Dirac's hole theory and the Pauli principle: clearing up the confusion

Details Dirac's hole theory and the Pauli principle: clearing up the confusion Dirac's hole theory and the Pauli principle: clearing up the confusion

2008-01-27

arxiv.org/abs/0801.4140v5

Adv. Studies Theor. Phys., Vol. 3, 2009, no. 9-12, 323-332

Physics

Quantum Physics

Paper accepted by Advanced Studies in Theoretical Physics. Minor changes in Appendix

Scientific paper

In Dirac's hole theory (HT) the vacuum state is generally believed to be the state of minimum energy due to the assumption that the Pauli Exclusion Principle prevents the decay of positive energy electrons into occupied negative energy states. However recently papers have appeared that claim to show that there exist states with less energy than that of the vacuum[4][5][6]. Here we will consider a simple model of HT consisting of zero mass electrons in 1-1D space-time. It will be shown that for this model there are states with less energy than the HT vacuum state and that the Pauli Principle is obeyed. Therefore the conjecture that the Pauli Principle prevents the existence of states with less energy than the vacuum state is not correct.

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