Gnaiger MitoFit Preprint Arch 2020.4
Gnaiger Erich (2020) Canonical reviewer's comments on: Bureau International des Poids et Mesures (2019) The International System of Units (SI) 9th ed. MitoFit Preprint Arch 2020.4 doi:10.26124/mitofit:200004. |
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Gnaiger Erich (2020) MitoFit Preprint Arch
Abstract: Version 1 (v1) 2020-08-11 doi:10.26124/mitofit:200004 — »Link to all versions«
“The International System of Units, the SI, has been used around the world as the preferred system of units, the basic language for science, technology, industry and trade since it was established in 1960.” This statement heralds the 9th edition of the SI released on 2019-May-20. An new approach was introduced by defining the SI base units ― and thus the abstract SI units in general ― by their relation to fixed numerical values of fundamental constants of nature. Previous definitions of abstract units relied on a reference to concrete individual things realized as material artefacts, such as the International Prototype of the Kilogram (IPK). The (general) abstract unit ‘kilogram’ had to be calibrated in balance against an (individual) ‘entetic’ unit defining “1 kg” as a reference for the unit of mass and the mole [mol] as the unit of amount. Now the SI defines the mole as the fixed number of entities given by the Avogadro constant N_{A}. The elementary charge e is a fixed number of charges per proton. Amount and charge are thus in a fixed relation to the count of elementary entities U_{X} [x]. Count, amount, and charge are isomorphic elementary quantities. Amount and charge are linked to the count N_{X} = N∙U_{X} with elementary unit x by fixed conversion constants N_{A}^{-1} [mol∙x^{−1}] and e [C∙x^{−1}], respectively. The SI does not use the elementary unit x. This causes a number of formal inconsistencies as discussed in the present communication on Euclid’s unit, which is U_{X}, and Euclid’s number, which is a count N_{X}.
• Bioblast editor: Gnaiger Erich
• O2k-Network Lab: AT Innsbruck Gnaiger E
in: Anastrophe XX Entity X and elementary unit x of A X-mass Carol
Keywords—MitoPedia
- • Amount • Avogadro constant • Concentration • Cell count • IUPAC • Density • Dimension • Elementary charge • Elementary entity • International System of Units • Mass • Number • Numeral • Unit • Volume • Quantity
Quantity Symbol for quantity Q Symbol for dimension Name of abstract unit u_{Q} Symbol for unit u_{Q} [*] elementary entity ^{*,$} U_{X} U elementary unit x count ^{*,$} N_{X} = N·U_{X} X elementary unit x amount of substance ^{*,§} n_{X} = N_{X}·N_{A}^{-1} N mole mol charge ^{*,€} Q_{el} = z_{X}·e·N_{X} I·T coulomb C = A·s length l L meter m mass m M kilogram kg time t T second s electric current I I ampere A thermodynamic temperature T Θ kelvin K luminous intensity I_{v} J candela cd
- [*] SI units, except for the canonical 'elementary unit' [x]. The following footnotes are canonical comments.
- ^{*} For the elementary quantities N_{X}, n_{X}, and Q_{el}, the entity-type X of the elementary entity U_{X} has to be specified in the text and indicated by a subscript: n_{O2}; N_{ce}; Q_{el}.
- ^{$} Count N_{X} equals the number of elementary entities U_{X}. In the SI, the quantity 'count' is explicitly considered as an exception: "Each of the seven base quantities used in the SI is regarded as having its own dimension. .. All other quantities, with the exception of counts, are derived quantities" (Bureau International des Poids et Mesures 2019 The International System of Units (SI)). An elementary entity U_{X} is a material unit, it is not a count (U_{X} is not a number of U_{X}). N_{X} has the dimension X of a count and U_{X} has the dimension U of an elementary entity; both quantities have the same abstract unit, the 'elementary unit' [x].
- ^{§} Amount n_{X} is an elementary quantity, converting the elementary unit [x] into the SI base unit mole [mol] using the Avogadro constant N_{A}.
- ^{€} Charge is a derived SI quantity. Charge is an elementary quantity, converting the elementary unit [x] into coulombs [C] using the elementary charge e, or converting moles [mol] into coulombs [C] using the Faraday constant F. z_{X} is the charge number per elementary entity U_{X}, which is a constant for any defined elementary entity U_{X}. Q_{el} = z_{X}·F·n_{X}
References
Bioblast link | Reference | Year |
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Bureau International des Poids et Mesures 2019 The International System of Units (SI) | Bureau International des Poids et Mesures (2019) The International System of Units (SI). 9th edition:117-216 ISBN 978-92-822-2272-0. | 2019 |
Cohen 2008 IUPAC Green Book | Cohen ER, Cvitas T, Frey JG, Holmström B, Kuchitsu K, Marquardt R, Mills I, Pavese F, Quack M, Stohner J, Strauss HL, Takami M, Thor HL (2008) Quantities, Units and Symbols in Physical Chemistry. IUPAC Green Book 3rd Edition, 2nd Printing, IUPAC & RSC Publishing, Cambridge. | 2008 |
MitoFit 2020.4.v0 | Gnaiger Erich (2020) A X-mass Carol. Account of the elementaries of Body Mass Excess. MitoFit Preprint Arch 2020.4.v0. | |
Gnaiger MitoFit Preprint Arch 2020.4 | Gnaiger Erich (2020) Canonical reviewer's comments on: Bureau International des Poids et Mesures (2019) The International System of Units (SI) 9th ed. MitoFit Preprint Arch 2020.4 doi:10.26124/mitofit:200004. | 2020 |
BEC 2020.1 doi10.26124bec2020-0001.v1 | Gnaiger Erich et al ― MitoEAGLE Task Group (2020) Mitochondrial physiology. Bioenerg Commun 2020.1. doi:10.26124/bec:2020-0001.v1. | 2020 |
Goebel 2019 Wiley-VCH | Göbel EO, Siegner U (2019) The new international system of units (SI). Quantum metrology and quantum standards. Wiley-VCH 249 pp. | 2019 |
Hofstadter 1979 Harvester Press | Hofstadter DR (1979) Gödel, Escher, Bach: An eternal golden braid. A metaphorical fugue on minds and machines in the spirit of Lewis Carroll. Harvester Press:499 pp. | 1979 |
Kadosh 2015 Oxford Univ Press | Kadosh Roi Cohen, Dowker Ann, ed (2015) The Oxford handbook of numerical cognition. Oxford Univ Press:1185 pp. | 2015 |
Kahneman 2011 Penguin Books | Kahneman D (2011) Thinking, fast and slow. Penguin Books 499 pp. | 2011 |
Wilkie 2015 Front Psychol | Wilkie James EB, Bodenhausen Galen V (2015) The numerology of gender: gendered perceptions of even and odd numbers. Front Psychol 6:810. | 2015 |
- Bioblast links: SI base units - >>>>>>> - Click on [Expand] or [Collapse] - >>>>>>>
- Entity, count, and number, and SI base quantities / SI base units
Quantity name Symbol Unit name Symbol Comment elementary U_{X} elementary unit [x] U_{X}, U_{B}; [x] not in SI count N_{X} elementary unit [x] N_{X}, N_{B}; [x] not in SI number N - dimensionless = N_{X}·U_{X}^{-1} amount of substance n_{B} mole [mol] n_{X}, n_{B} electric current I ampere [A] A = C·s^{-1} time t second [s] length l meter [m] SI: metre mass m kilogram [kg] thermodynamic temperature T kelvin [K] luminous intensity I_{V} candela [cd]
- Fundamental relationships
- SI and related concepts
Preprints for Gentle Science
Labels: MiParea: Respiration
Organism: Human
BME, Amount of substance, Avogadro constant, Concentration, Count, Density, Dimension, Elementary charge, Elementary entity, International System of Units, Mass, Number, Numeral, Unit, Volume, Quantity