Joined: June 2006
|The fourth complex dimension, time, contains the square-root of negative one.|
Actually, this is a misinterpretation of the concept of space-time. There are different ways of moving through it:
time-like: t^2 >> x^2+y^2+z^2 represent objects moving within same light cone.
space-like: t^2 << x^2+y^2+z^2 represent objects in different light cones (causally separated)
light-like: t^2 = x^2+y^2+z^2 -> L=0 represents the space-time for objects at the speed of light (gravity, photons, etc)
The GHZ game can be resolved by noting that in order to compare the states through causally separated entangled pairs (or trios) information must be exchanged which requires GR causality.
|In 1905 Einstein came along and started messing up this view. I suggest the implications of what was started 100 years ago are just now beginning to fully manifest themselves.|
“Examples of this sort [Maxwell's magnetic flux experiment], together with the unsuccessful attempts to discover the motion of the earth relatively to the ‘light medium’, suggest the phenomena of electrodynamics as well as of mechanics possess no properties corresponding to the idea of absolute rest.” -Einstein
|Heck, they can be thought of as the same photon! EPR paradox, superposition, etc all melt away once you combine General Relativity with Quantum Theory. However, particles lose their identity in the process.|
In the classical sense they can't, only probabilistically can you tie them together.