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Can Spacetime be Quantized?

  1. Jun 3, 2004 #1
    If space is restricted to just one dimension, can this 1-dim space together with the 1-dim time be subjected to a process of quantization?
  2. jcsd
  3. Jun 3, 2004 #2
    Planck's constant.
  4. Jun 3, 2004 #3


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    Why would space be restricted to one dimension? And no, I don't think it can be quantized. The Planck Length refers to something like the smallest space you can contain a particle in, any smaller and it would explode or something. I suppose you should look this up, because I obviously don't know too much with regards to this. Planck Time is said to be the smallest unit of meaningful time, I don't know if this means that half a Planck Time cannot exist though.
  5. Jun 3, 2004 #4
    How can any kind of information travel from one region of space to another through gaps in space that represent no medium at all. It cannot. Therefore, space is connected and continuous.
  6. Jun 3, 2004 #5
    I supposed you meant that space is static. But if space is dynamic, then information can move from point to point.
  7. Jun 3, 2004 #6
    Quantization of spacetime resulted the square of energy given by the following vector cross and dot products.

    [tex] E^2 = \psi_i \times \phi_i \cdot \psi_j \times \phi_j[/tex]
  8. Jun 3, 2004 #7
    ...anything is possible. if you could find out the basics for quantizing spacetime, then yea, it can be.
  9. Jun 4, 2004 #8
    One of the many quantum theories - Loop Quantum Gravity - refers to Space as being granular, the size being based on Planck's Constant.

    Planck's Time is referred to as the smallest unit of measurable time because any smaller and it becomes meaningless, mainly because all measurable events happen at multiples of Planck Time.
  10. Jun 4, 2004 #9
    Planck time ([itex]10^{-43}[/itex] sec) is more formally defined as the time it takes light to travel the distance of a Planck length ([itex] 10^{-33}[/itex] cm).
  11. Jun 4, 2004 #10
    As the gravitational force between galaxies weakens with expansion of the universe,
    dark energy mass increases.If this mass increase comes from gravitons losing energy to dark energy,then perhaps gluons do also.Gluons emit gluons - quanta of energy,
    and presumably these can become dark energy mass.Therefore dark energy can increase in mass in a quantum way.The amount of Dark energy is related to the increase of space with increasing time, so space-time is quantised.
  12. Jun 5, 2004 #11
    The weakening of gravity between galaxies (ordinary matter) does not affect the amount of dark energy. What affect the dark energy is the change of dark matter. This kind of matter does not emit light, it cannot be seen, therefore dark and still it can exert gravity causing the discovered anomalous motions of stars in a galaxy.

    Dark energy does contribute to the expansion of the universe because it's more than just energy. Dark energy possesses intrinsic pressure (force per unit area). This pressure can become negative, positive or zero. When it's positive, it give rise to attractive gravity. When it's negative, it give rise to repulsive gravity or antigravity. When it's zero, the gravity force is also zero and experimental mass is zero.

    The gluons are quanta of the strong nuclear force. They are messenger particles of the binding force. This strong force is attractive because the color charges are attractive charges. Gluons do not affect the change of dark matter or dark energy. The quanta of dark matter or dark energy are similar to the Higgs bosons or inflatons (in contrast, the quanta of ordinary matter are the gravitons). These are still not settled by theorists. These are RIPs (research in progress).
    Last edited: Jun 5, 2004
  13. Jun 5, 2004 #12
    What is this silliness of quantizing space-time? Quantization is acheived through the eigenvalues of a differential equation of continuous variables. So there must be some background of continuous variables.
  14. Jun 5, 2004 #13

    After reading Three Roads to Quantum Grvaity by Lee Smolin, this question ( discreteness and continuity), becomes really interesting in terms of the background.

    Now you have two choices. Marcus helps to elucidate this question, as it is one of deep concern. I have been trying to concretize this in conceptualization.


    Again the logic here of Venn diagrams is troublesome, in that we have to answer this question. This also points us to the question of the universe and its formation.

    Self Adjoint in Mkaku today, speaks to this in energy conservation, and for me, this lays the foundation of the Eykroptic universe, versus the Big Bang.

    The dynamical nature of this one scenario, recognizes the dynamical nature that this universe is going through, and does not define some beginning.

    Taken aside The Continuum Hypothesis has been a issue along this line I tried to understand and the issue was rebuked here by logical explanation in the following linked responses. Is this part of our troubles in acceptance of the Eykroptic scenario?
  15. Jun 5, 2004 #14
    Using the concept of set, the continuous background of the universe is the null set. In this set all distances are zero. The space dimension is zero. There is no time dimension in this background. This is the missing dimension (background dimension) discovered by M-theory.
  16. Jun 6, 2004 #15
    Theorized by M-theory, not discovered.

    The NULL set would define the universe prior to the Big Bang - albiet apart from the pythagorian point/ origin of the Big Bang, which would be the !NULL set.

    As a consequence of the Big Bang, the NULL set would no longer be ( NULL + !NULL = !NULL ).

    The only way any part of the post Big Bang Universe could be viewed as NULL, including the background, would be if you ignored everything else.

    The background only becomes the background when there is a foreground, so it cannot be viewed in isolation, or as a NULL.
  17. Jun 6, 2004 #16
    What you said make sense. This lead me to wonder if this foreground/background can explain why the the N-pole and S-pole of magnetism cannot be isolated into monopoles.
  18. Jun 7, 2004 #17
    Assuming magnetism is a flow by way of alignment with an structure, you have a flow from right to left or from down to up giving you the two poles.

    To isolate them into monopoles, you would have to isolate the from right from the to left. Now if something is flowing to the left, surely it must have come from the right.
  19. Jun 7, 2004 #18
    The left-right symmetry is just part of eight symmetric properties of a principle of directional invariance given by top-right-front, top-right-back, down-right-front, down-right-back, top-left-front, top-left-back, down-left-front, down-left-back. These eight properties have to exist before any object can be observed, physically speaking.
  20. Jun 8, 2004 #19
    Sorry this discussion certainly overpasses my poor knowledges but I should want to bring some new elements.
    In observing the nature, one can recognize objects and structures separated from other objects; because of this, we can count and say I have 1, 2, 3, cars f. ex. (I have only one in fact) I can't have 1,3455 car. Each of this observable object is clearly identified because it has a limit, a boundary. That means (doing it very short) no boundary = no quantification.
    On an other side the universe is what it is and does not need the human existence to exist itself. Human people just observe the universe with binoculars and tools. One of these tools are the mathematical frames that we need to answer to following questions: how long is this car? how many time do I need to go to Paris? I mean, there is in fact no real frame but only the frame that we mentally built to make a map of our world, a good representation of the universe.
    Conclusion: would any mathematical systematic quantization of the space not only be an illusion of our mind, even if the future proves that it is a good tool to describe our reality (= what we see with our binoculars)? A real physical quantization of the space would mean that this space would be built with small separate balls that a good microscope could identify... Blackforest
  21. Jun 8, 2004 #20
    When space is static then its points are separated by quantization. But when all the space points are moving then when a point move there another point move here so that there is always something here and there and space remains continuous. The quantization of spacetime is the quantization of this local movement of space points. It is quantized and yet it is also continuous.
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