dorsal/arxiv
View SchemaQuantum Formalism with State-Collapse and Superluminal Communication
| Authors | George Svetlichny |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9511002 |
| URL | https://arxiv.org/abs/quant-ph/9511002 |
| Journal | Foundation of Physics 28, (1998) 131 |
Abstract
Given the collapse hypothesis (CH) of quantum measurement, EPR-type correlations along with the hypothesis of the impossibility of superluminal communication (ISC) have the effect of globalizing gross features of the quantum formalism making them universally true. In particular, these hypotheses imply that state transformations of density matrices must be linear and that evolution which preserves purity of states must also be linear. A gedanken experiment shows that lorentz covariance along with the second law of thermodynamics imply a non-entropic version of ISC. Partial results using quantum logic suggest, given ISC and a version of CH, a connection between lorentz covariance and the covering law. These results show that standard quantum mechanics is structurally unstable, and suggest that viable relativistic alternatives must question CH. One may also speculate that some features of the hilbert-space model of quantum mechanics have their origin in space-time structure.
{
"annotation_id": "d3ac9bb3-1583-403f-9444-db6b388aa4b0",
"date_created": "2026-03-02T18:02:38.167000Z",
"date_modified": "2026-03-02T18:02:38.167000Z",
"file_hash": "406ac26f78c4e2f5805387d5c6aad4eafb0b1d4a9c8dbbea7ecdb2bb532bc932",
"private": false,
"record": {
"abstract": "Given the collapse hypothesis (CH) of quantum measurement, EPR-type\ncorrelations along with the hypothesis of the impossibility of superluminal\ncommunication (ISC) have the effect of globalizing gross features of the\nquantum formalism making them universally true. In particular, these hypotheses\nimply that state transformations of density matrices must be linear and that\nevolution which preserves purity of states must also be linear. A gedanken\nexperiment shows that lorentz covariance along with the second law of\nthermodynamics imply a non-entropic version of ISC. Partial results using\nquantum logic suggest, given ISC and a version of CH, a connection between\nlorentz covariance and the covering law. These results show that standard\nquantum mechanics is structurally unstable, and suggest that viable\nrelativistic alternatives must question CH. One may also speculate that some\nfeatures of the hilbert-space model of quantum mechanics have their origin in\nspace-time structure.",
"arxiv_id": "quant-ph/9511002",
"authors": [
"George Svetlichny"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-th"
],
"journal_ref": "Foundation of Physics 28, (1998) 131",
"title": "Quantum Formalism with State-Collapse and Superluminal Communication",
"url": "https://arxiv.org/abs/quant-ph/9511002"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d3256b7e-f9a6-4f33-bd84-bff180519fce",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}