Pith Number

pith:3W4RHK33

pith:2026:3W4RHK33COP6D2FY3UFYLZT5TH

not attested not anchored not stored refs resolved

Constitutive Origin of Hamiltonian Degeneracy in Nonlinear Electrodynamics with Spontaneous Lorentz Symmetry Breaking

C. A. Escobar, Rom\'an Linares

The constitutive relations force every nontrivial magnetic stationary point to lie where the linearized map from variations in H to variations in B at fixed D loses rank.

arxiv:2605.14172 v1 · 2026-05-13 · hep-th

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\pithnumber{3W4RHK33COP6D2FY3UFYLZT5TH}

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4 Citations open

5 Replications open

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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 show that it follows from the constitutive origin of the theory... every nontrivial magnetic stationary point lies on a surface where the linearized map δHvec ↦ δBvec, at fixed Dvec, loses rank.

C2weakest assumption

That the effective Hamiltonian for magnetic vacua is precisely the complementary energy associated with the magnetic response at fixed D, and that the first-order constitutive relation enters the Dirac constraint structure without additional assumptions.

C3one line summary

The degeneracy of the constraint structure at nontrivial magnetic vacua follows from the constitutive origin of the effective Hamiltonian as complementary energy at fixed D.

References

21 extracted · 21 resolved · 9 Pith anchors

[1] Spontaneous breaking of Lorentz symmetry in string theory, 1989

[2] CPT violation and the standard model, 1997

[3] Lorentz-violating extension of the standard model, 1998

[4] Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity 2005 · arXiv:hep-th/0412320

[5] Constraints and Stability in Vector Theories with Spontaneous Lorentz Violation 2008 · arXiv:0802.4071

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:11.342904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddb913ab7b139fe1e8b8dd0b85e67d99eba57fb96a2f20ac68e7aafc3d26d8bb

Aliases

arxiv: 2605.14172 · arxiv_version: 2605.14172v1 · doi: 10.48550/arxiv.2605.14172 · pith_short_12: 3W4RHK33COP6 · pith_short_16: 3W4RHK33COP6D2FY · pith_short_8: 3W4RHK33

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3W4RHK33COP6D2FY3UFYLZT5TH \
  | 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: ddb913ab7b139fe1e8b8dd0b85e67d99eba57fb96a2f20ac68e7aafc3d26d8bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01fae257c383699f8c7af00ce3ae0e9d10cc843a6df919b3a0a0c5737e7f1159",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-13T22:51:12Z",
    "title_canon_sha256": "33686018e1f9ea74e2dbb1b2b812ae9dcb533e8ee1f31145e3120d8cf276ec7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14172",
    "kind": "arxiv",
    "version": 1
  }
}