Hypothesis of Spatial Isotropy
//Tatibin,// Paminggir people. Lampung region of Sumatra, Kota Agung district, 19th century, 91 x 39 cm. From the library of Darwin Sjamsudin, Jakarta. Photograph by D Dunlop.
Tatibin, Paminggir people. Lampung region of Sumatra, Kota Agung district, 19th century, 91 x 39 cm. From the library of Darwin Sjamsudin, Jakarta. Photograph by D Dunlop.

The hypothesis of spatial isotropy is a presumption that almost all of the particles in a description have both phase symmetry, and charge symmetry along the magnetic and electric axes. This condition is easily satisfied for protons and electrons. The hypothesis is useful because it implies that even if the phase $\delta _{\theta} \ ,$ the magnetic polarity $\delta _{\hat{m}}$ or the electric polarity $\delta _{\hat{e}}$ get mixed-up and change sign, the overall description of a particle remains unaffected. And if almost all particles share these symmetries, then we can greatly simplify analysis by usually ignoring $\delta _{\theta}$ $\, \delta _{\hat{m}}$ and $\delta _{\hat{e}} \ .$ These quantities determine the spatial orientation. Disregarding them implies that any one direction is just about the same as another. That is why the assumption is called a hypothesis of spatial isotropy.

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Sensory interpretation: The phase can be explained as a representation of black and white perceptions, the magnetic polarity depends on red and green sensations and the electric polarity is defined from blue and yellow perceptions. So exercising this hypothesis, and setting aside further consideration of these sensations, is a way of objectifying a description. We can stop paying attention to if an event looks black, or white, or bright, or dark, or any other color. Moreover interpreting the phase as some time-of-day becomes irrelevant. The assumption is an important way for descriptions to transcend these sensory details and escape from personal variations on the second hypothesis. After we stop using colors to describe sub-atomic events, chromatic terms become semantically liberated. They can be reused for macroscopic particles, and so we have no problem talking about red cars or blue houses.
Right.png Next step: fixing events in space and time.
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