A Two-Dimensional Proton Model

A one-dimensional spatial model of the proton.

Here is another particle model that illustrates a different kind of two-dimensional space. It is made by combining the displacement $\, dz \,$ with the magnetic polarity $\, \delta _{\hat{m}} \,$. First objectify any variation in $\delta _{\hat{m}}$ as a difference in direction on the magnetic axis. Then characterize a range of locations on the axis using $R$ the orbital radius. This arrangement is two-dimensional because the description is objectified from two independent classes of sensation. To illustrate, we combine a one-dimensional quark model of the proton, as shown in the movie on the right, with a magnetic field.

A two-dimensional model of a proton in a magnetic field.
A two-dimensional model of a proton in a magnetic field.

Let the magnetic field be represented by a collection of dynamic quarks

$\mathscr{F} \leftrightarrow \sf{ 4 \bar{d} + 2m + 2\bar{m} + 2a + 2\bar{a} }$

Such a field is necessary so that multiple baryonic and rotating quarks can be distinguished from each other, thereby satisfying Pauli's exclusion principle. Or for a more physical interpretation, the magnetic field is required to describe phenomena associated with rotating charges. Quarks are divided into four clumps, and a second rod is added to represent the magnetic axis. Polar and magnetic axes are displayed perpendicular to each other as a visual representation of their logical independence. Variations in background brightness are displayed along the polar axis, and differences in redness are shown on the magnetic axis. Quarks are placed in different quadrants as a visual depiction of differences in their phase $\delta _{\theta}$ and magnetic polarity $\delta _{\hat{m}}$. These relationships are shown in the following movie.

A tour around a two-dimensional quark model of the proton in a magnetic field.

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