Quantum Theory from Observer's Mathematics Point of View
Abstract
This work considers the linear (time-dependent) Schrodinger equation, quantum theory of two-slit interference, wave-particle duality for single photons, and the uncertainty principle in a setting of arithmetic, algebra, and topology provided by Observer's Mathematics, see [1]. Certain theoretical results and communications pertaining to these theorems are also provided.
- Publication:
-
Quantum Theory: Reconsideration of Foundations - 5
- Pub Date:
- May 2010
- DOI:
- 10.1063/1.3431504
- Bibcode:
- 2010AIPC.1232..294K
- Keywords:
-
- topology;
- quantum mechanics;
- Schroedinger equation;
- functional analysis;
- 02.40.Pc;
- 03.65.Ta;
- 03.65.Pm;
- 02.30.Sa;
- General topology;
- Foundations of quantum mechanics;
- measurement theory;
- Relativistic wave equations;
- Functional analysis