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However, they satisfy the $Z_2$ symmetry for all $n$. The potential may come from the Higgs-dilaton potential in the two-time (2T) physics. The slow-roll scenario is recomputed in the 4-dimension (4D) and Randall-Sundrum II (RSII) frameworks. The tensor-to-scalar ratio in the RSII model is always higher than in the 4D model and is in good agreement with the experimental data of BICEP2 and Planck. Comparing this with Planck data, we estimate $M_"},"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":true},"canonical_record":{"source":{"id":"2603.15172","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-03-16T12:07:47Z","cross_cats_sorted":[],"title_canon_sha256":"c5a3e91f82dcb244d9435113b9d5bf14a76ea398506f3d60d5d82031f0bd89b0","abstract_canon_sha256":"dca45e67e164087d1d7e1052662369b0e640cf14ba12abb865426f669b0a9436"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:04:28.467763Z","signature_b64":"fjTqCYIYANHJAcU2JoLlygUBwMeFvObIrSJ1DgoWlbrwXsMd8MsgyqoYL+vpvQ7g+lFluKzkERdUNpIEd7BFCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7effdb99d17a1c829191c904a4317ea420b280ae4001e05b18a73e2dde10bf80","last_reissued_at":"2026-05-20T00:04:28.466861Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:04:28.466861Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inflation with the standard and Randall-Sundrum model in the Two-time Physics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A scalar potential from two-time physics produces higher tensor-to-scalar ratios in the Randall-Sundrum II model that agree with BICEP2 and Planck data.","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Vo Quoc Phong","submitted_at":"2026-03-16T12:07:47Z","abstract_excerpt":"We propose a scalar inflationary potential as $V(\\phi)=M^4\\phi^{2n-2}(\\phi^{2n}+m^{2n})^{1/n-1}$. 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