dorsal/arxiv
View SchemaUnfortunate Terminology
| Authors | J. K. Kowalczynski |
|---|---|
| Categories | |
| ArXiv ID | physics/0303004 |
| URL | https://arxiv.org/abs/physics/0303004 |
Abstract
The phrase "negative squared rest mass" can sometimes be found in papers on neutrinos and frequently occurs in the tachyonic literature. Consequently, some authors say that "the rest mass of tachyons is imaginary". Besides, the statement "photons have zero rest mass" is almost common. In terms of relativity, however, the state of rest cannot be reasonably defined for luxons and tachyons, and, therefore, today it does not make sense to speak of rest mass of such objects. It is shown here that the phrases "negative squared mass", "imaginary mass", and "photon's zero mass" result from applying bradyonic dynamical relativistic relations to determine properties of luxons and tachyons; and that this erroneous procedure results from an unfortunate interpretation of kinematical relativistic relations. It is also shown that the use of proper relativistic relations, i.e. luxonic or tachyonic ones, gives a positive quantity having the squared mass dimension. Thus we obtain a nonzero real quantity having the mass dimension (called masslike quantity), which is positive for the photon and may (by intuition - should) be positive for other luxons and for tachyons.
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"abstract": "The phrase \"negative squared rest mass\" can sometimes be found in papers on\nneutrinos and frequently occurs in the tachyonic literature. Consequently, some\nauthors say that \"the rest mass of tachyons is imaginary\". Besides, the\nstatement \"photons have zero rest mass\" is almost common. In terms of\nrelativity, however, the state of rest cannot be reasonably defined for luxons\nand tachyons, and, therefore, today it does not make sense to speak of rest\nmass of such objects. It is shown here that the phrases \"negative squared\nmass\", \"imaginary mass\", and \"photon\u0027s zero mass\" result from applying\nbradyonic dynamical relativistic relations to determine properties of luxons\nand tachyons; and that this erroneous procedure results from an unfortunate\ninterpretation of kinematical relativistic relations. It is also shown that the\nuse of proper relativistic relations, i.e. luxonic or tachyonic ones, gives a\npositive quantity having the squared mass dimension. Thus we obtain a nonzero\nreal quantity having the mass dimension (called masslike quantity), which is\npositive for the photon and may (by intuition - should) be positive for other\nluxons and for tachyons.",
"arxiv_id": "physics/0303004",
"authors": [
"J. K. Kowalczynski"
],
"categories": [
"physics.gen-ph",
"physics.class-ph"
],
"title": "Unfortunate Terminology",
"url": "https://arxiv.org/abs/physics/0303004"
},
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