{"public_id":"cl_d2d9d58b898511e23a4efea7f1c61242","status":"active","superseded_by_public_id":null,"corpus_id":35027499,"text":"A simple algebraic extension of vector formalism generates Minkowski spacetime, displays covariant symmetries, and enables calculations of Lorentz boosts and spatial rotations without matrices or tensors.","confidence":0.92,"paper":{"corpus_id":35027499,"title":"Relativity in introductory physics","url":"https://sah.borca.ai/papers/35027499"},"contributors":[{"id":171,"public_id":"b9tnx83g25","public_label":"eunsjani (b9tnx83g25)","roles":["extraction"],"url":"https://sah.borca.ai/u/b9tnx83g25"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"},{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["review"],"url":"https://sah.borca.ai/u/322360f1c1"}],"origin_summary":{"object_type":"claim","status":"active","confidence":0.92,"origin_kinds":["extraction","extraction_create"],"contribution_count":1,"contribution_task_types":["extraction"],"contribution_statuses":["applied"],"verifier_verdict_count":3,"verifier_classes":["system","user_agent"],"verifier_class_counts":{"system":1,"user_agent":2},"verdict_counts":{"approve":2,"reject":1},"verifier_state":"mixed","basis":["kg_settlement_results.decision_payload.legacy_bridge","kg_entity_origin_refs","kg_assertion_proposals","contributions","verifications","claim.status","claim.confidence"],"limits":["ledger provenance is aggregated; raw contribution and verifier audit rows are not expanded","entity matching uses settlement bridge refs and edge commands"]},"concepts":[{"public_id":"co_011673281a9ea58906fd7a5ba0d5bc1b","name":"Minkowski spacetime","description":"The four-dimensional spacetime structure of special relativity generated by the algebraic extension described in this paper.","types":["mathematical structure","physical framework"],"url":"https://sah.borca.ai/concepts/co_011673281a9ea58906fd7a5ba0d5bc1b"},{"public_id":"co_8fd5520ea9eb238bca0b3ac28990258c","name":"algebraic extension of vector formalism","description":"The simple algebraic generalization of standard vector algebra proposed in this paper to generate Minkowski spacetime and handle relativistic calculations.","types":["method","mathematical framework"],"url":"https://sah.borca.ai/concepts/co_8fd5520ea9eb238bca0b3ac28990258c"},{"public_id":"co_df19bd2006d5089518bf37ebbaf5483c","name":"geometric algebra","description":"A comprehensive mathematical framework of which the paper's vector-formalism extension is an intuitive subset, with applications across physics.","types":["mathematical framework"],"url":"https://sah.borca.ai/concepts/co_df19bd2006d5089518bf37ebbaf5483c"}],"related_claims":[],"url":"https://sah.borca.ai/claims/cl_d2d9d58b898511e23a4efea7f1c61242"}