Post #1647554

(With apologies to Metallica. Except for Lars.) I can’t remember any field Can’t tell if this is real or not Deep in the algebra I dwell Nothing is real but scalars now The basis vectors start to spin Orthonormal and orthogonal I wake up to a wedge and dot Geometric product’s all I’ve got Multi-vector is my name A grade-$k$ blade is all I claim I cannot commute with you Anti-commute is what we do Fed through the Cayley-Dickson map Doubling the dimension trap Associative property remains But I’ve lost the commutative chains Grading, partitioning me All that I see Absolute grade zero I cannot live I cannot die Trapped in the subspace Blades are my holding cell Clifford has taken my norm Left me with a signature $(p, q, r)$ is all I am Degenerate or Minkowski? Tied to a machine that computes My $v^2$ is just a $Q$ The metric’s gone and left me cold A bivector truth I must behold Grading, partitioning me All that I see Absolute grade zero I cannot live I cannot die Trapped in the subspace Blades are my holding cell Hold my breath as I wish for depth Oh please math, wake me Not a rotor, not a motor Oh please math, wake me Clifford! Taken my wedge! Taken my dot! Taken my product! Taken my grade! Taken my blade! Taken my soul! Left me with a vacuum hole! Clifford! Taken my norm! Taken my scale! Taken my signature! Taken my $p$! Taken my $q$! Taken my soul! Left me with a vacuum hole!