the cross products of orthogonal vectors are nonzero but the scalar products of orthogonal vectors are zeros.
given orthogonal vectors [math]\mathbf{A}[/math] and [math]\mathbf{B}[/math]
[math]\mathbf{A} \times \mathbf{B} \neq 0[/math]
[math]\mathbf{A} \cdot \mathbf{B} = 0[/math]
but if A and B are conjugate vectors as in complex analysis then their scalar products are also nonzeros as confirmed by the postulates of quantum mechanics.
These seem to indicate the existence of orthogonal forces at the infinitesimal domain of spacetime.


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