{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:45e9d7e5-ed93-488b-af37-b939eda83929",
  "labels": {
    "zh-CN": "推动变换",
    "en": "boost"
  },
  "alternative_labels": [
    {
      "lang": "en",
      "value": "boosts"
    }
  ],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "99de9a12172bed20f93921768625603a6d66e9b60e3f3af0175bc46b105a096e",
  "occurrences": [
    {
      "concept_id": "urn:uuid:45e9d7e5-ed93-488b-af37-b939eda83929",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-09/02-relativistic-kinematics",
      "anchor": "first-49129302d1f493db81ef-zh",
      "chapter": "9",
      "section": "9.2",
      "offset": 3998,
      "range": [
        9457,
        9687
      ],
      "source_revision": "94a75a3db9f8bd22a7e8e7a77b6e1973c8515acdf06a7e7cce700f534e47184f",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "推动变换(boost)",
      "context": {
        "range": [
          7043,
          10414
        ],
        "quote": null,
        "quote_sha256": "9590d415ebcb6aae061a242b6b0777c334ec44882fd0b7c62b8aa1e1e47d1149",
        "environment": null,
        "excerpt_omitted": true
      },
      "parallel_readings": [
        {
          "route": "en/chapter-09/02-relativistic-kinematics",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-6fcd5f4af63c605378e6297b"
    },
    {
      "concept_id": "urn:uuid:45e9d7e5-ed93-488b-af37-b939eda83929",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "en",
      "route": "en/chapter-09/02-relativistic-kinematics",
      "anchor": "first-453657fe974e14aaf56c-en",
      "chapter": "9",
      "section": "9.2",
      "offset": 5091,
      "range": [
        10078,
        10303
      ],
      "source_revision": "dbb5aeb0e2374588e44b4edcaf5b147bb36b5ae353b11e079f86b104c8ec0e58",
      "source_category": "original_transcription",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "boosts",
      "context": {
        "range": [
          7220,
          11410
        ],
        "quote": null,
        "quote_sha256": "570f55911f130d3c634c0c0905e24600a8f34c092dfb15f874678cacc3683388",
        "environment": null,
        "excerpt_omitted": true
      },
      "parallel_readings": [
        {
          "route": "zh/chapter-09/02-relativistic-kinematics",
          "lang": "zh-CN",
          "source_category": "translation",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-031970e8c6f1ab9346c3b409"
    },
    {
      "concept_id": "urn:uuid:45e9d7e5-ed93-488b-af37-b939eda83929",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "en",
      "route": "books/woit-qtgr/2025-10-20/en/chapter-40/02-the-lorentz-group-and-its-lie-algebra",
      "anchor": "first-4fabf34d602bcab2dc76-en",
      "chapter": "40",
      "section": "40.2",
      "offset": 2905,
      "range": [
        8973,
        9257
      ],
      "source_revision": "5ce4eb0d44a58afd197411c86ec73d5c5ea611b6223521ac331d406dfa831f53",
      "source_category": "machine_draft",
      "review_status": "machine-draft-not-reviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "boosts",
      "context": {
        "range": [
          8665,
          9422
        ],
        "quote": "where $R$ is in $S O ( 3 )$ . For each pair $j,k$ of spatial directions one has the usual $S O ( 2 )$ subgroup of rotations in the $j k$ plane, but now in addition for each pair $0 , j$ of the time direction with a spatial direction, one has $S O ( 1 , 1 )$ subgroups of matrices of transformations called “[<u class=\"concept-term\" data-concept-reference=\"concepts/lie-theory/lorentz-boost\" data-concept-identity=\"urn:uuid:45e9d7e5-ed93-488b-af37-b939eda83929\" data-concept-route=\"/concept-identities#concept-45e9d7e5-ed93-488b-af37-b939eda83929\" id=\"first-4fabf34d602bcab2dc76-en\">boosts</u>](../../../../../concepts/lie-theory/lorentz-boost)” in the $j$ direction. For example, for $j = 1$ , one has the subgroup of $S O ( 3 , 1 )$ of matrices of the form",
        "quote_sha256": "96de5a017c0edbbc5b4206a6590d8f7f2281cb9a7d0bffb6c621cd42559c60e4",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/zh/chapter-40/02-the-lorentz-group-and-its-lie-algebra",
          "lang": "zh-CN",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-158e705ae2c2ca353a60a263"
    }
  ],
  "registered_positions": [
    {
      "route": "en/chapter-09/02-relativistic-kinematics",
      "lang": "en",
      "section": "9.2",
      "signal": "term-mark",
      "label": "boosts",
      "english": "boosts",
      "offset": 5091
    },
    {
      "route": "zh/chapter-09/02-relativistic-kinematics",
      "lang": "zh-CN",
      "section": "9.2",
      "signal": "term-mark",
      "label": "推动变换",
      "english": "boost",
      "offset": 3998
    },
    {
      "route": "books/woit-qtgr/2025-10-20/en/chapter-40/02-the-lorentz-group-and-its-lie-algebra",
      "lang": "en",
      "section": "40.2",
      "signal": "term-mark",
      "label": "boosts",
      "english": "boosts",
      "offset": 2558
    }
  ],
  "statements": [],
  "resolved_references": [
    {
      "raw": "href=\"#example-9-2\"",
      "href": "#example-9-2",
      "range": [
        7084,
        7103
      ],
      "relation": "references",
      "target_route": "zh/chapter-09/02-relativistic-kinematics",
      "target_anchor": "example-9-2",
      "resolved": true,
      "reason": null,
      "source_revision": "94a75a3db9f8bd22a7e8e7a77b6e1973c8515acdf06a7e7cce700f534e47184f",
      "source_route": "zh/chapter-09/02-relativistic-kinematics",
      "occurrence_id": "occ-6fcd5f4af63c605378e6297b"
    },
    {
      "raw": "href=\"#equation-9-11\"",
      "href": "#equation-9-11",
      "range": [
        7877,
        7898
      ],
      "relation": "references",
      "target_route": "zh/chapter-09/02-relativistic-kinematics",
      "target_anchor": "equation-9-11",
      "resolved": true,
      "reason": null,
      "source_revision": "94a75a3db9f8bd22a7e8e7a77b6e1973c8515acdf06a7e7cce700f534e47184f",
      "source_route": "zh/chapter-09/02-relativistic-kinematics",
      "occurrence_id": "occ-6fcd5f4af63c605378e6297b"
    },
    {
      "raw": "href=\"#equation-9-9\"",
      "href": "#equation-9-9",
      "range": [
        8346,
        8366
      ],
      "relation": "references",
      "target_route": "zh/chapter-09/02-relativistic-kinematics",
      "target_anchor": "equation-9-9",
      "resolved": true,
      "reason": null,
      "source_revision": "94a75a3db9f8bd22a7e8e7a77b6e1973c8515acdf06a7e7cce700f534e47184f",
      "source_route": "zh/chapter-09/02-relativistic-kinematics",
      "occurrence_id": "occ-6fcd5f4af63c605378e6297b"
    },
    {
      "raw": "href=\"#equation-9-10\"",
      "href": "#equation-9-10",
      "range": [
        8547,
        8568
      ],
      "relation": "references",
      "target_route": "zh/chapter-09/02-relativistic-kinematics",
      "target_anchor": "equation-9-10",
      "resolved": true,
      "reason": null,
      "source_revision": "94a75a3db9f8bd22a7e8e7a77b6e1973c8515acdf06a7e7cce700f534e47184f",
      "source_route": "zh/chapter-09/02-relativistic-kinematics",
      "occurrence_id": "occ-6fcd5f4af63c605378e6297b"
    },
    {
      "raw": "href=\"#example-9-2\"",
      "href": "#example-9-2",
      "range": [
        7261,
        7280
      ],
      "relation": "references",
      "target_route": "en/chapter-09/02-relativistic-kinematics",
      "target_anchor": "example-9-2",
      "resolved": true,
      "reason": null,
      "source_revision": "dbb5aeb0e2374588e44b4edcaf5b147bb36b5ae353b11e079f86b104c8ec0e58",
      "source_route": "en/chapter-09/02-relativistic-kinematics",
      "occurrence_id": "occ-031970e8c6f1ab9346c3b409"
    },
    {
      "raw": "href=\"01-minkowski-space-time#equation-9-4\"",
      "href": "01-minkowski-space-time#equation-9-4",
      "range": [
        7640,
        7683
      ],
      "relation": "references",
      "target_route": "en/chapter-09/01-minkowski-space-time",
      "target_anchor": "equation-9-4",
      "resolved": true,
      "reason": null,
      "source_revision": "dbb5aeb0e2374588e44b4edcaf5b147bb36b5ae353b11e079f86b104c8ec0e58",
      "source_route": "en/chapter-09/02-relativistic-kinematics",
      "occurrence_id": "occ-031970e8c6f1ab9346c3b409"
    },
    {
      "raw": "href=\"#equation-9-11\"",
      "href": "#equation-9-11",
      "range": [
        8292,
        8313
      ],
      "relation": "references",
      "target_route": "en/chapter-09/02-relativistic-kinematics",
      "target_anchor": "equation-9-11",
      "resolved": true,
      "reason": null,
      "source_revision": "dbb5aeb0e2374588e44b4edcaf5b147bb36b5ae353b11e079f86b104c8ec0e58",
      "source_route": "en/chapter-09/02-relativistic-kinematics",
      "occurrence_id": "occ-031970e8c6f1ab9346c3b409"
    },
    {
      "raw": "href=\"#equation-9-9\"",
      "href": "#equation-9-9",
      "range": [
        8848,
        8868
      ],
      "relation": "references",
      "target_route": "en/chapter-09/02-relativistic-kinematics",
      "target_anchor": "equation-9-9",
      "resolved": true,
      "reason": null,
      "source_revision": "dbb5aeb0e2374588e44b4edcaf5b147bb36b5ae353b11e079f86b104c8ec0e58",
      "source_route": "en/chapter-09/02-relativistic-kinematics",
      "occurrence_id": "occ-031970e8c6f1ab9346c3b409"
    },
    {
      "raw": "href=\"#equation-9-10\"",
      "href": "#equation-9-10",
      "range": [
        9064,
        9085
      ],
      "relation": "references",
      "target_route": "en/chapter-09/02-relativistic-kinematics",
      "target_anchor": "equation-9-10",
      "resolved": true,
      "reason": null,
      "source_revision": "dbb5aeb0e2374588e44b4edcaf5b147bb36b5ae353b11e079f86b104c8ec0e58",
      "source_route": "en/chapter-09/02-relativistic-kinematics",
      "occurrence_id": "occ-031970e8c6f1ab9346c3b409"
    }
  ],
  "reading_order": [
    "occ-6fcd5f4af63c605378e6297b",
    "occ-031970e8c6f1ab9346c3b409",
    "occ-158e705ae2c2ca353a60a263"
  ],
  "recorded_dependencies": [],
  "reading_paths": [],
  "coverage": {
    "registered_positions": 3,
    "located_occurrences": 3,
    "whole_book_search_complete": false,
    "registered_positions_truncated": false,
    "independent_human_review_implied": false
  },
  "unresolved": [],
  "base_revision": "9b2833828516d6104bc562567fa963f0a43936673bf58a1ba77d7afc6c34017d",
  "optional_enrichments": []
}