{ "schema_version": 1, "kind": "ConceptView", "producer": "concept-view-1", "concept_id": "urn:uuid:3fafde9b-d338-4ed8-8089-0bfa0ee48b30", "labels": { "zh-CN": "光锥", "en": "light cone" }, "alternative_labels": [], "scope_note": "", "identity_status": "active", "identity_revision": "039b9733bcede189e30e19045533a84d9877b2be5fcb274bfacbf71652b76416", "occurrences": [ { "concept_id": "urn:uuid:3fafde9b-d338-4ed8-8089-0bfa0ee48b30", "book_id": "szekeres", "edition_id": "source-snapshot-bc3404156f6e", "lang": "zh-CN", "route": "zh/chapter-09/01-minkowski-space-time", "anchor": "first-e85b302cea3ef1070173-zh", "chapter": "9", "section": "9.1", "offset": 4508, "range": [ 10047, 10280 ], "source_revision": "397bba5c660b059cafdc5c78850167beea4d08f1ed95cfd47a34c8dfae3851a1", "source_category": "translation", "review_status": "unreviewed", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "光锥(light cone)", "context": { "range": [ 10015, 10310 ], "quote": "我们定义在事件$p = ( x , y , z , t )$处的光锥(light cone) $C _ { p }$为通过光信号与$p$相连的点的集合，", "quote_sha256": "7b3bcdf22ed8de4aa3c724bbd13fe391ddda7222b0dd25c88457c843bdca73c8", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "en/chapter-09/01-minkowski-space-time", "lang": "en", "source_category": "original_transcription", "basis": "registered-book-edition-section-language-context; not-concept-equivalence" } ], "id": "occ-c70d699ccadd411c35a1b265" }, { "concept_id": "urn:uuid:3fafde9b-d338-4ed8-8089-0bfa0ee48b30", "book_id": "szekeres", "edition_id": "source-snapshot-bc3404156f6e", "lang": "en", "route": "en/chapter-09/01-minkowski-space-time", "anchor": "first-e85b302cea3ef1070173-en", "chapter": "9", "section": "9.1", "offset": 6947, "range": [ 12013, 12242 ], "source_revision": "b647c6082f1b2c5bb003a60d7e95662ce3fd830c27aa58cf41ff201428331770", "source_category": "original_transcription", "review_status": "unreviewed", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "light cone", "context": { "range": [ 11999, 12349 ], "quote": "We define the light cone $C _ { p }$ at an event $p = ( x , y , z , t )$ to be the set of points connected to $p$ by light signals,", "quote_sha256": "372eb52115df7a819dbb62a096b66d48baf18412d3952bb4e2af39a53547f631", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "zh/chapter-09/01-minkowski-space-time", "lang": "zh-CN", "source_category": "translation", "basis": "registered-book-edition-section-language-context; not-concept-equivalence" } ], "id": "occ-dbda8f583acd665b918969ac" }, { "concept_id": "urn:uuid:3fafde9b-d338-4ed8-8089-0bfa0ee48b30", "book_id": "woit-qtgr", "edition_id": "2025-10-20", "lang": "zh-CN", "route": "books/woit-qtgr/2025-10-20/zh/chapter-40/01-minkowski-space", "anchor": "first-1f36e4e2df075fdc2203-zh", "chapter": "40", "section": "40.1", "offset": 3846, "range": [ 10804, 11091 ], "source_revision": "2a37013ea3e21a0abc3ec93a5a32dfcb01bccdda472b8ba743698af3b1cd3960", "source_category": "machine_draft", "review_status": "machine-draft-not-reviewed", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "光锥(light cone)", "context": { "range": [ 10022, 11155 ], "quote": "向量 $v\\in M^4$ 满足 $|v|^2=v\\cdot v>0$ 时，称为[类空向量(spacelike vector)](../../../../../concepts/geometry/spacelike-vector)；满足 $|v|^2<0$ 时，称为[类时向量(timelike vector)](../../../../../concepts/geometry/timelike-vector)；满足 $|v|^2=0$ 时，位于[光锥(light cone)](../../../../../concepts/geometry/light-cone)上。略去一个空间维数后，示意图如下：", "quote_sha256": "4310032b933d3a7d51312941549b9e655a2d3ef0c0b67d71c47bd6d436b5913a", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "books/woit-qtgr/2025-10-20/en/chapter-40/01-minkowski-space", "lang": "en", "source_category": "machine_draft", "basis": "registered-book-edition-section-language-context; not-concept-equivalence" } ], "id": "occ-5c8e86666d4878c865951e35" }, { "concept_id": "urn:uuid:3fafde9b-d338-4ed8-8089-0bfa0ee48b30", "book_id": "woit-qtgr", "edition_id": "2025-10-20", "lang": "en", "route": "books/woit-qtgr/2025-10-20/en/chapter-40/01-minkowski-space", "anchor": "first-1f36e4e2df075fdc2203-en", "chapter": "40", "section": "40.1", "offset": 5543, "range": [ 11662, 11945 ], "source_revision": "1dc239989b9eb2d24bb869dc7c52239df2b176aa11b82fd7d1d2e2cf158dc172", "source_category": "machine_draft", "review_status": "machine-draft-not-reviewed", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "light cone", "context": { "range": [ 10889, 12055 ], "quote": "For $v\\in M^4$, $|v|^2=v\\cdot v>0$ means [spacelike](../../../../../concepts/geometry/spacelike-vector), $|v|^2<0$ means [timelike](../../../../../concepts/geometry/timelike-vector), and $|v|^2=0$ places $v$ on the [light cone](../../../../../concepts/geometry/light-cone). Suppressing one spatial dimension gives the following picture:", "quote_sha256": "9d98f47685f033022f2831a0ebdcdb2ea22c33e02db162f9eabec83435e5e825", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "books/woit-qtgr/2025-10-20/zh/chapter-40/01-minkowski-space", "lang": "zh-CN", "source_category": "machine_draft", "basis": "registered-book-edition-section-language-context; not-concept-equivalence" } ], "id": "occ-6d545e28cc1db775a84dc681" } ], "registered_positions": [ { "route": "en/chapter-09/01-minkowski-space-time", "lang": "en", "section": "9.1", "signal": "term-mark", "label": "light cone", "english": "light cone", "offset": 6374 }, { "route": "zh/chapter-09/01-minkowski-space-time", "lang": "zh-CN", "section": "9.1", "signal": "term-mark", "label": "光锥", "english": "light cone", "offset": 4040 }, { "route": "books/woit-qtgr/2025-10-20/en/chapter-40/01-minkowski-space", "lang": "en", "section": "40.1", "signal": "term-mark", "label": "light cone", "english": "light cone", "offset": 4743 }, { "route": "books/woit-qtgr/2025-10-20/zh/chapter-40/01-minkowski-space", "lang": "zh-CN", "section": "40.1", "signal": "term-mark", "label": "光锥", "english": "light cone", "offset": 3011 } ], "statements": [], "resolved_references": [], "reading_order": [ "occ-c70d699ccadd411c35a1b265", "occ-dbda8f583acd665b918969ac", "occ-5c8e86666d4878c865951e35", "occ-6d545e28cc1db775a84dc681" ], "recorded_dependencies": [], "reading_paths": [], "coverage": { "registered_positions": 4, "located_occurrences": 4, "whole_book_search_complete": false, "registered_positions_truncated": false, "independent_human_review_implied": false }, "unresolved": [], "base_revision": "47fc5a11cf93606a03ff327d76630c278746201469f74a229ba414b38114ab37", "optional_enrichments": [] }