Fields are Cosmological objects which, unlike Verses, do not affect their contents whatsoever. While our universe being contained within the Omniverse may have some affect on it (such as other entities within the Omniverse finding it easier to access our universe), our universe being within the Schemafield has no affect on it, and nothing would be altered if we were not within the Schemafield. In this way, Fields can be thought of as Cosmological sets, though they are far more general, and are not restrained by any laws or conventions.
Fields are most common in Hypercosmology, however they can exist at any level.
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