Pith Number

pith:PCJYS4YJ

pith:2026:PCJYS4YJBFMNTSPHUEAKMCF3ES

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Conservation laws in classical Poisson field theories

M. J. Neves, O. Abla

Applying the Lie-Poisson electrodynamics action principle produces conservation laws for scalar and Dirac fields in κ-Minkowski spacetime, including a κ-only energy shift for the non-relativistic Dirac case.

arxiv:2604.09500 v2 · 2026-04-10 · hep-th

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Record completeness

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4 Citations 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

In the non-relativistic limit for the κ-Minkowski Dirac equation, the energy shift in the first excited state depends exclusively on the κ-parameter, and the non-relativistic limit introduces an orbital Zeeman coupling term for the fermionic fields.

C2weakest assumption

The recently developed action principle for Lie-Poisson electrodynamics can be directly applied to derive conservation laws for the scalar and Dirac fields without introducing inconsistencies in the κ-Minkowski framework.

C3one line summary

Conservation laws including energy-momentum tensor and charge are derived for Lie-Poisson field theories; the non-relativistic κ-Minkowski Dirac equation introduces an orbital Zeeman term whose energy shift depends only on the κ parameter.

Receipt and verification

First computed	2026-07-20T00:18:20.513483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78938973090958d9c9e7a100a608bb24a039d23bfe3caca4922356665625bfa5

Aliases

arxiv: 2604.09500 · arxiv_version: 2604.09500v2 · doi: 10.48550/arxiv.2604.09500 · pith_short_12: PCJYS4YJBFMN · pith_short_16: PCJYS4YJBFMNTSPH · pith_short_8: PCJYS4YJ

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PCJYS4YJBFMNTSPHUEAKMCF3ES \
  | 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: 78938973090958d9c9e7a100a608bb24a039d23bfe3caca4922356665625bfa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "477f081811551ef2b1aa84a4e82ce2484c4b4226a15c928c0fc44a3148cb9598",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-10T17:13:22Z",
    "title_canon_sha256": "acb79d41c925f4aa958a78834d16673acb9d344ffd12c6ae9c53f5c9e6e24b5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.09500",
    "kind": "arxiv",
    "version": 2
  }
}