Pith Number

pith:CRSEGOA4

pith:2026:CRSEGOA4LJZVT5CXZDZB7ELJU2

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Ontic Dynamical Locality Reduces to Bell Locality

Ming Yang

Any dynamical hidden-variable model obeying ontological parameter independence reduces to a static Bell model.

arxiv:2604.18238 v4 · 2026-04-20 · quant-ph

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\pithnumber{CRSEGOA4LJZVT5CXZDZB7ELJU2}

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Claims

C1strongest claim

We establish a generalized transition-kernel framework encompassing dynamical measurement processes and rigorously prove that any dynamical model satisfying ontological parameter independence is mathematically reducible to a static Bell model. We reveal a fundamental trichotomy: to reproduce quantum correlations, a hidden-variable model must violate either (i) strict locality (e.g., ontological parameter and outcome independence), (ii) measurement independence, or (iii) realism.

C2weakest assumption

That the generalized transition-kernel framework fully captures all possible dynamical hidden-variable models and that ontological parameter independence is the appropriate locality condition to impose on them.

C3one line summary

Local dynamical hidden-variable models with ontological parameter independence are equivalent to static Bell models, so quantum correlations cannot arise from purely local dynamical complexity.

Receipt and verification

First computed	2026-05-26T02:05:09.470376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

146443381c5a7359f457c8f21f9169a6911a3ce873ba02abbfa35fcb7dad58e9

Aliases

arxiv: 2604.18238 · arxiv_version: 2604.18238v4 · doi: 10.48550/arxiv.2604.18238 · pith_short_12: CRSEGOA4LJZV · pith_short_16: CRSEGOA4LJZVT5CX · pith_short_8: CRSEGOA4

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CRSEGOA4LJZVT5CXZDZB7ELJU2 \
  | 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: 146443381c5a7359f457c8f21f9169a6911a3ce873ba02abbfa35fcb7dad58e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9725642091a94ffe822185303cacc0ddba22918cbac4a2b4a7f8c6bd1d69d71e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-20T13:23:09Z",
    "title_canon_sha256": "e800ecd4b947c9afde7220bd4a0eae57cfe4cece40fc0155b1e900498519556b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.18238",
    "kind": "arxiv",
    "version": 4
  }
}