S.Vasojevic said:
Your theory is rejecting Big Bang cosmology, which is not good thing. Not because BB is a 'holy cow' in physics, but because it has many arguments, and probably strongest is that we know exact age of the universe.
As twofish pointed, you would need to modify GR. Good luck with that.
twofish-quant said:
Yes you are. You are rejecting BB cosmology and talking about non-linearities in Maxwell's equations and gravity waves. Therefore you *are* proposing a new theory of gravity. Now there is nothing wrong with proposing a new theory of gravity. There is an entire industry right now that is working on alternative theories of gravity. Also there is nothing that keeps you from proposing alternative theories of electromagnetism. There was an entire industry doing that in the 1960's and early 1970.
I agree that I am rejecting BB cosmology. There is no doubt about that. In big bang cosmology the period of a wave is not constant over billions of years. What we observe with this wave structure of supergalactic clusters is a regular wave. That alone is evidence against BB cosmology.
However I am not rejecting Maxwell's equations or GR. Quite the reverse. Maxwell's equations were considered to be linear until Einstein. But GR most definitely makes Maxwell's equations non-linear because energetic formations (which is what I am talking about) distort space-time in GR and that makes Maxwell's equations non-linear. I have discussed this with GR experts and they agree that it is so.
twofish-quant said:
Specialists might be wrong. The trouble is that those same specialists are taking a look at your theories, and thinking "total hokum." Any one that has any familarity with GR, (which includes pretty much everyone in this thread that you are arguing with), would pretty quickly point out that standard GR just won't give you the standing waves that you are talking about. Now you are free to propose alternative theories.
Also, if you can do partial differential equations and Fourier transforms, you can get into the game. If you *can't* do PDE's and Fourier transforms, then you are making statements about non-linear waves that have no basis behind them.
Most experts that I have discussed this with agree that there can be gravitational wave structures in GR but in general I don't think that this area is anything like fully developed yet. The solutions we have for GR gravitational wave structures are all rather special cases and not very general cases. This is largely unexplored territory. However my case does not depend on that as it is qite possible the waves are E/M.
Yes, I am familiar with PDE's and Fourier transforms.
twofish-quant said:
They'll produce harmonics at all fractions of the original wavelength, but those harmonics are *NOT* going to be at specific fractions of the original wavelength. What happens with most non-linearities is that they smear out the peaks of any waves that you produce. That's why I'm do interested in the shape of the peak, and why I'm not that interested when you can't give me that information.
You are assuming only a single wave structure in space. When you have a repeating wave (as we clearly do have here) then the harmonics must be exact fractions of the original wave length. This is easily demonstrated on the grounds of symmetry of all the waves. Can you see this?
twofish-quant said:
What happens with early universe calculations is that you insert the behavior of the gas and radiation as what is basically a slightly "non-linear" correction to the basic equations, at that point you get out very detailed power spectrum. The "non-linearity" comes from the gas, dark matter, and radiation pressure.
In my proposal, in the early universe there is no gas , no dark matter, no radiation pressure (unless you count 10^10 light year E/M waves as radiation pressure :-) )
You cannot use BB thinking when evaluating an alternative to it. IMO the early universe only had huge waves of E/M (or whatever) and it is the very harmonics of these that eventually develop atomic structure and particles. I can correctly predict quite closely the scale at which atoms and particles will form (getting 0.5 A for the Bohr radius and 1.4 fm for the nucleon radius / wavelength which are close to observed 0.53 A and 1.2 to 1.3 fm). So you need to understand that all of particle physics is potentially able to be produced from this without dozens of meaningless fitted parameters.
No other theory explains the huge ratios between observed structures in the Universe.
twofish-quant said:
And in any sort of continuous system, that's not how weak non-linearities behave. Now if you have a strongly non-linear system what *does* happen is that the energy gets distributed continuously across all wavelengths according to some power law, but there is nothing that keeps the energy localized on the harmonics.
As I said, the larger wave structures do achieve that. If you have supergalactic waves of 586.24 MLY (million light years) then te harmonics have to be 293.12, 146.56, 73.28, 36.64 MLY because the peaks have to coincide over all the superclusters. This is an important point.
twofish-quant said:
The basic problem with non-linear systems is that you often *can't* truncate the Taylor expansion. Any strongly non-linear system causes the Taylor expansion to explode, which means that any numbers you get doing Taylor expansions are useless. Strongly non-linear systems are dominated by higher order terms in the Taylor expansion.
I am not actually developing a Taylor expansion, What I am saying is that the actual equations of E/M with non-linearity included and the correct wave structure in place will have such a Taylor expansion. It will include a series of terms for the harmonics which will have some negative power of the harmonic number. It will also likely have some other odd expression. That expression I do not know and so must ignore. That means that there is some correction needed in my calculation. But the negative power part where the energy in harmonic h is proportional to the fundamental divided by h^k where k is any constant is sufficient condition to develop the observed pattern in nature.
That is because h1^k * h2^k = (h1*h2)^k. See my web page which shows how the number of paths to any harmonic is an important factor. E.g., the 12th harmonic can be reached in 8 ways: 12, 6x2, 2x6, 4x3, 3x4, 3x2x2, 2x3x2, 2x2x3. My assumption is that all are equal in energy. That follows from h1^k * h2^k = (h1*h2)^k.
twofish-quant said:
I think you are cherry picking data. If you have a strongly non-linear system then you have power across all frequencies so that if you notice something interesting at a given frequency, then you claim a match.
No. There are certain common periods found at all scales in the Universe. If you would have a look at
http://www.cyclesresearchinstitute.org/dewey/case_for_cycles.pdf you would find that this has been reported as so based on thousands of cycles studies by hundreds or thousands of scientific researchers in every scientific discipline. If you don't get this point, you will keep making unfounded accusations of cherry-picking because it doesn't fit your believe system. Read this stuff and be prepared to abandon some of your beliefs. Observation must come before theory. Since that paper was written the table of common cycles has been far extended. The same pattern of common cycles with periods in ratios 2 and 3 is being reported in recent times in e.g. solar physics where 155, 77, 52 and 26 days solar cycles (and more harmonically related) are found. I can give refs if you want. These periods do link by simple ratios to all the other commonly observed cycles in the report.