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These coordinates, now called Boozer coordinates, which revolutionized the stellarator program, are also applicable to tokamaks. Here expressions for Faraday's Law, the safety factor, and the internal inductance are derived. Their constraints should be useful in the design of tokamak power plants and for the thoughtful allocation of resources to minimize the time and the cost to the achievement of pra","authors_text":"Allen H Boozer","cross_cats":[],"headline":"Boozer coordinates yield exact expressions for Faraday's law and related quantities that constrain magnetic field evolution in tokamak power plants.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2025-07-07T20:17:20Z","title":"Constraints on the magnetic field evolution in tokamak power plants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.05456","kind":"arxiv","version":8},"verdict":{"created_at":"2026-05-19T05:27:38.991034Z","id":"a00abe65-5aab-4974-82b9-63e50f052512","model_set":{"reader":"grok-4.3"},"one_line_summary":"Boozer coordinates applied to tokamaks yield constraints on magnetic field evolution that limit steady-state operation and highlight requirements for current control to avoid disruptions.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Boozer coordinates yield exact expressions for Faraday's law and related quantities that constrain magnetic field evolution in tokamak power plants.","strongest_claim":"Expressions for Faraday's Law, the safety factor, and the internal inductance derived in Boozer coordinates provide constraints useful in the design of tokamak power plants and explain why disruptions are common, why current-profile control may be required especially during shutdowns, and why only pulsed tokamaks seem possible.","weakest_assumption":"That the Boozer coordinate system, established for stellarator equilibria, directly yields simple exact expressions for Faraday's Law and related quantities in tokamak power-plant-relevant conditions without additional modeling assumptions that break under realistic plasma evolution."}},"verdict_id":"a00abe65-5aab-4974-82b9-63e50f052512"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:318997e86377867db36647aa71a6240b5ce7842c2ac5e7753db8b681dc1afde3","target":"record","created_at":"2026-06-26T00:15:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b12fc6b1c867c6ab66a92d46c9910c40e75ce487b5b173d7875879fb6f4e17ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2025-07-07T20:17:20Z","title_canon_sha256":"a2dbae92ffed8e978fa98921fe8c92581b8936e0e7d830b4b389901848ddebef"},"schema_version":"1.0","source":{"id":"2507.05456","kind":"arxiv","version":8}},"canonical_sha256":"98842e843d69560281429d0cbfab8d43a74c95561b251d536acd3ed0e4b76092","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98842e843d69560281429d0cbfab8d43a74c95561b251d536acd3ed0e4b76092","first_computed_at":"2026-06-26T00:15:22.273771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-26T00:15:22.273771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3rYaLqu2rmWhLWt+dsco900vGTBfkwPrLUyPTaahH4JTfwLLr26OD54+NNxSs13jsBEBtaxkSo+SPHg6UVhzDA==","signature_status":"signed_v1","signed_at":"2026-06-26T00:15:22.274202Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.05456","source_kind":"arxiv","source_version":8}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:318997e86377867db36647aa71a6240b5ce7842c2ac5e7753db8b681dc1afde3","sha256:698c405220b6480fd84f19a741f02b7d1e0e89af11bc974c49c7e26df308d0bf"],"state_sha256":"ffdaba2d44400b1c0cb02e42a8bea5af44678a873ba5621c13433884be07d5e9"}