Formulation of Quantum Theory Using Computable and Non-Computable Real Numbers
| dc.creator | Palmer, T. N. | |
| dc.date | 2001-01-02 | |
| dc.date.accessioned | 2026-07-07T06:01:27Z | |
| dc.date.available | 2026-07-07T06:01:27Z | |
| dc.description | It is shown that in two-state quantum theory, a generic quantum state can be described by a non-computable real number. In terms of this, the criterion for measurement outcome is simply and deterministically defined. This demonstration is based on a construction of the Riemann sphere whose points represent, not complex numbers, but divergent sequences with bivalent elements. Complex structure arises from self-similar properties of a set of operators which generate these sequences. In general, a rotation of (the coordinates of) the sphere maps a computable real to a non-computable real. This is interpreted physically as a mapping of a physically-measurable state to a counterfactual state. Implications for non-locality, null measurements, many worlds and so on, are discussed. The possible role of the Euler equation as the counterpart of the Schrodinger equation for real-number quantum state evolution is also outlined. | |
| dc.description | 27 pages, 1 eps figure | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0101007 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0101007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/89262 | |
| dc.subject | Quantum Physics | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Formulation of Quantum Theory Using Computable and Non-Computable Real Numbers | |
| dc.type | text |