6 ms·
and with that, plain crystals are automatically upgraded to space crystals
by high_byte 5y ago
and with that, plain crystals are automatically upgraded to space crystals
- rbanffy 5y agoSpace is just time rotated 90 degrees
- high_byte 5y agodamn those perpendicular-time crystals
- whatshisface 5y agoThe laws of physics are only symmetric under euclidean rotations in the three dimensions of space. When mixing time and space, you have to use a hyperbolic rotation, and there is no hyperbolic rotation that turns time into space.
- potiuper 5y agoMinkowski concluded that time and space should be treated equally, and so arose his concept of events taking place in a unified four-dimensional spacetime continuum. Even though Minkowski space treats time differently than space unlike 4D Euclidean space that does not mean that a transformation can not exist that preserves the Minkowski space(time) interval between two events, which is the defining property of a Lorentz transformation. The action of a hyperbolic versor (https://en.wikipedia.org/wiki/Versor#Hyperbolic_versor https://en.wikipedia.org/wiki/Versor#Hyperbolic_versor) with the further development of special relativity came to be called a Lorentz boost (https://en.wikipedia.org/wiki/Lorentz_transformation#boost https://en.wikipedia.org/wiki/Lorentz_transformation#boost). Boosts are a rotation-free Lorentz transformation; should not be conflated with mere displacements in Minkowski space(time). They describe only the transformations in which the spacetime event at the origin is left fixed; can be considered as a hyperbolic rotation of Minkowski space(time). Unfortunately, as Einstein was already aware, a quasi-Euclidean four-space that includes time is not valid, because it excludes the phenomenon of gravitation. In the presence of gravity, spacetime is described by a curved 4-dimensional manifold for which the tangent space to any point is a 4-dimensional Minkowski space. Further, the article takeaway describes a different bound on the applicability of Minkowski (physical) space: "the discovery that, in the case of time, only discrete time-translation symmetry may be broken by time crystals puts a new angle on the distinction between time and space."
- whatshisface 5y agoI'm not sure what you're getting at - it's still impossible to have a rotation that transforms a spatial basis vector into a time basis vector.
- PaulDavisThe1st 5y agoYou're right! But the rotation has to happen in opposite directions through the 7th and 9th dimensions.
- morpheos137 5y agocan you explain what you mean?
- PaulDavisThe1st 5y agoOf course not! It's jibberish to the same extent that "space is time rotated through 90 degrees" is. Fun, but jibberish.
- drdeca 5y agoI don’t think exactly the same extent. In Minkowski space, if you pick an orthonormal basis, one of the basis elements will be timelike and the other 3 will be spacelike, and the timelike one will be orthogonal to any linear combination of the spacelike ones, which, I think almost justifies saying that they are “90 degrees from one-another”. I agree that saying it is “space rotated 90 degrees” is, not really right. There’s no rotation that would rotate all the special directions to a time direction, that wouldn’t make sense. 1 ≠ 3 and all that. But there’s a bit of something kind of right in it.
- rbanffy 5y agoHNers take jokes far too seriously.