Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun Plural form of
hyperplane .
Etymologies
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Examples

In particular, descriptions of the state of systems in different foliations of spacetime into parallel spacelike hyperplanes, which correspond to different inertial reference frames, are to be related to each other by the Lorentz transformations.

That is, in the EPR/B experiment a collapse occurs along all the hyperplanes of simultaneity that intersect the spacetime region of the Lmeasurement.

Similarly, a collapse occurs along all the hyperplanes of simultaneity that intersect the distant (spacelike separated) spacetime region of the Rmeasurement.

In their theory, state collapse occurs along an infinite number of spacelike hyperplanes that intersect the spacetime region of the measurements.

How many equal threedimensional spaces would a hypersphere be cut into by hyperplanes at right angles to each other?

The spacetime structure that is implied by special relativity is thus an affine space, like Newtonian spacetime, but it is not objectively divided into hypersurfaces of absolute simultaneity; the sets of simultaneous events for any inertial frame are the hyperplanes orthogonal to the trajectories that determine that frame.

"I think I followed projecting the ndimensional hyperplanes into n1 dimensional spaces, but I got a little tangled up when they started to intersect."

"I think I followed projecting the ndimensional hyperplanes into n1 dimensional spaces, but I got a little tangled up when they started to intersect."

"I think I followed projecting the ndimensional hyperplanes into n1 dimensional spaces, but I got a little tangled up when they started to intersect."

"I think I followed projecting the ndimensional hyperplanes into n1 dimensional spaces, but I got a little tangled up when they started to intersect."
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