stglyde said:
Markus, I'll ponder on the above. But I need to know something now and the reason why I wrote this thread. Remember Lorentz when he tried to explain the reason for the null result of the Michelson-Morley Experiment. He claimed length can contract and time can shorten when something moving in the ether, that's why the MMX produced null result and all experiments up to the present can't distinguish between Lorentz Ether Theory and Special Relativity because they both use the Lorentz Transformation (which was invented by Lorentz before Einstein discovered SR). I think you are pretty familiar with LET. Now let's not debate about LET. What I want to know is whether the Big Bang is compatible with Lorentz Ether or how the Big Bang can give birth to Lorentz Ether. If no experiment can distinguish LET and SR. Can LET perhaps be refuted by strong evidence of the Big Bang.. assuming Big Bang and Lorentz Aether is totally incompatible. If not. Any papers or models of how the Big Bang can give rise or give birth to the Lorentz Ether?
Glyde, this is something of a new line of questioning. I will try to carry it along so we don't forget it. Maybe someone else will respond in a useful way, who knows more and has thought more about it than I have.
But before I try to understand the new I want to finish the discussion of
Planck energy density and how to picture it.
People have different conjectures about the start of expansion---the actual start, that very moment, is not covered by classical GR and standard cosmology. So people are working on various models and
they typically do involve densities around Planck.
One very concrete and definite model of the start of expansion is the (LQC) BOUNCE and when they study different cases and either solve the equations or run the computer simulations with various inputs it typically happens that the bounce occurs when the density is
41% of Planck.
In effect we always face the need to picture Planck energy density, with whichever model.
If you iike to picture stuff in your mind, as many do. The simplest is to think of that density of LIGHT filling the universe. Imagine that ordinary matter boiled away into light already at lower density. Nothing that occupies any space is left. Only photons. You know from LASERS that you can put as many photons as you want on top of each other like sardines without limit.
The typical photon in the mix has wavelength equal Planck length. (the smaller the more energetic, the hotter the light). That is wavelength equal to 10
-35 meter. So within the space of a proton sized 10
-15 meter he has room for a lot of ripples. A proton is a huge space for these photons because, being such hot and energetic light their wavelength is very small. And they have no Pauli territoriality, they welcome each other's company.
So let's put some numbers. The energy equivalent of 22 micrograms (i.e. Planck mass) is 1.9 billion joules or in round numbers 2 billion joules. It's like the energy equiv of a tank of gas. It is the Planck energy unit.
So at Planck density, or at 41% of Planck energy or whatever, everything is pure energy and we can picture the U filled with very hot bright light with about a billion joules in each Planck volume. Or two billion, if we are imagining Planck density instead of 41% of it.
marcus said:
...
...estimate how many Planck volumes are in a proton volume?
Planck length is about 10-35 meters and proton scale is about 10-15 meters. So cube their ratio.
Proton volume is about 1060 times Planck volume...
The standard metric unit of energy is a JOULE. It is the amount you expend if you lift a (kilogram) book about 10 centimeters off the table. It is the amount of thud you hear when you drop it back onto table.
The energy density of the U, with all matter converted to the common currency of light, is 0.22 nanojoules per cubic meter...
So a proton volume has 10
60 Planck volumes each of which contains a two billion joules of light. So it contains 2x10
69 joules.
Lets compare that with (the energy equivalent of) the observable universe. The Hubble distance is about 13.8 billion light years. If you type that into google you get
1.3 x 10
26 meters. Radius of the observable is about 3.3 times Hubble distance so say 4x 10
26 meters. I think that makes the observable volume about 2.5 x 10
80 cubic meters. You might check that with a calculator.
So what do we get if each cubic meter of today's universe has on average the matter equivalent of 0.22 nanojoules? I get around 5 x 10
70 joules.
This has been quick and sloppy, it is not good enough to quote in another post. anyone who cares to do so could improve the accuracy and the result might change by up to an order of magnitude. But it gives the right idea. If you think of the proton volume as a room containing jillions of photons of very high temperature short wavelength light, and you imagine that the energy density is Planck,
then that proton volume contains about the same as the energy equivalent of the observable universe volume. This is admittedly kind of clunky. Anyone who wants is welcome to make it neater and more precise.