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If the point charge is circulating with an angular frequency $\\omega_0$ on the $(x,y)$-plane at $z=0$ with boundary conditions, $x \\sim x+2 \\pi R$ and $y \\sim y+2\\pi R$, it emits radiation into the $z$-direction of $z$ in $ [-\\infty, +\\infty]$.\n  We find that the radiation shows discontinuities as a function of $\\omega_0 R$ at which a new propagating mode with a different Fourier component appears. For a small radius limit $\\omega_0 R \\ll 1$, all the Fourier modes except the zer"},"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":"1712.06231","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-18T02:47:10Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"0a8316dbb6dd6a0ed0973f2dd00e9694547dcfa3c5ab97ce1570a4c36ddc39eb","abstract_canon_sha256":"3acba264d373cc2e2f151c5bde1ed22d1b9e0aaec858db3e865353be9a8d0db8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:28.423535Z","signature_b64":"1Yg5xHS/RTUit5uI0EvZ9qHYqWooLpyXUJ2X9MCkq07Y/mt/Kdkyc6j6XLNYe0zAkzLyxWOF3cURoSmWP4lWAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ad9ac81e4449cb05713db746d3d0428f8388c5cf1ee207e0db16873994759c4","last_reissued_at":"2026-05-18T00:23:28.422967Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:28.422967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Electromagnetic Radiation in a Semi-Compact Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Noriaki Kitazawa, Satoshi Iso, Sumito Yokoo","submitted_at":"2017-12-18T02:47:10Z","abstract_excerpt":"In this note, we investigate the electromagnetic radiation emitted from a revolving point charge in a compact space. 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