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Leonard Posted Feb 7, 2003 8:01 PM
Talent-Mile system (a human-scale version of the univers's intrinsic units) has been discussed here occasionally since November 02 and I've noted some remarkable fortuitous hits, chance coincidences that make the system extra nice to use.
Another such hit has come up.
Cosmologists think the universe is roughly 2/3 dark energy and 1/3 dark matter---more detailed catalogs say some 65 percent dark energy and 30 percent dark matter and 5 percent *our* kind of matter. Ordinary radiation (light) also makes a contribution but it is percentagewise tiny.
It cosmology the most important energy density you can describe or try to explain is that of dark energy (the 65-70 percent of the whole ball of wax).
In talent-mile terms that density is one tenthousandth of the unit density. (Another nice coincidence is that the energy density of sunlight at this distance from the sun is TM unit energy density.)
Some uncertainty---a good recent estimate is
1.3E-4, or if you write it out 0.00013.
But as a rough-and-ready approximation, one tenthousandth ocmile per cubic mile.
The basic system definitions, unchanged since around 1Nov02, depend on a technical minute of 54 ordinary seconds----exactly 90 percent of the ordinary minute. No reform of time-telling is proposed, one continues to use the conventional units of time hoursminutesseconds but has one additional unit available for optional use in certain technical contexts such as problem-solving. The definitions, which I will summarize, lead to a mile of 1618.88 meters and a talent mass unit of 21.73 kilo, these being approximately equal to power-of-ten scale-ups of the the Planck units. The corresponding force unit (oc = talent mile per sq.minute) is about 12 newtons or 2.7 pounds and the ocmile is 4.7 food Calories, i.e. kilocalories. The definitions are logically equivalent to making c, hbar, k, e, and the Avogadro number take on exact power-of-ten values.
c = E7 miles per minute
hbar = E-40 ocmile minute
k = E-25 ocmile per grade
mole = E23 items
e = E-23 charge unit
With these definitions, G = 1.00E-15 cubmile/sqminute per talent.
TM BENEFITS FROM A BUNCH OF NICE COINCIDENCES, HERE IS
A SAMPLING INCLUDING THE RECENTLY NOTED ONE ABOUT DARK
ENERGY
Since the earth's average orbit speed is about one tenthousandth of c, it turns out to be 1000 miles a minute.
In much of the earth's atmosphere (a deep layer above convection, with roughly constant temperature) sound goes 10 miles a minute, though 11 is typical for room temperature air.
A thousandth of a mile is classically a pace and a thousandth of a cubic pace is gallon-sized, and so serves as the talent-mile gallon.
The earth's average density is slightly over one talent per gallon.
At human body temp and standard sealevel air pressure the molar volume is one gallon. A gallon-sized lungful of air contains E23 air molecules.
A cubic mile of space near the earth contains E23 photons of sunlight---a mole of sunlight.
The talent-mile charge unit is a mole of electrons.
The talent-mile eevee is E-23 ocmile. That is, the standard energy unit is a mole of electron volts.
The talent-mile power unit---ocmile per minute---is close to half a horsepower and is called pony. In metric terms a pony of power is about 360 watts.
The intensity of sunlight at this distance from the sun is E7 ponies per sqmile.
The sun's power output is E24 ponies.
The average energy of a quantum of sunlight is E-23 ocmile. This also equals the talent-mile eevee.
Quantum energy of one electron volt corresponds to the
(angular format) wavelength of 100 nanopace. [may have to use prefixes of scale like nano, pace is 1/1000 of mile]
A cubic mile of sunlight at this distance from the sun contains one talent-mile unit (one ocmile) of energy. That is, sunlight has the *unit energy density* in these units.
Now it turns out that the most important energy density in the universe---for its longterm development and eventual fate---is one tenthousandth of this.
It is like this---c is the most important speed in the universe and the earth's speed just HAPPENS TO BE A tenthousandth of that as if the universe wanted to make it easy for us so if we tune the units so light goes ten million miles a minute then earth goes one thousand miles a minute and its as simple as that.
but now it turnsout that something like that happens in ENERGY DENSITY TOO. The universes most important energydensity is that of dark energy and the one that matters most to us earth creatures is related to it by that same factor of ten thousand---sunlight energydensity is ten thousand times that of the dark.
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