TurricaN

I describe below SI units from geometrized point of view: Below are all needed conversion factors that covers all SI base units, and if not possible, their unique elements, because ampere is a dimensionless ratio of two distances such as [C/s], and candela (1/683 [W/sr]) is a dimensionless ratio of two dimensionless ratios such as ratio of two volumes [kg*m^2/s^3]=[W] and ratio of two areas [m^2/m^2]=[sr]: into m G/c^2 [m/kg] c [m/s] ((G/(4*pi*(electric constant)))^0.5)/c^2 [m/C] (G*k)/c^4 [m/K] into kg c^2/G [kg/m] c^3/G [kg/s] 1/(G*4*pi*(electric constant))^0.5 [kg/C] k/c^2 [kg/K] into s 1/c [s/m] G/c^3 [s/kg] ((G/(4*pi*(electric constant)))^0.5)/c^3 [s/C] (G*k)/c^5 [s/K] into C c^2/((G/(4*pi*(electric constant)))^0.5) [C/m] (G*4*pi*(electric constant))^0.5 [C/kg] c^3/((G/(4*pi*(electric constant)))^0.5) [C/s] (k*(G*4*pi*(electric constant))^0.5)/c^2 [C/K] into K c^4/(G*k) [K/m] c^2/k [K/kg] c^5/(G*k) [K/s] c^2/(k*(G*4*pi*(electric constant))^0.5) [K/C] All these units represents nothing else than distance along dimension, that makes SI redundant in comparison to geometrized units. I hope that this info will be useful for anyone who wants to make custom geometrized systems of units of various numerical bases and of various quantitial single-unit bases.

I now need to go into geometrically dimensionless SI base units, and because of geometrical dimensionessness of ampere, mole, and candela, I think that some visualisations are needed: For ampere: Because 1A = 1 C/s, and because 1s equals 3.47921161E25C from this expression: c^3/((G/(4*pi*(electric constant)))^0.5) [C/s]=[A], verifiable here: http://www.google.com/search?hl=en&q=c%5E3%2F%28%28G%2F%284*pi*%28electric+constant%29%29%29%5E0.5%29&btnG=Google+Search I can visualize resultant dimensionless unit of current as one second of space that equals 3.47921161E25C and 299792458m, that flows in one second of time. Due to this, I will rather consider coulomb as next base unit, because it has dimension of distance, and was not present in previous set of units such as meter, kilogram, second and kelvin. For mole: Because 1mol= 1NA, I can visualize one mole as 6.0221415E23 dimensionless units, thus I will discard it completely, because it is not even ratio of two dimensionful units. For candela: Because 1cd is 1/683 [W/sr], I will rather consider lumens to discard dimensionless steradian that is a dimensionless ratio of areas. 1 lm equals 1/683 [W], that equals [J/s] and [kg*m^2/s^3], and because ratio of length*mass^2 to time^3 is the same as ratio of distance^3 to distance^3, I can visualize lumen as dimensionless ratio of volumes, which makes lumen in its parts and its wholeness a totally dimensionless unit, consisted of ratios of dimensionful units such as meter, kilogram, and second which all have dimension of distance. Because lumen contains no additional units besides meter, kilogram, second, coulomb and kelvin, I will discard it completely. source: http://www.onr.navy.mil/sci_tech/31/312/ncsr/devices/led/ch_11_human_vision.pdf Please verify if my explanations are correct in geometrized units?

Finally our discussion about septenary geometrized units was crowned by releasing by me principles and creation process of such system in article placed here: http://www.internet-encyclopedia.org/index.php/Septimalisation

I confirmed finally, that ampere, mole and candela are dimensionless, because: ampere: (amount of electron-lengths per time) 'Dimensionless Ratio', 'electric current' as in table at http://en.wikipedia.org/wiki/Geometrized_unit_system mole: 'certain number of particles' as in http://en.wikipedia.org/wiki/Talk:Geometrized_unit_system#Unit_conversion candela: (amount of photon-lengths per time per spherical angle) 'dimension 0' as in http://www.brooksdesign-cg.com/Code/Html/Lm/LMunitSI.htm, additionally radian and steradian are too dimensionless supplemental units Due to fact, that dimensionless radian and steradian are both dimensionless and supplementary/derived units in SI, I will too treat dimensionless ampere, mole and candela as supplementary/derived units in this reconstructed God's septenary system, choosing skipping them from my Excel table, and retaining only conversion from daynight into all four dimensionful base SI units such as metre, kilogram, second and kelvin, that all have dimension of distance along any dimension axis such as X,Y,Z or T.

My Excel conversion mentioned above works fine with almost all Biblical non-time units: http://cccolo.com/BibleWeightsAndMeasures.htm http://scriptures.lds.org/en/bd/w/7 approximate <> exact from geometrization constants and multiples/submultiples of daynight fingerbreadth 1.85E-2m ~ 1,59063203626137E-02m handbreadth 7.4E-2m ~ 1,11344242538296E-01m long cubit 5.18E-1m ~ 7,79409697768071E-01m long reed 3.11E0m ~ 5,4558678843765E+00m furlong 2.0117E+2m ~ 2,67337526334448E+02m gerah 5.7E-4kg ~ 3,9579777481142E-04kg shekel 1.14E-2kg ~ 1,93940909657596E-02kg talent 3.42E+1kg ~ 4,65652124087887E+01kg and proves that Biblical units are remnants of God's consistent septenary system reconstructed by me (even Hungarians in antiquity used septenary counting: http://www.rmki.kfki.hu/~lukacs/big7.htm)

Purpose of my work is simple: consistence and obedience to God's Sunday-related Commandment at once without contradiction. My system is only technically possible system that is both fully consistent and fully Sunday-compatible. And it has only one basic unit - daynight, and septenary multiples/submultiples with septenary exponent-numeral-derived prefixes. Additionally because I have some doubts, I ask about dimensional status of rest of SI base units such as ampere, mole and candela. Are they really dimensionless in geometrized units, or is possible converting of them into seconds? Please confirm or deny this, and if confirmation is possible, provide me relevant conversion factors from these units to secons (and if not possible to unity) in form of expressions containing constants.

No. But there exists such thing as draconitic year, described here: http://en.wikipedia.org/wiki/Year#Draconic_year , that is very similar to 343 day year, because it has 346 days, but best solution to keep septenary consistence would be abandoning synchronization with period of going Earth around the Sun completely.

My reason of making all units as septenary is following: I want to keep both God's Commandment of keeping seventh day holy and consistency in and between all units at once, without ever slight contradiction or inconsistency. I finished my Excel table and discovered, that Biblical non-time units roughly matches septenary multiples and submultiples of daynight expressed in metres, kilograms seconds and kelvins that I derived from one 86400 second period using abovementioned energy equivalent ratios. Units such as ampere, mole and candela are dimensionless, thus I discarded them. I even use for this septenary system of units following set of digits such as 0,1,2,3,4,5,6,10 as is natively in base seven system. This septenary system has only one unit called daynight and its septenary multiples and submultiples, that abovementioned Excel table expresses too in metres, kilograms seconds and kelvins. I even propose to use draconitic-like year that has exactly 343 days. In these daynights and its septenary multiples and submultiples is possible to measure not only time, but too length, mass, and temperature, as is in geometrized unit system. This septenary system is much simpler than SI, because in this system exists only one unit that fits for measuring of all scientific quantities.

Because you refused to answer me, I made some research and I'm answering myself to present solution of this problem to public: LUFE Matrix treats temperature as dimension to minus one power instead of dimension to one power, because it has contradiction at kelvin position between "°K" and "per °K" between these tables: http://www.brooksdesign-cg.com/Code/Html/Lm/LMunitSI.htm http://www.brooksdesign-cg.com/Code/Html/Lm/LMGsota.htm Additionally, because c5/(G*k) [K/s] is consistent with other conversion factors, while h/k [K/Hz] is not consistent with other conversion factors, LUFE Matrix is in error at Kelvin position, while Wikipedia set of conversion factors placed here: http://en.wikipedia.org/wiki/Geometrized_unit_system and in related Wikipedia article discussion is valid. That fact finally denies possibility of changing dimension of abovementioned ratio from K/s1 into K/s-1.

Yes, I want to purge Catholic units from babylonian influences, retaining only God's septenary system and nothing else. (Even sixth day is complemented with seventh, and twelve Apostles are complemented with thirteenth Mary-Queen of the Apostles and fourteenth Jesus-King of the Apostles) For example look at this: http://the-light.com/cal/veseptimal.html But you forgot answer me question how to transform this conversion factor c5/(G*k) to change its dimension from '''kelvins per second to one power''' (K/s1) into '''kelvins per second to minus one power''' (K/s-1) ? This is needed because in LUFE Matrix (drawn here:http://en.wikipedia.org/wiki/Talk:Geometrized_unit_system) kelvin is expressed as '''dimension to minus one power'''. I want to derive hertz-to-kelvin ratio from second-to kelvin ratio, because it is consistent with the rest. How to do this?

I finally avoided this ugly contradiction, by choosing another conversion factor for temperature, thus I got: *for conversion from meter to '''second to one power''' - c defining how many meters are in one second *for conversion from kilogram to '''second to one power''' - c3/G defining how many kilograms are in one second *for conversion from second to '''second to one power''' - no conversion factor, because 1s=1s1 *for conversion from ampere to '''second to zero power''' - no conversion factor, because it is dimensionless number *for conversion from kelvin to '''second to minus one power''' - c5/(G*k) defining how many kelvins are in one second (not in second to minus one power) *for conversion from mole to '''second to zero power''' - no conversion factor, because it is dimensionless number *for conversion from candela to '''second to zero power''' - no conversion factor, because it is dimensionless number I cross-checked these conversion factors by converting from obtained from second these values of both meter and kilogram back to kelvin, both using direct conversions from second to kelvin, and too from meter to kelvin multiplying by (c4/(G*k)) [K/m] and from kilogram to kelvin multiplying by (c2/k) [K/kg], and finally obtained the same results as in direct conversion from second to kelvin. That means that this set of conversion formulas is fully cross-consistent. But how transform this conversion factor c5/(G*k) to change its dimension from '''kelvins per second to one power''' (K/s1) into '''kelvins per second to minus one power''' (K/s-1) ?

Someone from Physics Forums wrote me something like: I deduced that these factors: 7.372 x 10-51 1.356 x 1050 are derived from: h/c2 and c2/h but unit dimension doesn't match, because of introducing of dimensionless unit made by multiplication by inversion. Thus how finally these two expressions: 1 second = c2/h * 7.372 x 10-51 kg 1 kg = h/c2 * 1.356 x 1050 second are formulated using combination of constants only?

I now understand your formulas, but I now want to look at their dimension: For example, Google Scholar accepts this: (h/c^2)/(h*G/c^5)^0.5)= http://scholar.google.com/scholar?hl=en&lr=&q=%28h%2Fc%5E2%29%2F%28h*G%2Fc%5E5%29%5E0.5%29%3D&btnG=Search but rejects this: ((h/c^2)/(h*G/c^5)^0.5)^0.5= http://scholar.google.com/scholar?q=%28%28h%2Fc%5E2%29%2F%28h*G%2Fc%5E5%29%5E0.5%29%5E0.5%3D&hl=en&lr=&btnG=Search How to force Google to perform calculation? for XYZ I substituted ((h*g)/c^5)^0.5 I want to check dimension of this, but Google Scholar treats my input as search, instead of calculating it. Do you know alternative for Google calculator?

I was only able to make working conversion formula from plain seconds to inverse kilograms (kg-¹), such as: 1 second*c²/h, but how to transform it to formula that converts directly from plain seconds into plain kilograms?

Sadly, Daniel Haxby's tips doesn't fit my needs. As you see, I made working formula in form: ((1 second)*(c²/h))-¹ Both second and (c²/h) are to -¹ power. Thus I transformed it to: (1 second)-¹*(c²/h)-¹ But how to transform it further to make bare (1 second) on left side of multiplication (or division if needed) sign, and appropiate transformation on right side of multiplication (or division if needed) sign?