{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:f54dfdc2-da4c-4991-a744-ac989d49e9ea",
  "labels": {
    "zh-CN": "正洛伦兹变换",
    "en": "proper Lorentz transformation"
  },
  "alternative_labels": [
    {
      "lang": "en",
      "value": "proper Lorentz transformations"
    }
  ],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "a140440f66007cfa97dcc102898daac7b26bc5d85d9924f77bb4d84071bfb5e9",
  "occurrences": [
    {
      "concept_id": "urn:uuid:f54dfdc2-da4c-4991-a744-ac989d49e9ea",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-09/01-minkowski-space-time",
      "anchor": "first-d0b60aabb42cb69cee1d-zh",
      "chapter": "9",
      "section": "9.1",
      "offset": 6167,
      "range": [
        11706,
        11962
      ],
      "source_revision": "397bba5c660b059cafdc5c78850167beea4d08f1ed95cfd47a34c8dfae3851a1",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "正洛伦兹变换(proper Lorentz transformation)",
      "context": {
        "range": [
          11254,
          12002
        ],
        "quote": "其中 ${ \\sf G } = [ g _ { \\mu \\nu } ]$ 和 $\\mathsf { L } = [ L _ { \\nu } ^ { \\mu ^ { \\prime } } ]$。取行列式，得到 $\\det \\mathsf { L } = \\pm 1$。还可以进一步将洛伦兹变换细分为具有 $L _ { 4 } ^ { 4 ^ { \\prime } } \\geq 1$ 的变换和具有 $L _ { 4 } ^ { 4 ^ { \\prime } } \\leq - 1$ 的变换（见<a href=\"#problem-9-2\" class=\"cross-reference\" id=\"xref-01-minkowski-space-time-9\" data-reference=\"problem-9-2\">习题 9.2</a>）。同时满足 $\\det \\mathsf { L } = + 1$ 和 $L _ { 4 } ^ { 4 ^ { \\prime } } \\geq 1$ 的洛伦兹变换称为 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:f54dfdc2-da4c-4991-a744-ac989d49e9ea\" data-concept-route=\"/concept-identities#concept-f54dfdc2-da4c-4991-a744-ac989d49e9ea\" id=\"first-d0b60aabb42cb69cee1d-zh\">正洛伦兹变换(proper Lorentz transformation)</u>。它们类似于欧几里得空间中绕原点的旋转。所有其他洛伦兹变换称为非正常洛伦兹变换。",
        "quote_sha256": "d7f15648e9b7b6640919c518799799b5cd74e5c877c01df7cf1ff2a135bdbcb1",
        "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-eab768c5be1b68b6c8f503f5"
    },
    {
      "concept_id": "urn:uuid:f54dfdc2-da4c-4991-a744-ac989d49e9ea",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "en",
      "route": "en/chapter-09/01-minkowski-space-time",
      "anchor": "first-0a4b07842dc5fbeacc2c-en",
      "chapter": "9",
      "section": "9.1",
      "offset": 9013,
      "range": [
        14079,
        14328
      ],
      "source_revision": "b647c6082f1b2c5bb003a60d7e95662ce3fd830c27aa58cf41ff201428331770",
      "source_category": "original_transcription",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "proper Lorentz transformations",
      "context": {
        "range": [
          13477,
          14453
        ],
        "quote": "where ${ \\sf G } = [ g _ { \\mu \\nu } ]$ and $\\mathsf { L } = [ L _ { \\nu } ^ { \\mu ^ { \\prime } } ]$ . Taking determinants, we have $\\det \\mathsf { L } = \\pm 1$ . It is further possible to subdivide Lorentz transformations into those having $L _ { 4 } ^ { 4 ^ { \\prime } } \\geq 1$ and those having $L _ { 4 } ^ { 4 ^ { \\prime } } \\leq - 1$ (see <a href=\"#problem-9-2\" class=\"cross-reference\" id=\"xref-01-minkowski-space-time-11\" data-reference=\"problem-9-2\">Problem 9.2</a>). Those Lorentz tansformations for which both $\\det \\mathsf { L } = + 1$ and $L _ { 4 } ^ { 4 ^ { \\prime } } \\geq 1$ are called <u class=\"concept-term\" data-concept-identity=\"urn:uuid:f54dfdc2-da4c-4991-a744-ac989d49e9ea\" data-concept-route=\"/concept-identities#concept-f54dfdc2-da4c-4991-a744-ac989d49e9ea\" id=\"first-0a4b07842dc5fbeacc2c-en\">proper Lorentz transformations</u>. They are analogous to rotations about the origin in Euclidean space. All other Lorentz transformations are called improper.",
        "quote_sha256": "75b7261706bf675b3b3b4287bb7a2a7102080d2acf4835b3922229f713dc33b5",
        "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-3626fd2e8461989f24bc9c66"
    }
  ],
  "registered_positions": [
    {
      "route": "en/chapter-09/01-minkowski-space-time",
      "lang": "en",
      "section": "9.1",
      "signal": "term-mark",
      "label": "proper Lorentz transformations",
      "english": "proper Lorentz transformations",
      "offset": 8249
    },
    {
      "route": "zh/chapter-09/01-minkowski-space-time",
      "lang": "zh-CN",
      "section": "9.1",
      "signal": "term-mark",
      "label": "正洛伦兹变换",
      "english": "proper Lorentz transformation",
      "offset": 5508
    }
  ],
  "statements": [],
  "resolved_references": [
    {
      "raw": "href=\"#problem-9-2\"",
      "href": "#problem-9-2",
      "range": [
        11502,
        11521
      ],
      "relation": "references",
      "target_route": "zh/chapter-09/01-minkowski-space-time",
      "target_anchor": "problem-9-2",
      "resolved": true,
      "reason": null,
      "source_revision": "397bba5c660b059cafdc5c78850167beea4d08f1ed95cfd47a34c8dfae3851a1",
      "source_route": "zh/chapter-09/01-minkowski-space-time",
      "occurrence_id": "occ-eab768c5be1b68b6c8f503f5"
    },
    {
      "raw": "href=\"#problem-9-2\"",
      "href": "#problem-9-2",
      "range": [
        13825,
        13844
      ],
      "relation": "references",
      "target_route": "en/chapter-09/01-minkowski-space-time",
      "target_anchor": "problem-9-2",
      "resolved": true,
      "reason": null,
      "source_revision": "b647c6082f1b2c5bb003a60d7e95662ce3fd830c27aa58cf41ff201428331770",
      "source_route": "en/chapter-09/01-minkowski-space-time",
      "occurrence_id": "occ-3626fd2e8461989f24bc9c66"
    }
  ],
  "reading_order": [
    "occ-eab768c5be1b68b6c8f503f5",
    "occ-3626fd2e8461989f24bc9c66"
  ],
  "recorded_dependencies": [],
  "reading_paths": [],
  "coverage": {
    "registered_positions": 2,
    "located_occurrences": 2,
    "whole_book_search_complete": false,
    "registered_positions_truncated": false,
    "independent_human_review_implied": false
  },
  "unresolved": [],
  "base_revision": "d48ac0d162a7f4c7fe64728b0561f331524a27cdf92b287ef250cdda4018be1f",
  "optional_enrichments": []
}