Pith Number

pith:6EAR2ANE

pith:2026:6EAR2ANESLSTPUJZHDYPNMFXKS

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Coherent States of Non-Null Torus Knots

Gabriel Canadas da Silva, Ion Vasile Vancea

Coherent states for the quantized electromagnetic field are built to match classical non-null torus knot solutions of Maxwell's equations.

arxiv:2605.15420 v1 · 2026-05-14 · quant-ph · hep-th · math-ph · math.MP

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Claims

C1strongest claim

We construct coherent states for the quantized electromagnetic field that correspond to the classical non-null torus knot solutions of Maxwell's equations in vacuum.

C2weakest assumption

The classical non-null torus knot solutions of Maxwell's equations can be directly promoted to coherent state amplitudes via displacement operators derived from the general classical-quantum relation, without additional constraints from the topological or non-null character of the fields.

C3one line summary

Constructs coherent states for quantized EM field matching classical non-null torus knot solutions and computes their field, energy, helicity, and correlation observables in terms of knot parameters (n,m,l,s).

References

35 extracted · 35 resolved · 1 Pith anchors

[1] The quantum theory of opti- cal coherence 1963 · doi:10.1103/physrev.130.2529

[2] Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams 1963 · doi:10.1103/physrevlett.10.277

[3] J. R. Klauder and B. S. Skagerstam,Coherent States: Applications in Physics and Mathematical Physics, World Scientific (1985). DOI: 10.1142/0096 1985 · doi:10.1142/0096

[4] Coherent states in quantum optics: An oriented overview 2019

[5] A topological theory of the electromagnetic field 1989 · doi:10.1007/bf00418159

Formal links

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Receipt and verification

First computed	2026-05-20T00:00:57.656998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1011d01a492e537d13938f0f6b0b754bf35e759278c3e4046a10887b3987ed8

Aliases

arxiv: 2605.15420 · arxiv_version: 2605.15420v1 · doi: 10.48550/arxiv.2605.15420 · pith_short_12: 6EAR2ANESLST · pith_short_16: 6EAR2ANESLSTPUJZ · pith_short_8: 6EAR2ANE

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6EAR2ANESLSTPUJZHDYPNMFXKS \
  | 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: f1011d01a492e537d13938f0f6b0b754bf35e759278c3e4046a10887b3987ed8

Canonical record JSON

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    "abstract_canon_sha256": "a0a5c2dbb91fe8e3c9a4b03e31ca690523b39224f7c35bd96901f49a1139fc64",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-14T21:06:56Z",
    "title_canon_sha256": "c1f43352f4143edfed44fe8a86239b368d1aa8122d0b6c554d55728581829cec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15420",
    "kind": "arxiv",
    "version": 1
  }
}