Jones Beene wrote: > > ----- Original Message ----- > From: Frederick Sparber > > > A fundamental law? Energy is inversely proportional to radius? > > > Certainly true regarding photon wavelength > The Radius of a particle given as kq^2/mc^2 says the same thing whether it's a quark or rabbit "pellet" .:-) This is applied to the Energy Density, Joule/Meter^3 of a particle, but it should also apply to Surface Energy.
The classical example is the energy required in breaking up a cubic centimeter of water into NanoSphere Droplets. When you get down to H2O molecular size it's the heat of vaporization. IOW. if Nanobubbles are formed in the Joe Cell in prolific numbers when they get drawn from the cell in droplets) into the cylinder they should be forced to collapse and give off energy the same way cavitation-sonoluminescence bubbles do. > > - plus - Prof. Casimir sez: as you go smaller and smaller in > dimensions, then the increase turns from cubic to fourth-power, > therefore ... one might suppose - that this threshold of about 100 > nm is (hypothetically) the real advantage of a nanobuble over a > microbubble ? > Prof. Casimir is mentioned on page 29 section 3.1 in this article. http://www2.ijs.si/~kkocevar/skripta.pdf I think 6th or 7th power is more like it. Fred > > Jones > > The sequence of fourth powers of integers goes: > 1, 16, 81, 256, 625, 1296, 2401, 4096, 6561, 10000, > > So if a nanobubble radius (very stable bubble) were forced to > shrink, during the compression and combustion cycles of an ICE > (aided by the Casimir force below 10 nm) from 100 nm down to 1 nm, > would its potential enegy increase by a factor of 10,000 ... while > requiring a relative energy input of 1000 ? IOW a 10-1 gain thanks > to Casimir ?? > > > The last two digits of a fourth power can be easily shown (for > instance, by computing the squares of possible last two digits of > square numbers) to be restricted to only twelve possibilities: 00, > 01, 16, 21, 25, 36, 41, 56, 61, 76, 81 and 96. >
