----- Original Message ----- From: Frederick Sparber

A fundamental law?   Energy is inversely proportional to radius?


Certainly true regarding photon wavelength

- plus - Prof. Casimir sez: as you go smaller and smaller in dimensions, then the increase turns from cubic to fourth-power, therfore ... one might suppose - that this threshold of about 100 nm is (hypothetically) the real advantage of a nanobuble over a microbubble ?

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.

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