Natural units and the vector space of physical values
arXiv:1504.02332 · doi:10.1088/0143-0807/36/3/035008
Abstract
We explore the mathematical foundations of the vector space of physical dimensions introduced in A. Maksymowicz, Am. J. Phys. 44, 1976, and extend this formalism to the vector space of physical values. As different unit systems correspond to different bases of this vector space, our formalism may find use for introducing the concept of natural units and transforming physical values between unit systems.
This is an author-created, un-copyedited version of an article published in the European Journal of Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/0143-0807/36/3/035008