The Norm Requires a Clock

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: 
Outside video: 
math
equation: 

norm(q) = q^* q

tags
Math Tag: 
norm
norm
norm
Programming Tag: 
command line quaternions
q_norm
q_add_n