Pith Number

pith:AMCK7XAS

pith:2024:AMCK7XAS2YNQVV2MIS5LHECRKP

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On blocking Dispersion of Matter by Energy conservation

Leonardo De Carlo

Nonlinear terms that block spatial wavefunction dispersion by energy conservation satisfy the derived commutation relations, but their generalization to non-pure spin models does not.

arxiv:2403.13699 v11 · 2024-03-20 · quant-ph · cond-mat.stat-mech

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Claims

C1strongest claim

The nonlinear terms confining the wavefunction in space do indeed satisfy these relations. I generalize the terms of [L. De Carlo and W. D. Wick, Entropy 25, 564 (2023)] for non-pure spin models and check if they also satisfy the constraints, concluding with a negative answer.

C2weakest assumption

The nonlinear terms must satisfy specific commutation relations (derived from the requirement of physical admissibility under energy conservation) for the blocking mechanism to be consistent; this premise enters when the paper reviews the theory and states the conditions the terms have to obey.

C3one line summary

Nonlinear terms that block spatial cats via energy conservation satisfy derived commutation relations, but their generalization to non-pure spin models does not.

References

40 extracted · 40 resolved · 2 Pith anchors

[1] Arndt \ and\ author K 2014

[2] author author ERC Advanced Grant ,\ @noop title Q-tube , \ howpublished https://bist.eu/icfo-researcher-awarded-erc-advanced-grant/ ( year 2025 ) NoStop 2025

[3] author author ERC Synergy Grant ,\ @noop title Q-xtreme , \ howpublished https://cordis.europa.eu/project/id/951234 ( year 2023 ),\ note grant agreement ID: 951234 NoStop 2023

[4] Bassi , author M 2023

[5] author author J. R. \ Hance \ and\ author S. Hossenfelder ,\ title title What does it take to solve the measurement problem? \ @noop journal journal J. Phys. Commun. \ volume 6 ,\ pages 102001 ( year 2022

Formal links

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Receipt and verification

First computed	2026-07-21T02:21:14.319092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0304afdc12d61b0ad74c44bab3905153ce21c3fe01a413cb0bb6da5a5412b48e

Aliases

arxiv: 2403.13699 · arxiv_version: 2403.13699v11 · doi: 10.48550/arxiv.2403.13699 · pith_short_12: AMCK7XAS2YNQ · pith_short_16: AMCK7XAS2YNQVV2M · pith_short_8: AMCK7XAS

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AMCK7XAS2YNQVV2MIS5LHECRKP \
  | 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: 0304afdc12d61b0ad74c44bab3905153ce21c3fe01a413cb0bb6da5a5412b48e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98cf7394d02a7aecd34652782e7099393ffa10be22a2502bea9dac455a3e6ad5",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-03-20T16:03:03Z",
    "title_canon_sha256": "15384359da71167be29bfb8667372fc9bd4c6d28b173f9e55396af6a4e03e11c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.13699",
    "kind": "arxiv",
    "version": 11
  }
}