{'fraction_non_alphanumeric': 0.0231935771632471, 'fraction_numerical': 0.0, 'mean_word_length': 4.783505154639175, '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}}
Homogeneity and Axions

— It has been recently remarked by Hollands and Wald that the holistic (local) aspects of quantum field theory fully explain the fact that the cosmological constant does not have the absurdly large value which is commonly assumed. There remains the quite different problem of why the cosmological constant leads to an absurdly small dark energy density when applying the field-theoretic Casimir effect to the Universe as a whole. In this paper we propose a local theory of the Casimir effect, following work of B.S. Kay, and recent papers with G. Scharf and L. Manzoni. The method uses the Poisson summation formula, which provides a neat identification of the necessary surface renormalization counterterms, first proposed by Symanzik, which must be added to the Hamiltonian density. Application to the dark energy problem uses the " cosmic-box " idea of E. Harrison in order to formulate a generalized ho-mogeneity assumption, which is adequate for some problems of present quantum cosmology. In this framework it is shown that baryons and neutrinos do not explain the numbers, but axions would.