The Norm Requires a Clock

Posted by doug
summary: 
The norm of spacetime is only about time.
description: 
The input is in yellow. The conjugate of the input is in blue, a 3D spatial reflection. The norm that results from multiplying yellow and blue is in green. Nailed to the origin, no ruler is needed, only a watch to record how long into the future is any spacetime norm.
command: 
q_graph -box 6 -loop 0 -dir vp -out norm -command 'q_add_n -2 -3 1 2 .004 .003 -.0005 -.003 1000' -color yellow -command 'q_add_n -2 -3 1 2 .004 .003 -.0005 -.003 1000 | q_conj' -color blue -command 'q_add_n -2 -3 1 2 .004 .003 -.0005 -.003 1000 | q_norm' -color green
youtube embed: 
equation: 

norm(q) = q^* q



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