Talk:Geometrized unit system: Difference between revisions
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::Can you update definition table in article to cover all seven SI base units, even mole and candela, and reorient table's conversion to converting from these units into second to various power, or at least provide in discussion all needed conversion formulas that fits my need of converting from seven SI units into second? I don't know all needed conversion factors for these, and those placed there converts into meters, but not into seconds.[[User:83.5.0.83|83.5.0.83]] 16:42, 31 March 2007 (UTC) |
::Can you update definition table in article to cover all seven SI base units, even mole and candela, and reorient table's conversion to converting from these units into second to various power, or at least provide in discussion all needed conversion formulas that fits my need of converting from seven SI units into second? I don't know all needed conversion factors for these, and those placed there converts into meters, but not into seconds.[[User:83.5.0.83|83.5.0.83]] 16:42, 31 March 2007 (UTC) |
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::: A mole is just a certain number of particles - it shouldn't need any conversion. I don't know how to handle candela offhand. To convert to seconds rather than meters, convert to meters and multiply by 1/c, which has units of seconds/meter. |
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::: As far as powers go, there is a standard rule for handling unit conversions, which is that if you square the units, you square the conversion factor. Example: 1 foot = 12 inch, 1 foot^2 = 144 square inches. There should be articles on how to do general unit conversions that explain this. However, Dimensional analysis, the logical place for this, doesn't seem too detailed. So there is room for improvement in the wikipedia, but the improvement should probably go into the dimensional analysis article. [[User:Pervect|Pervect]] 02:23, 1 April 2007 (UTC) |
Revision as of 02:23, 1 April 2007
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Title?
Should this be moved to geometrized unit (singular)? Sometimes the plural is appropriate in an article title; is this such a case? Michael Hardy 15:46, 18 Dec 2003 (UTC)
I moved it to geometrized unit system, for in this case the plural was used to identify a category. Thanks for the comment.
8πG = 1?
Isn't sometimes 8πG set to 1? --Pjacobi 11:05, July 31, 2005 (UTC)
- There actually are several different systems involved here. Your "sometimes" and the "sometimes" starting the second paragaph of the article are clues to that fact. Gene Nygaard 11:16, 31 July 2005 (UTC)
Yes, 8πG is another common convention, as is 16πG=1. This is problematic. My impression is that the most common modern convention is 8πG=1, but I could be mistaken. –Joke137 18:10, 2 October 2005 (UTC)
- But what about Wald, General relativity, Appendix F, which uses c = G =1? This is probably the most widely used graduate textbook on general relativity in the English-speaking world. Can anyone cite a major textbook which used either of the other two conventions mentioned by Joke137? ---CH (talk) 01:33, 3 October 2005 (UTC)
Students beware
I extensively edited the August 2006 version of this article and had been monitoring it for bad edits, but I am leaving the WP and am now abandoning this article to its fate.
Just wanted to provide notice that I am only responsible (in part) for the last version I edited; see User:Hillman/Archive. I emphatically do not vouch for anything you might see in more recent versions, although I hope for the best.
Good luck in your search for information, regardless!---CH 23:52, 30 June 2006 (UTC)
MKS Charge units
I beleive there should be a entry for converting SI charge units in the official conversion table.
Using google calculator, I get for the conversion constant:
= sqrt(G / (4 * Pi * electric constant * c^4)) = 8.61667791 × 10-18 m / coulomb
question: what source should be used for constant values?
Pervect 23:09, 22 July 2006 (UTC)
Edits
I've made the edits indicated above, having gotten no comments. The conversion table from Wald is for cgs units, unfortunately. This would only matter for charge and related electrical units. I've marked up the table to indicate it's a cgs table as the simplest course of action to fix the issue.
consistincy checks:
- 1 statcolumb * sqrt(G)/c^2 -> 2.87 * 10^-25 cm = 2.87* 10^-27 m
- 1 coulomb -> 8.62 * 10^-18 m (from MKS table)
- 1 statcolumb / 1 coulomb = 3.33*10^-10
consistent with http://en.wikipedia.org/wiki/Statcoulomb
This is incosistent with the wiki cgs page, however!
more consistency checks:
- charge of electron = 1.381*10^-34 cm (MTW back cover)
- charge of electron = 1.60*10^-19 coulomb * 8.62*10^-18 m/coulomb = 1.38*10^-36 m = 1.38*10^-34 cm
Pervect 22:41, 29 July 2006 (UTC)
more edits
I went through and added the SI units and conversion factors to the table (a major edit at least in terms of work).
I cross-checked the conversion formulas for SI units with google calculator. Examples (cut and paste the following formula into google calc). epsilon_0 is "electric constant" in Google.
- (amps)* (sqrt (G / (4 * pi * electric constant))) / c^3=
- (tesla) * (sqrt(G * (4 * pi * electric constant) ) / c) =
- (volts) * (sqrt(G * (4 * pi * electric constant) ) / c^2) =
LUFE Matrix and unit conversion
I recently added unidimensional version of LUFE Matrix to Geometrized unit system article, and too documenting reference to less simplified original duodimensional LUFE Matrix. I ask, how to convert meter, kilogram, second, ampere, kelvin, mole and candela to second, using cross-consistent converting formulas that too will retain cross-consistency in converting between meter, kilogram, second, ampere, kelvin, mole and candela, giving cross-consistent results? Which formulas are needed to perform this conversion task, directly from these units to seconds and second-derivations as follows:
- from meter to second to one power
- from kilogram to second to one power
- from second to second to one power
- from ampere to second to zero power
- from kelvin to second to minus one power
- from mole to second to zero power
- from candela to second to zero power
After removing from article I moved to discussion both reference of this duodimensional LUFE Matrix by Reginald Brooks that simplifies non-geometrized units to space and time dimensions, and too unidimensional LUFE Matrix that simplifies non-geometrized units to only one dimension, that can be either linear space or linear time dimension. It is a simplification of Brooks's one. Maybe it will be useful for someone?
D-3 | D-2 | D-1 | D0 | D+1 | D+2 | D+3 |
amount of substance concentration | angular acceleration,
electric charge density, mass density |
acceleration, electric field,
electric field reluctance, electric field strength, electric flux density |
conductance, velocity of
light |
capacitance, length,
wavelength |
angular momentum, Boltzmann
constant, entropy, heat capacity, magnetic moment, Planck constant, universal gas constant |
moment of inertia,
quadropole moment |
electric current density | activity, angular frequency,
angular velocity, frequency, magnetic flux density, temperature |
current, magnetomotive force | charge, electric flux, mass | area | volume | |
energy density, modulus of
elasticity, pressure, stress |
heat flux, spring constant,
surface tension, thermal conductance |
dose, potential difference,
specific energy |
energy, heat, internal
energy, moment of force, torque, work |
center of mass, electric
moment |
||
heat flux density,
irradiance, radiance, radiant flux density, sound intensity |
Josephson frequency volt
quotient |
energy, power, radiant flux
conduction |
impulse, momentum | specific volume | ||
luminance | magnetic field intensity,
magnetic field strength, magnetization, viscosity |
force, tension, thermal
conductivity |
inductance, permeance | Stefan Boltzmann constant | ||
Rydberg constant | impedance, reactance,
resistance |
magnetic flux, specific heat,
thermal diffusivity |
||||
permeability of the vacuum | resistivity, temperature
coefficient resistance, thermal expansion coefficiency, time |
Source: LUFE Matrix
83.19.52.107 07:21, 29 March 2007 (UTC)
- I rather hate to say this after all the work this user has put in, but I think that the LUFE matrix is not a good wikipedia reference, as per http://en.wikipedia.org/wiki/Wikipedia:Reliable_sources, specifically WP:SPS
- I'll take the liberty of quoting the relevant section
Self-published sources Shortcut: WP:SPS WP:SELFPUB
Main article: Wikipedia:Attribution
A self-published source is a published source that has not been subject to any form of independent fact-checking, or where no one stands between the writer and the act of publication. It includes personal websites and books published by vanity presses. Anyone can create a website or pay to have a book published, and then claim to be an expert in a certain field. For that reason, self-published books, personal websites, and blogs are usually not acceptable as sources (see Exceptions below). [/quote]
- I haven't been terribly active on Wikipedia recently, or I would have mentioned this much earlier.
- Unfortunately this suggests that a major revert is in order.... Pervect 18:47, 29 March 2007 (UTC)
- If you find out something new, even a new way of presenting it, Wikipedia isn't the right place to publish it. Encyclopedias aren't for creative work. And I'd consider something new, as long as not taken up in textbooks or at least review papers. There is some middle ground, where nasty long-going arguments may arise (as happened regarding Entropy), but the case of the LUFE matrix seems rather clear to me. So I revert now. --Pjacobi 22:24, 29 March 2007 (UTC)
Unit conversion
What's with conversion from all base SI units to seconds? How to convert from these units to second to various power as stated below and deduced from abovementioned LUFE Matrix?
- from meter to second to one power
- from kilogram to second to one power
- from second to second to one power
- from ampere to second to zero power
- from kelvin to second to minus one power
- from mole to second to zero power
- from candela to second to zero power
83.5.0.83 16:32, 31 March 2007 (UTC)
- See the table in "Definition" which lists the more important cases. Perhaps the conversion factor of "1" for length should be explicitely added. Current and voltage may be added, mole and candela I would leave out. --Pjacobi 16:38, 31 March 2007 (UTC)
- Can you update definition table in article to cover all seven SI base units, even mole and candela, and reorient table's conversion to converting from these units into second to various power, or at least provide in discussion all needed conversion formulas that fits my need of converting from seven SI units into second? I don't know all needed conversion factors for these, and those placed there converts into meters, but not into seconds.83.5.0.83 16:42, 31 March 2007 (UTC)
- A mole is just a certain number of particles - it shouldn't need any conversion. I don't know how to handle candela offhand. To convert to seconds rather than meters, convert to meters and multiply by 1/c, which has units of seconds/meter.
- As far as powers go, there is a standard rule for handling unit conversions, which is that if you square the units, you square the conversion factor. Example: 1 foot = 12 inch, 1 foot^2 = 144 square inches. There should be articles on how to do general unit conversions that explain this. However, Dimensional analysis, the logical place for this, doesn't seem too detailed. So there is room for improvement in the wikipedia, but the improvement should probably go into the dimensional analysis article. Pervect 02:23, 1 April 2007 (UTC)