{'fraction_non_alphanumeric': 0.013071895424836602, 'fraction_numerical': 0.0, 'mean_word_length': 5.491525423728813, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Quantum-geometric field propagation in curved spacetime

The propagation of quantum fields in bundles associated with Poincaré frame bundles over curved spacetime is formulated in terms of path integrals that conform to the strong equivalence principle of general relativity. This propagation is based on quantum connections that arise from the Levi-Civita connection form, and is locally governed by energy density operators that arise from well defined stress--energy tensor operators. The existence of a Poincaré gauge invariant and locally conserved probability current and of action integrals is established as a basis for its physical interpretation. Its relation to the conventional S-matrix perturbation series is studied in the special relativistic regime.