October 24, 2010

A Note About the Fundamental Relationship Between SRT, GRT and the Equivalence Principle, and QM.

Much effort is put into "deep" thinking to show the relationships between various aspects of theory and our world. Sometimes it can be done rather simply.  Years ago I conceived the following little thought experiment in "comparative physics" (imagining the implications of laws being otherwise.)  I don't have any idea who else might have also etc.  Let's suppose light propagated "ballistically" like in the Ritz theory.  (That means c' = c + v, so the speed of light is like a bullet in classical physics.  It clearly would not be a constant for all observers, nor like the ether theory where c is relative to a pervasive, fixed medium.)

Now let's apply ballistic light to the equivalence principle: we have a source at the bottom of an accelerating chamber, at some frequency ν.  Since the light is ballistic, each pulse takes the same time delay to catch up to the accelerating "top" end. That means there is no Doppler shift of frequency, even though there would presumably (depending on just how the Ritzian theory handles light) be a loss of energy equivalent to the change in gravitational potential.  This situation may be acceptable in terms of classical physics, but it won't do for quantum physics: if each pulse or photon carries a certain energy, and the energy is diminished by climbing up the relative g field, then the frequency should be slowed the same proportion according to U = hν.  Note: I tend to use "U" for energy because I like to save "E" for electric field.

Hence we see that SRT, GRT/EP, and QM form a sort of triangle of consistency.  We (or Nature) are not free to just, say, substitute classical velocity addition for light and expect things to stay the same in other areas.

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March 4, 2010

How to Get "Free Energy" Out of an Expanding Universe, Maybe for Real

This may come as a big surprise to some folks, but it is acknowledged that energy is not necessarily conserved in large-scale GR. I once thought of a paradox about that: Have either an infinite or closed hyperspherical, now-expanding universe. Let's say it is filled with a bunch of devices (acting like "galaxies" in cosmology) in a closed Cartesian array (i.e. like integers in x, y, x.) Have them connected together (as "given") with elastic bands. Since the elastic forces on each object cancel out, the spatial standards of the universe and these objects can retreat from each other without being "held back." It's as if no bands, just gravity, right? But as this universe expands for awhile, the bands can accumulate whatever amount of elastic energy they can hold from W = (1/2)ks^2 (for some duration.) Note that if we want to avoid complications from elastic stress terms, we can imagine connecting cords used to turn generator rotors around as the cords unwind, etc.
(Similar recently posted in comments at  "Gravity is Entropy is Gravity is..." Sorry to Bee, I should have linked to here instead of spilling it there.)

This makes a problem of sorts about energy conservation. It may already be accepted that such things are possible, given the acknowledged issues with CoE in GR, but wouldn't you be surprised if this could work? It seems so much like that crank stuff that just is supposed to be possible.

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