Linear superposition as a core theorem of quantum empiricism
| العنوان: | Linear superposition as a core theorem of quantum empiricism |
|---|---|
| المؤلفون: | Yurii V. Brezhnev |
| المصدر: | Universe. 2022. Vol. 8, № 4. P. 217 (1-78) Universe; Volume 8; Issue 4; Pages: 217 |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Quantum Physics, интерпретации, принцип суперпозиции, самореферентность, General Physics and Astronomy, FOS: Physical sciences, Mathematical Physics (math-ph), числа, векторное пространство, quantum foundations, non-axiomaticity, detector clicks, ensembles, superposition principle, arithmetic, numbers, vector space, abstracting, interpretations, self-referentiality, абстрагирование, Quantum Physics (quant-ph), Mathematical Physics, арифметика |
| الوصف: | Clarifying the nature of the quantum state $|\Psi\rangle$ is at the root of the problems with insight into counter-intuitive quantum postulates. We provide a direct-and math-axiom free-empirical derivation of this object as an element of a vector space. Establishing the linearity of this structure--quantum superposition--is based on a set-theoretic creation of ensemble formations and invokes the following three principia: ($\textsf{I}$) quantum statics, ($\textsf{II}$) doctrine of the number in the physical theory, and ($\textsf{III}$) mathematization of matching the two observations with each other (quantum covariance). All of the constructs rest upon a formalization of the minimal experimental entity--the registered micro-event, detector click. This is sufficient for producing the $\mathbb C$-numbers, axioms of linear vector space (superposition principle), statistical mixtures of states, eigenstates and their spectra, and non-commutativity of observables. No use is required of the spatio-temporal concepts. As a result, the foundations of theory are liberated to a significant extent from the issues associated with physical interpretations, philosophical exegeses, and mathematical reconstruction of the entire quantum edifice. Comment: Final version; 84 pages (major improvements), no figures. Russian version is available upon email-request |
| وصف الملف: | application/pdf |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34bdb0476c9c71116f8a4f69d454b566 https://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000927400 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....34bdb0476c9c71116f8a4f69d454b566 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |