the universe is completely empty without matter. Is there a Spacetime geometry?
  30. jfy4

    Geodesic Motion for the Gödel Space-time

    (Hopefully, Part 1 of 2) This is one of my favorite metrics, and I decided that while tedious, and old-fashioned, I would practice for my GR studies by finding the Christoffell symbols and write out the equations for geodesics using the Gödel metric, then attempting to solve them. First...
  31. jfy4

    Kinetic energy and curved space-time

    Hi, I was wondering if the non-relativistic kinetic energy (or the total energy) of a body in a curved space-time can still be written as \frac{\mathbf{p}^2}{2m} As an example, is the kinetic energy \frac{\mathbf{p}^2}{2m} in the Schwarzschild metric for a non-relativistic particle...
  32. maverick_starstrider

    Derivation of space-time interval WITHOUT Lorentz transform?

    Hi, I'm reading a book on SR/Field theories that simply posits the space-time interval and from that defines a Lorentz transform as any transformation which leaves the interval invariant. My question is how do we posit the space-time interval in this manner using only the postulates of...
  33. jfy4

    Transformation law in curved space-time

    Hi, I am wondering what are the transformation laws (Lorentz transformations) for a general metric, if they exist.
  34. C

    Why did the other dimensions stay small in M-theory?

    From what I have gathered, M-theory states that there are 11 dimensions. We live in 4 of these dimensions, and I believe the common understanding is that the 7 other dimensions are incredibly small. At the time of the Big Bang, these 3 dimensions expanded along with the universe while the...
  35. L

    Why does redshift indicate that space-time is expanding

    Since nobody answered my last question I''l try it this way: Why does redshift indicate that space-time is expanding and not that galaxy's are just flying away from each other?
  36. L

    Redshift: expanding space-time or galaxy moving away form each other?

    I know that Hubble observed redshift which led to the conclusion that space was expanding. But why did redshift lead to such conclusion? Why didn't they just think that galaxy were "flying" away from each other instead of thinking that it was the space that was actually expanding? What made...
  37. J

    Manipulating Space-Time with Lasers

    How to change the curvature of space-time around a very powerful laser beam?
  38. Mueiz

    Strange character of space-time

    Suppose we are looking from an inertial frame at two events in a region of space-time. The first event A (0,0,0,0) is the orign of our frame. The second event is B(10,10,5,15/c) where the 4th corrordinate is time and c is the speed of light. Then the total interval between the to event is ...
  39. Mueiz

    Space-Time Puzzle: Why Objects Can't Be in Two Places at Once

    Why is it possible that an object can be found in the same place in different times but can not be found at the same time in different places?
  40. E

    What is the 4-velocity of an object?

    My biggest qualm with the special theory of relativity and, for that matter, the general theory of relativity is the fact that both assume a little bit too much. My first area of skepticism is that so many cling to these as much as they do to Newton's laws, but there has been no tangible proof...
  41. grav-universe

    Exploring the Intertwining of Space and Time in a Galilean Universe"

    This is for anybody who might wish to cling to the idea that there is space and there is time, each of which are measured individually as sole and separate characteristics of the universe by either a ruler or a clock, but that they do not otherwise intertwine as within the context of Relativity...
  42. MattRob

    Is it possible to decrease space-time density?

    Alright, I'm a bit ignorant when it comes to more advanced subjects (well, very ignorant...), but, from my understanding, according to Einstein's theories, a strong gravitational field, perhaps describable as increased Space-Time density, increases the rate of time of an observer and warps...
  43. I

    Does space-time form a closed manifold around a black hole?

    Mass can curve space-time. Is it possible that space-time around a black hole is so badly curved that it forms a closed 4D manifold?
  44. Z

    Can Two Cylinder Space-Time Maps Fully Cover De Sitter's Hyperboloid?

    Hello, I am in a college seminar on Einstein and his theories. One of the topics we have recently been discussing is space-time geometry, particularly that of De Sitter. A question arose the other day about whether two of Einstein's Cylinder space-time maps could be added together in order to...
  45. G

    Exploring the Connection Between Hilbert Space & Space-Time

    What is the relation between Hilbert Space and space-time? Are the two disjoint or is there something relating the two?
  46. Z

    What is the Lorentz-invariant metric for space-time in special relativity?

    Hi, I have been wondering if there is a Lorentz-invariant quantity that satisfies the definition of a metric for space-time. The space-time interval s2 = t2 - r2 [where r is the vector (x,y,z)] does not satisfy the requirement for a metric m that m(t1,r1, t2,r2) = 0 if and only if (t1,r1)...
  47. grav-universe

    What is the nature of the gravitational field and its relationship to matter?

    In GR, there is said to exist a fabric of space-time, and gravity is the warping of the fabric of space-time. Since GR is simply an extension of SR, the fabric of space-time should exist for both, then, both relating to the same universe and all, right? So could the fabric of space-time be...
  48. grav-universe

    Exploring the Concept of an Ether vs. Fabric of Space-Time in LET and SR

    LET, Lorentz ether theory, is identical to SR but invokes an ether as the cause of length contraction and time dilation with motion through the ether. With it, there are no strange conceptualizations according to each observer's own particular reality for what they observe of other frames, but...
  49. Z

    Schwarzschild metric in 3-dimensional space-time

    I'm trying to find Schwarzschild solution for 3-dimensional space-time (i.e. time\otimes space^2). The problem is, I can't take the 4-dimensional solution \[ds^2=\left(1-\frac{r_g}{r}\right) dt^2-\left(1-\frac{r_g}{r}\right)^{-1} dr^2-r^2\left(d\theta^2+sin^2\theta d\phi^2\right)\] and...
  50. E

    Space-Time — Momentum-Energy uncertainty relations

    From the wikipedia page on http://en.wikipedia.org/wiki/Complementarity_(physics)" : As I recently noticed in the double-slit experiment there is a lot of time-uncertainty, not only position-momentum uncertainty. That is shown in the fact that the probability wave does not reach the screen...
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