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The general models give a novel relation that $n_t$, $n_s$ and $n_t/r$ are all proportional to the logarithm of the number of fields $N_f$ when $N_f$ is getting extremely large with the order of magnitude around $\\mathcal{O}(10^{40})$. An upper bound $N_f\\lesssim N_*e^{ZN_*}$ is given by requiring the slow variation parameter small enough whe"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1708.06136","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-08-21T10:05:49Z","cross_cats_sorted":[],"title_canon_sha256":"879e8408e583f306f67d0755942cf1e5772e6bedf516715544fd34d7aa84a71b","abstract_canon_sha256":"e242f3581df772cd95e65ff7a9228b81637b012dc9a0ce2c9d38a6542b2cf27f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:35.904461Z","signature_b64":"56SQhvqJe2gBzYO/jRn7j2Ywb4KTYI5N48CqBsrxd+8liO+Ijwrt8VIrOP1V5oSSzzQUCyb2dxjLpPO9KDd6Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"114938dca9178e5dedb0aa11ae766e6554cd87ce3987150b8127380c0d813352","last_reissued_at":"2026-05-18T00:27:35.903612Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:35.903612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Large Number Limit of Multifield Inflation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Zhong-Kai Guo","submitted_at":"2017-08-21T10:05:49Z","abstract_excerpt":"We compute the tensor and scalar spectral index $n_t$, $n_s$, the tensor-to-scalar ratio $r$, the consistency relation $n_t/r$ in the general monomial multifield slow-roll inflation models with potentials $V \\sim\\sum_i\\lambda_i \\left|\\phi_i\\right|^{p_i}$. 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