On the Role of Inconsistency in Quantum Foundational Debate and Hilbert Space Formulation

This article is intended mainly to develop an expository outline of an inherently inconsistent reasoning in the development of quantum mechanics during 1920s, which set up the background of proposing different variants of quantum logic a bit later. We will discuss here two of the quantum logical va...

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Main Author: Debajyoti Gangopadhyay
Format: Article
Language:English
Published: Quanta 2022-10-01
Series:Quanta
Online Access:https://dankogeorgiev.com/ojs/index.php/quanta/article/view/68
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author Debajyoti Gangopadhyay
author_facet Debajyoti Gangopadhyay
author_sort Debajyoti Gangopadhyay
collection DOAJ
description This article is intended mainly to develop an expository outline of an inherently inconsistent reasoning in the development of quantum mechanics during 1920s, which set up the background of proposing different variants of quantum logic a bit later. We will discuss here two of the quantum logical variants with reference to Hilbert space formulation, based on the proposals of Bohr and Schrödinger as a result of addressing the same kernel of difficulties and will give a relative comparison. Our presentation is fairly informal, as our goal here is to simply sketch the central ideas leaving further details for other occasions. Quanta 2022; 11: 28–41.
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spelling doaj-art-d243eb0adce144ff839f991fa22c1d7b2025-08-20T03:22:45ZengQuantaQuanta1314-73742022-10-011110.12743/quanta.v11i1.19568On the Role of Inconsistency in Quantum Foundational Debate and Hilbert Space FormulationDebajyoti Gangopadhyay0Transdisciplinary University, Bangalore This article is intended mainly to develop an expository outline of an inherently inconsistent reasoning in the development of quantum mechanics during 1920s, which set up the background of proposing different variants of quantum logic a bit later. We will discuss here two of the quantum logical variants with reference to Hilbert space formulation, based on the proposals of Bohr and Schrödinger as a result of addressing the same kernel of difficulties and will give a relative comparison. Our presentation is fairly informal, as our goal here is to simply sketch the central ideas leaving further details for other occasions. Quanta 2022; 11: 28–41. https://dankogeorgiev.com/ojs/index.php/quanta/article/view/68
spellingShingle Debajyoti Gangopadhyay
On the Role of Inconsistency in Quantum Foundational Debate and Hilbert Space Formulation
Quanta
title On the Role of Inconsistency in Quantum Foundational Debate and Hilbert Space Formulation
title_full On the Role of Inconsistency in Quantum Foundational Debate and Hilbert Space Formulation
title_fullStr On the Role of Inconsistency in Quantum Foundational Debate and Hilbert Space Formulation
title_full_unstemmed On the Role of Inconsistency in Quantum Foundational Debate and Hilbert Space Formulation
title_short On the Role of Inconsistency in Quantum Foundational Debate and Hilbert Space Formulation
title_sort on the role of inconsistency in quantum foundational debate and hilbert space formulation
url https://dankogeorgiev.com/ojs/index.php/quanta/article/view/68
work_keys_str_mv AT debajyotigangopadhyay ontheroleofinconsistencyinquantumfoundationaldebateandhilbertspaceformulation