Analysis reveals that gravitational fields cannot create positive energy Dirac particles, indicating conservation of particle number.
Second quantization is applied to the new Dirac field. The issue of negative energy states is considered and it is shown that if negative energy states are discarded, then positive energy states for this particle cannot be created by a gravitational field, and the particle number is conserved. The plausibility and implications of negative energy states are also discussed.
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Robert Zaballa (2024) studied this question.
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