Space-time points have zero dimension and do not vibrate, so real-number coordinates represent them. Strings and quantum loops have one dimension and vibrate. Strings and quantum loops have uncertain positions and motions, by the uncertainty principle. Complex-number matrices can represent string (and quantum-loop) positions and motions. Complex-number matrix operations do not commute {non-commutative geometry}. At large scales, diagonal matrices can approximate complex-number matrices, and diagonal matrices have commutative operations (commutative geometry).
Physical Sciences>Physics>String Theory
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Date Modified: 2022.0224