dorsal/arxiv
View SchemaInformation and measurement in generally covariant quantum theory
| Authors | S. Jay Olson, Jonathan P. Dowling |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701200 |
| URL | https://arxiv.org/abs/quant-ph/0701200 |
Abstract
Due to the absence of an external, classical time variable, the probabilistic predictions of covariant quantum theory are ambiguous when multiple measurements are considered. Here, we introduce an information theoretic framework to the covariant formalism, and use it to interpret the measurement process. We find that the time ordering of measurements emerges as an entropy relationship in the state of the observers, giving unique probabilities for multiple measurements. This approach suggests a new, fully self-contained probability interpretation for generally covariant quantum physics, which makes use of a quantum mechanical description of the observer, in contrast to standard quantum mechanics which assumes an external, classical observer.
{
"annotation_id": "ef3e7999-7fa9-4d9e-9eb4-6d9dd008a6de",
"date_created": "2026-03-02T18:02:34.415000Z",
"date_modified": "2026-03-02T18:02:34.415000Z",
"file_hash": "90b9881a7426327a01ac9e8030d0f2a5d5ff4938187b74f376003419c99a7a69",
"private": false,
"record": {
"abstract": "Due to the absence of an external, classical time variable, the probabilistic\npredictions of covariant quantum theory are ambiguous when multiple\nmeasurements are considered. Here, we introduce an information theoretic\nframework to the covariant formalism, and use it to interpret the measurement\nprocess. We find that the time ordering of measurements emerges as an entropy\nrelationship in the state of the observers, giving unique probabilities for\nmultiple measurements. This approach suggests a new, fully self-contained\nprobability interpretation for generally covariant quantum physics, which makes\nuse of a quantum mechanical description of the observer, in contrast to\nstandard quantum mechanics which assumes an external, classical observer.",
"arxiv_id": "quant-ph/0701200",
"authors": [
"S. Jay Olson",
"Jonathan P. Dowling"
],
"categories": [
"quant-ph",
"gr-qc"
],
"title": "Information and measurement in generally covariant quantum theory",
"url": "https://arxiv.org/abs/quant-ph/0701200"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "272c481d-85f6-45d5-b193-a13025b22128",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}