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Electron degeneracy pressure arises from the Pauli Exclusion Principle, which states that no two electrons can occupy the same quantum state simultaneously. When matter, such as in a white dwarf star, is compressed to extremely high densities, electrons are forced into higher and higher energy levels because there is no more room in the lower energy states. This quantum mechanical rule results in the electrons moving at very high speeds due to the limited available space, even if the temperature is low.
