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Spatial Orientation

The following quantities are defined from a particle’s dynamic quarks. They establish an orientation in quark space and are also used to describe displacements in ordinary space.

Magnetic Polarity

Redness is illustrated by this icon for visual sensations that are reddish or greenish.

Let particle P be characterized by N^{ \mathsf{M}} and N^{\mathsf{A}} the coefficients of its muonic seeds. These quantities are used to define another number \delta _{\widehat{m}} called the magnetic polarity of P as

\delta _{\widehat{m}} \equiv \begin{cases} +1    &\mathsf{\text{if}}  \; \;  N^{\, \mathsf{M}} > N^{\, \mathsf{A}}    \\  \;  \; 0   &\mathsf{\text{if}}\; \;N^{\, \mathsf{M}}   =   N^{\, \mathsf{A}}   \\   -1   &\mathsf{\text{if}}\; \;N^{\, \mathsf{M}} < N^{\, \mathsf{A}} \end{cases}

If \delta_{\widehat{m}}=+1 then northern seeds are more numerous than southern seeds and we say that P is oriented to the north. If P is part of a magnet, we might even call it a north pole. If southern seeds predominate then we say that P is directed to the south, or perhaps aligned in a southerly direction. And if \delta_{\widehat{m}}=0 then we say that P is not magnetically polarized. Sensory interpretation: Muonic seeds are objectified from red and green sensations. So \delta_{\widehat{m}} is a binary description of whether a complicated visual sensation is more reddish or greenish. If \delta_{\widehat{m}}=0 then P is not remarkably red or green.

Electric Polarity

Yellowness is illustrated by this icon for visual sensations that are yellowish or bluish.

Let P also be characterized by N^{ \mathsf{E}} and N^{\mathsf{G}} the coefficients of its electronic seeds. These numbers are used to define another quantity \delta_{\widehat{e}} called the electric polarity of P as

\delta_{\widehat{e}} \equiv \begin{cases} +1    &\mathsf{\text{if}}  \; \;  N^{\, \mathsf{G}} > N^{\, \mathsf{E}}    \\  \;  \; 0   &\mathsf{\text{if}}\; \;N^{\, \mathsf{G}}   =   N^{\, \mathsf{E}}   \\   -1   &\mathsf{\text{if}}\; \;N^{\, \mathsf{G}} < N^{\, \mathsf{E}} \end{cases}

If \delta_{\widehat{e}}=+1 then positive seeds are more numerous than negative seeds and we say that P is positive too. If P is part of a battery, we might even call it a positive electrode. If negative seeds predominate then we may say that P is oriented or aligned in a negative direction. If \delta_{\widehat{e}} = 0 then P is not electrically polarized. And, if both of \delta_{\widehat{e}} and \delta_{\widehat{m}} are zero, then we say that P is centered on the electric and magnetic axes. Sensory interpretation: Electronic seeds are objectified from yellow and blue sensations. So \delta_{\widehat{e}} is a binary description of whether a complex visual sensation is more yellowish or bluish. If P in not clearly yellowish or bluish, then \delta_{\widehat{e}}=0. And if both of \delta_{\widehat{m}} and \delta_{\widehat{e}} are zero, then P is a colorless or achromatic sensation.

Helicity

Whiteness is illustrated by this icon for a binary description of grey visual sensations.

Finally, let P be characterized by N^{ \mathsf{U}} and N^{\mathsf{D}} the coefficients of its rotating seeds. These numbers are used to define \delta_{z} as the helicity of P

\delta_{z} \equiv \begin{cases} +1    &\mathsf{\text{if}}  \; \;  N^{\, \mathsf{U}} > N^{\, \mathsf{D}}    \\  \;  \; 0   &\mathsf{\text{if}}\; \;N^{\, \mathsf{U}}   =   N^{\, \mathsf{D}}   \\   -1   &\mathsf{\text{if}}\; \;N^{\, \mathsf{U}} < N^{\, \mathsf{D}} \end{cases}

If \delta_{z} > 0 then we say that P is a spin-up particle. Conversely, if \delta_{z} < 0 then P is called a spin-down particle. And if \delta_{z}=0 then we say that P is not rotating. Sensory interpretation: Rotating quarks are objectified from achromatic visual sensations. So \delta_{z} is a binary description of whether a complicated greyish vision is overall a light grey or a dark grey.

The spatial orientation is used to organize structural relationships, somewhat like this ajat basket from Borneo.
Ajat basket, Penan people. Borneo 20th century, 20 (cm) diameter by 30 (cm) height. Durian spine motif. Photograph by D Dunlop.