dorsal/arxiv
View Schema"Measurement" by neuronal tunneling: Implications of Born's rule
| Authors | L. Polley |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504092 |
| URL | https://arxiv.org/abs/quant-ph/0504092 |
Abstract
A non-collapse scenario for ``conscious'' selection of a term from a superposition was proposed in quant-ph/0309166: thermally assisted tunneling of neuronal pore molecules. But ``observers'' consisting of only two neurons appear to be at odds with Born's rule. In the present paper, an observer is assumed to possess a large number of auxilliary properties irrelevant for the result of the measurement. Born's rule then reduces to postulating that, prior to the result becoming conscious, irrelevant properties are in an entangled state with maximum likelihood, in the sense that phase-equivalent entanglements cover a maximal fraction of the unit sphere (leading to equal-amplitude superpositions).
{
"annotation_id": "4726f1a7-d9ba-4d3a-9ae3-2086959c91fb",
"date_created": "2026-03-02T18:02:16.601000Z",
"date_modified": "2026-03-02T18:02:16.601000Z",
"file_hash": "1769b50fbfe98a00bb94135fe999cf575168efa4c72b06c808db0288f57b85f8",
"private": false,
"record": {
"abstract": "A non-collapse scenario for ``conscious\u0027\u0027 selection of a term from a\nsuperposition was proposed in quant-ph/0309166: thermally assisted tunneling of\nneuronal pore molecules. But ``observers\u0027\u0027 consisting of only two neurons\nappear to be at odds with Born\u0027s rule. In the present paper, an observer is\nassumed to possess a large number of auxilliary properties irrelevant for the\nresult of the measurement. Born\u0027s rule then reduces to postulating that, prior\nto the result becoming conscious, irrelevant properties are in an entangled\nstate with maximum likelihood, in the sense that phase-equivalent entanglements\ncover a maximal fraction of the unit sphere (leading to equal-amplitude\nsuperpositions).",
"arxiv_id": "quant-ph/0504092",
"authors": [
"L. Polley"
],
"categories": [
"quant-ph"
],
"title": "\"Measurement\" by neuronal tunneling: Implications of Born\u0027s rule",
"url": "https://arxiv.org/abs/quant-ph/0504092"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d10e20ec-3541-4bc9-93e0-09bc986fda4e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}