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Pré-Publication, Document De Travail Année : 2022

Derivation of Malus' law by purely classical reasoning expressed in the language of group representation theory

Résumé

This work is part of a reconstruction of quantum mechanics from scratch with the aim to understand what it means. In previous work we have shown that the Dirac equation can be derived by classical reasoning just using relativity and group theory. This implies that contrary to common belief quantum mechanics (QM) is not magical or radically different from classical mechanics. It is also not incompatible with the theory of relativity but completely part of it. As the experimental violations of the Bell inequalities seem to take exception with this general scheme for making sense of QM we have scrutinized the derivation of the Bell inequalities to figure out the limitations of our approach. We were able to show that the derivation contains a logical error based on wrong modelling. In the present paper we complete this investigation by showing that Malus' law can be derived by classical reasoning using group representation theory, both for electrons and photons. This is a further, be it somewhat more indirect proof that the derivation of the Bell inequalities contains an error. But more importantly it shows that the philosophy of our approach remains intact, by proving that we can also understand Malus' law with our methods and thereby validating our approach also for this physical phenomenon.

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Dates et versions

hal-03661918 , version 1 (08-05-2022)

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  • HAL Id : hal-03661918 , version 1

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Gerrit Coddens. Derivation of Malus' law by purely classical reasoning expressed in the language of group representation theory. 2022. ⟨hal-03661918⟩
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