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. CjCastro

    Photons and Space-Time Expansion

    Hello all! I apologize if this question has been asked already, anyways I have a conceptual question, let me see if I can explain it properly. So we know that the universe is expanding at a rapid rate, very rapid in fact, space and time itself is expanding; and we also know the maximum speed...
  2. O

    Is a Metric Feedback Possible in General Relativity?

    Apologies for not doing too much research prior to asking this question; I suppose actually delving into the mathematics would reveal the answer I'm looking for but I haven't taken the time just yet. Considering the concept of GR where matter/energy tells space how to curve and space tells how...
  3. Arthur95

    Space-time & Gyroscopic Effect: Arthur's First Post

    My first post (and from a mobile), so please pardon any impropriety... If gravity bends spacetime, wouldn't we expect to see that effect on a rotating gyroscope? Using the Earth's axial tilt as an example: we have seasons through the year as we orbit, but shouldn't the curved spacetime created...
  4. A

    Space-time travel in String Theory

    Is it allowed to travel to the past in ST?. I've always thought about paradoxes in the regular framework (4D space-time). What about ST framework?. I need a little guidance here. Thank you in advance, AGZ
  5. Justice Hunter

    How Does Extreme Rotation Affect Space-Time Around Massive Objects?

    So i just had a thought. A rotating object creates a small but identifiable vortex in space-time. I would imagine that the faster the object rotates, the more drastic the vortex becomes. My question is, if you were to have a massive object rotate very fast, at near the speed of light, how does...
  6. Mohan Nivas

    Space-Time Singularity: What, How, and Is It Possible?

    What is space-time singularity? How it formed...? Is singularity possible..?
  7. U

    What Are the Steps to Solve This Space-Time Metric Homework?

    Homework Statement (a) Find ##\dot \phi##. (b) Find the geodesic equation in ##r##. (c) Find functions g,f,h. (d) Comment on the significance of the results. Homework Equations The metric components are: ##g_{00} = -c^2## ##g_{11} = \frac{r^2 + \alpha^2 cos^2 \theta}{r^2 +\alpha^2}##...
  8. Quarlep

    Does space-time have an energy itself?

    Is space time has a energy itself ? Thanks
  9. H

    Pre-Big Bang Space-Time: A Possibility or a Speculation?

    Could it be possible that space-time might have existed before the big bang, but separately? And that "time" somehow collided with "space", and then merged together into space-time, and in the process created energy as a bi-product? Or how about if "time" collided with "space" like above...
  10. BiGyElLoWhAt

    How Did Clifford's Theories Influence Modern Physics and String Theory?

    http://en.wikipedia.org/wiki/Kaluza–Klein_theory ##http://link.springer.com/article/10.1007/BF01390677 (original german paper, Ich kan nicht Deutsche) http://www.scientificexploration.org/journal/jse_21_3_beichler.pdf (this author makes some interesting arguments) Also, a lot (if not all...
  11. binbagsss

    FRW Metric: Parameter k & Space/Space-Time Relationships

    This is probably a stupid question but does k=1,0,-1 correspond to closed,flat,open refer to space or space-times? Looking at a derivation what each geometrically represents is only done when talking about the spatial part of the FRW metric. As space can be flat and space-time still curved...
  12. D

    Can Magnets Bend Space-Time and Enable Time Travel?

    I was interested to know as magnetism works in space. Can magnets be used to bend space-time? If this is possible may be able to time travel.....
  13. Cobalt101

    Gravity as a particle-based force vs space-time warping

    I'm interested to understand the interpretation of gravity as a result of exchange of force particles (ie gravitons) vs General Relativity-based warping of space-time. Related to this is while a constraint to speed of cause and effect would apply to the graviton-based concept, why should this...
  14. S

    Entanglement as the fabric of space-time?

    1. A photon does not experience time, does a photon experience space? (between interactions?) 2. When photon is bound between electron orbital levels it is "stuck" there and hence experiences time? When an electron jumps to a lower orbital it will emit a photon, this photon would then move at...
  15. S

    Inventor Seeks to Know if Space-Time Can Move FTL

    I consider myself a science fiction inventor. I have recently theorized a space-time pumping machine and want to use it as a faster than light propulsion theory. I really like to make my inventions very close to real physics and wonder if anybody knows concretely whether space-time can move...
  16. Quarlep

    Relative velocities In Space-Time Diagram

    How can we show one dimensional relative parallel velocities in space time diagram ? (One dimensional means there's only pozitive and negaive values of speed)
  17. S

    Is this evidence for a space-time continuum?

    I have always wondered if spacetime is actually smooth, or if it is granular such as a quantized spacetime. I remember learning that if you draw the smallest possible square around a circle, you will, of course, get a perimeter, 8 times the radius of the circle. Then if you draw in the...
  18. WCOLtd

    Equivalence of Matter Energy and Space-Time?

    This is probably a stupid question, but is there an equivalence between matter, energy and space time? Like for instance if you had a ball of 1 kilogram, could you convert it into volumetric space and have everything around it be further away? When two or more objects are going further away from...
  19. B

    Adding Another Time Axis to Space-Time Diagram

    Can we add another time axis to Einsteins space time diagram? Since space and time are one thing they can be represented by one axis. The other axis can be a cosmological constant average axis. By adding this extra term can mass and energy be measured by a time scale relative to the expanding...
  20. S

    Inverse curvature of space-time

    Assuming that my understanding is correct, I believe it was Einstein who proposed that gravity is the result of the warping or curving of space-time. My question is this: if gravity, which is solely attractive in nature, is the result of warped or curved space time, then is it possible for the...
  21. S

    How to explain the curvature of space-time to students

    I teach a class on astronomy and recently tried to explain the curving of space time by massive objects like neutron stars and black holes. I even used a sheet of spandex to represent space-time which we bent using different weights. However my students were very confused how space, which they...
  22. C

    Determining Metric of Space-Time (H.P. Robertson 1949)

    In a paper published in Reviews of Modern Physics in 1949, http://journals.aps.org/rmp/pdf/10.1103/RevModPhys.21.378 , H.P. Robertson provided an analysis of the physical implications of the Michelson/Morley, Kennedy and Thorndike, and Ives and Stilwell experiments which seems definitive with...
  23. J

    Dark Energy: Is Stretching Space-Time the Answer?

    Hello anyone who can answer. I have a question concerning dark energy (Please realize that my knowledge is limited on this subject) It is known that the universe is expanding at an accelerating rate, scientists say this is due to the mysterious dark energy. It seems to go against our...
  24. A

    Exploring Space-Time: Dilation & Concentration

    Hi all, I was wondering if anybody else here thinks the concept of space-time dilation/concentration (curvature) is a little bit funny, not in the sense of it having an effect on the neighbouring particles, but in the sense of actually stretching or contracting, as though it itself had certain...
  25. D

    Exploring Possibility of Quantum Space-Time

    Is it possible that Quantum Space-time would exist?
  26. RCopernicus

    Space-Time Projection on Space

    I know that Space-Time is curved near the source of stress, but I'm not quite as clear what that means for the projection onto normal space and I'm trying to get my head around it. Is a kilometer on Mercury the same as a kilometer on Neptune? Is there a relatively simple formula (that is, an...
  27. F

    Analyzing Space-Time Trajectories: Rectilinear & Positive Velocity

    There's this graphic of space (s) versus time (t) of a particle. How would I know if the trajectory is always rectilinear and if the velocity is always positive? Observation: none of these "sentences" are true in this graphic. But I want to know how would I know these things if they were...
  28. ShayanJ

    Puzzling thing about QFT in curved space-time

    In the page http://en.wikiped ia.org/wiki/Hamilton%E2%80%93Jacobi%E2%80%93Einstein_equation, under Shortcomings of four-dimensional spacetime", you can see the following line: Is it correct? If it is, how can it be? Because in GR, gravity is space-time curvature!
  29. S

    The Frothy Space-Time Quantum Foam What is beyond the Foam?

    In theory by John Wheeler...The Space Foam is a billion trillion smaller than the nucleus of the Atom, what is potential smaller than the Quarks, Calabi Yau Manifolds, Vibrating Strings and Space Foam? Is there anytime smaller than the Space Foam?
  30. J

    Dark Matter. Space-Time curvature. Galaxy formation

    1. Gravity is the geometric curvature of space-time caused by massive objects. 2. Dark Matter surrounds galaxies. 3. Dark Matter is thought to be critical in galaxy formation. 4. The mass of Dark Matter creates curvatures in space-time around baryonic matter which forms galaxies. What roles...
  31. N

    Is Spacetime Fabric Truly 2D or Just a Visual Representation?

    I've always been interested in Space-Time fabric and have been trying to get a clear answer to whether or not its an actual fabric that's two dimensional or is that an easier way of understanding it when talking about gravity and matter and how Space-Time is effected. If it really is 2D, why?
  32. B

    Bianchi IX Models: Cosmology Calculations & Quantum Field Theory

    Hi guys! I'm currently working on a topic in the field of cosmology, more specifically Bianchi IX models. It is hard to find any form of information about this specific subject. And of course I don't just want to derive the metric for Bianchi IX, I also want to apply this model and do some...
  33. A

    Space-Time: Definition & Meaning

    So what actually is space-time.
  34. Drakkith

    Types" of Space-Time Curvature in GR

    When we talk about space-time curvature or the curvature of space, how many different "types" of curvature are there according to GR? For example, the rounded surface of a cylinder is curved in only 1 dimension, while the other is flat. For a sphere, both dimensions of the surface are curved...
  35. Y

    Space-Time & Matter: Explaining the Difference

    Hello experts, Could someone suggest some materials that would explain to me the current state of knowledge about how space and time are two aspects of the same thing, but matter is not? I've seen and read many popular explanations of how space-time was unified by Einstein's theories of...
  36. interhacker

    What is your favourite episode of Cosmos: A Space-time Odyssey?

    The final episode of Cosmos: A Space-time Odyssey, "Unafraid of the Dark", was released today. This marks the completion of the series. Which episode did you like best?
  37. johann1301

    Coulombs Law & Space-Time: Exploring the Connection

    Im reading about Coulombs law in my textbook. It states that: "The forces between to charged particles are proportional with the charges Q1 and Q2, and inversely proportional with the square of the distance r between them. F=kQ1Q2/r2 The forces acts along the straight line between...
  38. K

    Space-time curvature without mass-energy ?

    Hi everybody, As you know, the Einstein field equation R_{μ\nu} - 1/2Rg_{μ\nu} =κT_{μ\nu} implies that at any point with vanishing energy-momentum tensor the Ricci curvature also vanishes: T_{μ\nu} = 0 \Rightarrow R_{μ\nu} = 0 hence a Ricci-flat space-time (the vacuum...
  39. S

    Magnetic Fields & Space-Time: Can They Bend?

    Can a magnetic field bend space-time?
  40. G

    Real examples of the space-time interval

    If the space-time interval is calculated according to: ds2=dx2+dy2+dz2-c2*dt2 what might be an example of 2 events in space-time separated by this interval? Suppose for example ds2 =1 (or a constant) and the first event was at the origin where would the second events lie? Am I...
  41. MarkFL

    MHB Cosmos: A Space-Time Odyssey premiere's Sunday, March 9

    I'm sure many of you remember the original series hosted by Carl Sagan that aired on PBS during the 1980s, and how well it was done. I'm really looking forward to this new version: Cosmos: A Space-Time Odyssey - Wikipedia, the free encyclopedia I have come to respect Dr. Tyson for his deep...
  42. S

    Space-Time Warpage and Kinetic Energy

    A mass moves through space-time at constant velocity. Space-time around this mass is warped by the mass and as the mass moves through space-time it causes unwarped space-time to warp and already warped space-time to warp more. In addition, the space-time it has moved through de-warps. Why...
  43. D

    If all space-time already 'exists' then

    ...is the impression that "God plays dice with the universe" an illusion? If all time in the universe is already defined, then, is the apparent randomness a result of the nature of the experiments we can perform? Does a 'sum of histories', and quantum probability... 'square' with the...
  44. B

    Gravity and the curvature of space-time

    This is something I have pondered for some while... it is so obvious that there must be an answer and is probably a silly question, but I haven't found an answer yet... so... Gravity is a consequence of the localised curvature of space. According to Relativity, space (space-time) is...
  45. V

    Space-time continuity as an assumption in quantum theory

    There is an apparent conflict between relativity and quantum theory, in which case quantum theory must be redundant isn't it as it explicitly makes the assumption that spacetime is continuous whereas relativity in-fact derives the notion that spacetime is continuous from an experimentally...
  46. P

    Single equation for space-time curvature?

    Is there a single equation that can model both spatial and temporal metric contraction simultaneously? And also what's that equation that can model the actual degree of curvature n space-time that uses trig functions and how do you use that in combination with the two previously mentioned...
  47. rakibullah

    Schools Good universities that offer PhD programme on space-time physics

    I am doing my B.S. in physics. I want to do my PhD in theoretical physics from a good university. It may not be a so called top ranked university. I just want a university that will give me the opportunity to innovate new ideas in theoretical physics. I have special interests in...
  48. R

    Space-Time: Does Faster Mass Increase Curvature?

    Hi. I know that as an object travels faster, its mass increases. Would this increase create a larger curvature in space-time?
  49. R

    Understanding Spacetime Diagrams & Relativity

    I really find difficult understanding what spacetime diagram does relativity use while defining its notion of space and time and moving observers. Can we place both a still and moving observer in the same space time diagram as in the figure (A), then the moving observer measures time going...
  50. D

    Space-Time Warping Imaging at 1T fps - Ramesh Raskar

    Imaging at a Trillion Frame Per Second - Ramesh Raskar http://www.ted.com/talks/ramesh_raskar_a_camera_that_takes_one_trillion_frames_per_second.html Although this video is extremely interesting, The part I'm most interested in occurs at about the 9:30 mark. Ramesh Raskar says...
Back
Top