A Two-Dimensional Space
A two-dimensional spatial model of the electron.
A two-dimensional spatial model of the electron.

We can extend the one-dimensional model of an electron to make an example of a two-dimensional space. Just sort the electron's quarks into four clumps as shown in the accompanying diagram and determine the electric polarity $\delta _{\hat{e}}$ of each clump from the coefficients of electronic quarks. Remember that vectors that are scalar multiples of $\hat{e} \equiv (0, 1, 0)$ are collectively called the electric axis, and objectify any difference in $\delta _{\hat{e}}$ as a variation in direction on this electric axis. Characterize a range of locations using the orbital radius $R$. Then combine the electric axis with the polar axis to make a two-dimensional model. This construction is called two-dimensional because the description is objectified from two classes of sensation which may vary independently from each other.

A look around a two-dimensional quark model of the electron.

To illustrate, we add another rod to represent the electric axis as shown in the accompanying movie. The polar and electric axes are displayed perpendicular to each other as a visual representation of their logical independence. The model is two-dimensional because it displays variations in background brightness along the polar axis, and differences in yellowness along the electric axis. Quarks are shown in different quadrants as a visual depiction of how Pauli's exclusion principle is satisfied for baryonic and rotating quarks. Different locations are used to portray differences in the electric polarity $\delta _{\hat{e}}$ and the phase $\delta _{\theta}$.

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