number level

[AntonioLao]

Energy levels were the subjects of intense serious investigations since the beginning of the quantum revolution where and when Jakob Johann Balmer (1825-1898 ) a Swiss mathematician and schoolteacher discovered a simple empirical formula that precisely describe the visible line spectra of the hydrogen atom. He was 60 years old at the time of his discovery. The five visible spectral lines became known as the Balmer series. Coincidentally, 1885 was also the year Niels Bohr was born. Bohr was a Danish physicist who was awarded the Nobel Prize in 1922 for his theoretical model of energy levels for the orbital angular momenta of atomic electrons of the simple hydrogen atom. The energies observed for all quantum jumps between stationary levels of electrons exactly matched the Balmer series. In Angstrom units for wavelengths these are 6563, 4861, 4341, 4102, 3970 rounded to the nearest whole numbers. These are generated from the empirical formula 3646n/(n-2). In this case 3646 is simply a multiplicative factor derived from the experimental apparatus. Therefore, the key factor is really n/(n-2) and for n=3, 4, 5, 6, and 7 the following rational numbers emerged: 9/5, 4/3, 25/21, 9/8, and 49/45.

Later spectral analyses discovered 4 more series, named for each discoverer. The UV Lyman series is given by n/(n-1) and for n=2, 3, 4, 5, and 6 the corresponding rational numbers are 4/3, 9/8, 16/15, 25/24, and 36/35. The IR Paschen series is given by n/(n-3) and for n=4, 5, 6, 7, and 8 the corresponding rational numbers are 16/7, 25/16, 4/3, 49/40, and 64/55. The IR Brackett series is given by n/(n-4) and for n=5,6,7,8, and 9 the corresponding rational numbers are 25/9, 9/5, 49/33, 4/3, 81/65. The IR Pfund series is given by n/(n-5) and for n=6,7,8,9, and 10 the corresponding rational numbers are 36/11, 49/24, 64/39, 81/56, and 4/3. It can be noted easily that these 5 series share a common number level of 4/3. Moreover, it can be predicted that if there are more series beyond the radio spectra this rule would still apply the 6th term of the 6th series would be 4/3. The 7th term of the 7th series would be 4/3, the 8th term of the 8th series would be 4/3, ad infinituum. The physical equivalent of this simple algebraic expression of number levels is that the numerator is related to the square of the kinetic energy while the denominator is equivalent to the product of the Hamiltonian energy function and the Lagrangian energy function. The constant of 4/3 progressively appears as the sequence increases. This implies that the square of energy of the quantum vacuum fluctuations approaches 4/3 as both kinetic energy and potential energy approach infinity. The constancy of this number level validates the principle of holism that asserts the whole is always greater than the sum of its parts.

[MJA]

Nature is truly immeasurable AL, But for some reason science stubornly continues on its uncertain theoretical Ways. Much like you.

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MJA

[AntonioLao]

MJA, from your judgmental remark I can sense that you are neither a scientist nor a mathematician by choice or by profession.

[SteveA]

This agrees somewhat with some of my views - information in terms of 3 attributes (similar to dimensions) arises in time as transitions between 4 states. If those 4 states were "random" then there would be a 1/4th chance of duplication and such a more fundamental version of time would not be seen (unless we had a system of measurement with 5 attributes, which similarly requires transitions between 6 to see in time etc. etc. etc.)

Observations of change over time occur from an observational perspective with at least one attribute/dimension used to convey time (of course we'd only see a lower dimensional form when making an observation, despite what actually may exist)

Here are a couple posts you might like where I was trying to more solidly lay out what I think is sort of the prototype of the fundamental form of deterministic space through which conscious experiences move (the "computation space" for consciousness) http://www.toequest.com/forum/consci...html#post99442

[AntonioLao]

This agrees somewhat with some of my views

We need to find the opportunity to collaborate soon. My objective is really to extract energy from the vacuum by ways of cold fusion.

[SteveA]

We need to find the opportunity to collaborate soon. My objective is really to extract energy from the vacuum by ways of cold fusion.

I think mine is rather similar - to figure out what the computer that runs all programs looks like

Of course there could be undetermined components that provide an available "entropy" to the design and I assume that's an area with some potential commonalities with your pursuit. I do assume there's some equivalent source of free energy *looks around at the world* though I recognize that a more useful form of this could be in working with chaotic systems.

Consider this - if we interact a sinusoid with a non-linearity we generate harmonics. If there is the equivalent of a maximum rate of information then we can alias harmonics back down to lower frequencies due to passing by the Nyquist frequency. (Similar to heterodyning a radio signal but for discrete times we can't pass the Nyquist frequency or half the "sample" rate, so a physical process with some directed non-linear components could potentially allow for higher frequency components to be moved to more manageable wavelengths - though I normally prefer to skip working with continuous properties when possible - a resonant system could potentially generate large enough divergences from a nominal to allow an efficient non-linear interaction to occur)

As usual, I tend to ramble, but I think you'll likely see that I'm not really rambling much (I tend to work on very high-level abstract areas until I see something interesting and then try delving in)

[SteveA]

Here are just a few considerations I'd like to toss out regarding such an energy source:

1) With respect to humanity, would such a source currently prove beneficial or detrimental?

2) With the apparent interests in global domination of energy resources, would such a source be "tolerated" to compete with existing limited channels of supply? (i.e. with the current system it's likely someone would just pop out with claim to have already patented such methods and then you'd be denied using it and it would be tossed off to the side)

So basically I'm thinking there are other more important issues that need to be resolved (and I think the energy issues are largely intentional as well as a lot of economic and military ones as well - I'm interested in finding out the whys behind how things are and seeing what, if anything, should be done to resolve those types of issues. I believe the rest of everything falls into place after that. Yes, those are rather large views and issues, but they seem the most important and worth the attention and effort).

[MJA]

MJA, from your judgmental remark I can sense that you are neither a scientist nor a mathematician by choice or by profession.

With philosophy being the science of truth and = being the mathematical equation of the truth of all things, TOE., or UFT., I would call myself both. Nature and the reduction of E=mc2 led me to the solution of this forum's Quest.
Be One,

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MJA

[AntonioLao]

MJA, since you are now mixing apples and oranges I felt very sorry for you that you will be left holding an empty bag and that is to say zero equal zero whether you see it from the right or from the left of the equation regardless how philosophers keep arguing about it.

[MJA]

MJA, since you are now mixing apples and oranges I felt very sorry for you that you will be left holding an empty bag and that is to say zero equal zero whether you see it from the right or from the left of the equation regardless how philosophers keep arguing about it.

While some like yourself grasp at the complexities of nature via the mathematical tools of equations, which you are obviously very very good at; it has led you to where, but to only more complexities and greater confusion, am I right? The truth AL, TOE., UFT., is quite simply the other Way.
Equal is much more than the empty bag that you claim I grasp, it is the truth of me. And once One knows Oneself, One knows equally All.
Nature's absolute is,

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MJA

And furthermore: TOE unifies not only philosophy and mathematics, (your mixture of apples and oranges) but everything. Justice, Religion, God, ... Everything!