Pith Number

pith:PDAD2UIO

pith:2025:PDAD2UIOLHZNZWYTLZLGUDI3ZW

not attested not anchored not stored refs resolved

Teleparallel gravity from the principal bundle viewpoint

Eugenia Boffo, Martin Kr\v{s}\v{s}\'ak, Sebastian Brezina

Teleparallel Equivalent of General Relativity admits a gauge theory formulation on principal bundles with the Poincaré or Lorentz group.

arxiv:2507.23672 v2 · 2025-07-31 · gr-qc · hep-th · math-ph · math.MP

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\usepackage{pith}
\pithnumber{PDAD2UIOLHZNZWYTLZLGUDI3ZW}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We argue in favor of using either the affine bundle with the Poincaré group or, equivalently, the orthonormal frame bundle with the Lorentz group as the structure group.

C2weakest assumption

Following the framework of Trautman—where gauge symmetries are determined using the absolute elements—we set to identify the absolute elements and gauge symmetries of TEGR.

C3one line summary

TEGR is argued to admit a gauge theory formulation on principal bundles with Poincaré or Lorentz structure groups, where the gauge group is the diffeomorphism group if the teleparallel connection is not treated as an absolute element.

References

54 extracted · 54 resolved · 15 Pith anchors

[1] Quigg, Gauge Theories of the Strong, Weak, and Electromagnetic Interactions: Second Edition 2013

[2] T. Eguchi, P. B. Gilkey, and A. J. Hanson, Gravitation, Gauge Theories and Differential Geometry , Phys. Rept. 66 (1980) 213 1980

[3] Trautman, Fiber bundles associated with space-time , Rept 1970

[4] Lubkin, Geometric definition of gauge invariance , Annals Phys 1963

[5] Hermann, Vector Bundles in Mathematical Physics, vol 1970

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:02:52.300919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78c03d510e59f2dcdb135e566a0d1bcd93ba30d8ffa6a21597df3318d6057a30

Aliases

arxiv: 2507.23672 · arxiv_version: 2507.23672v2 · doi: 10.48550/arxiv.2507.23672 · pith_short_12: PDAD2UIOLHZN · pith_short_16: PDAD2UIOLHZNZWYT · pith_short_8: PDAD2UIO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PDAD2UIOLHZNZWYTLZLGUDI3ZW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 78c03d510e59f2dcdb135e566a0d1bcd93ba30d8ffa6a21597df3318d6057a30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f1e037b09b33a56a1c917fda22cc359b871a629ab3a1f14757451b9eb8c2fd",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-31T15:49:32Z",
    "title_canon_sha256": "d32bc1675595f6ec4ba212f17806edc3acab3197a893588650f67e3944f317e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23672",
    "kind": "arxiv",
    "version": 2
  }
}