I have been looking again at the primes within the elements, Primes are mirrored each side of element 45(not a prime) There are 5 primes that do not have a "mirror prime" these are 2,3,5,13,89(89 is mirrored by 1), These 5 primes are the first primes in the Fibonacci sequence and the only ones in the periodic table. primes are only "random" outside our naturally occurring elements/d. expansions within expansions, This mirroring effect carries on beyond hydrogen Z1 Z89(naturally occurring elements), Could Primes follow this mirror effect beyond our "physical universe", primes are not random within our material universe Z1 TO Z92(Naturally occurring elements) 45 degrees is an eighth of a circle(fibonacci numbers spiral). There is also one other prime element that sticks out without a mirror prime element that is 41, its mirror would be 49 which is a prime times itself 7x7=49 Please Register or Log in to view the hidden image!
You haven't said anything about the elements. All you have said is that there are a lot of ways to add two primes to 90. You haven't even established that this is an exceptional value. It's only a modestly exceptional value. For example there are 905 ways to add two primes to 30030 as compared to your 9 way to add two primes to 90. http://oeis.org/A061358 http://oeis.org/A045917
Finely! You showed the one of many correlations between formulae describing Nature and sets of prime numbers chosen randomly or partially randomly or as the finite sets of “tangent” primes. It is possible that prime numbers are associated with exclusion principles because the states that result from selection rules are as unique as the prime numbers. Many of such correlations are described in P. Plichta book concerning the prime number cross. A few of such correlations are described in my book (see Paragraph “How to group natural numbers to obtain a special number theory consistent with the Scale-Symmetric Theory” in Chapter “Fractal Field”). As an example, consider following series of prime numbers N(d = 0, 1, 2, 4, 8, 16, 32, 64, 128) = 5 + d 6 ………….(1) This formula leads to following series of prime numbers N = 5, 11, 17, 29, 53, 101, 197, 389 and 773. On the other hand, the d numbers appear in the Titius-Bode law concerning the solar system. Recapitulation Nature is quantized. For example, the Quantum Mechanics is dual, discrete, probabilistic, non-local (i.e. superluminal) and not universal (there is the correct classical General Relativity as well). It suggests that prime numbers should be very important in formulae describing Nature. And it is but due to the tremendous arrogance of many, such science frequently is ignored. The Scale-Symmetric Theory shows that the d numbers, which are indirectly associated with prime numbers (see formula (1)), are directly associated with the lacking part of ToE (it follows from a new symmetry), with internal structure of baryons, with evolution of the Universe and solar system and with the Chaos Theory (see my book). Moreover, we know that the numbers 8 (eight rays containing prime numbers) and 24 (the first circle of the prime numbers cross contains twenty-four succeeding natural numbers) are characteristic for the Ramanujan modular equations. The Scale-Symmetric Theory shows the physical meanings of the Nature-primes correlations but many of such correlations are still not good understood. Of course, there probably appear some random correlations without a physical meaning and ToE should show which correlations are meaningless.
I realize there are many ways to look at the "primes" many patterns can be found, But I am interested in what I should perhaps call "physical primes", Which relate to matter z1 to z92(protons/electrons per element, Within these primes every prime has a mirror element other than fibonacci primes, For a long time I have been looking at symmetry of the elements, My math is not very good, so I tend to use simple diagrams to try and show my thoughts(hoping others can expand upon them). I believe elements/extended periodic table can help explain the internal structure of matter/particles using a new form of symmetry(fractal symmetry). I am still trying to understand how these "mirror primes" fit in, To me they represent "expansions", I also believe the "fibonacci primes" have a part in turning these "tables/quarks?" I used these extended table to try and explain the make up of protons/top quarks. w-z bosons. Please Register or Log in to view the hidden image! A top quark has 173x the mass of a proton. 173 billion electron volts. Each opposing elements have 173 protons (combined mass 173 GeV). When these tables/quarks join they rebalance out to 172 x 172 +1 It is the joining of these tables/quarks that create this composite field of the top/anti quark(173 by 172). Top quarks/anti top quarks 173GeV, When opposing elements/anti elements join each opposing elements add to 173 protons, proton/electron numbers, protons 1 GeV, (1 GeV = 1 billion eV) is almost exactly the energy equivalent to the mass of the proton (E=mc2) Top quarks 173 GeV, As I think the Higgs boson may be from another particles decay (top quarks), I wondered how 126 GeV fit into tables/quarks, Within these tables i had different thoughts on palladium 46, and Palladiums empty valence shell(shown in pink), to me it was a "weak point, quasi hole". What normally happens at weak points(snap/break), 46+46+80=172, 46+126=172 If this happens the table/quark splits at element 46 leaving a block of 126 (126gev Higgs) But then there are 2 weak points, 2 blocks of 46/46=92 Z boson 91.3gev ? Also centre block(46 to 126) 80= W boson 80 gev I am expecting/hoping a fourth generation particle/neutrino of 45/46 GeV will soon be found at CERN. With these tables/quark/strings I believe may be a way to tie the atomic into the quantum. http://alpha-omega-sunshaker.blogspot.co.uk/2014/12/top-quark-condensate.html
92 seems like an arbitrary choice when technetium (Z=43), promethium (Z=61), polonium (Z=84), astatine (Z=85), radon (Z=86), francium (Z=87), radium (Z=88), actinium (Z=89), and protactinium (Z=91) all have no isotopes with half-lives consistent with the age of the Earth. Thus these elements are only found on Earth in the products of nuclear decay, fission and activities of man. While plutonium-244 (Z=94, N=150) has a half-life of 0.080 billion years which makes it feasible that primordial plutonium atoms still exist on Earth. Also, \(90 \neq 92\) which is an insurmountable problem for your justification. If you graph a count of the ways 2 primes can sum to 2n, you will find the general pattern that when n is a multiple of 15, the count is usually higher than its neighbors. The effect is roughly proportional to \(\prod_{ p > 2 \wedge p \in \mathbb{P} \wedge p | n } \frac{p -1 }{p-2} \) which is a better approximation for large values of n, so for large multiples of 15, this is roughly 8/3. The effect gets stronger as more small odd primes are also factors of n, as in the series 3,15, 105, 1155, 15015. Here I estimate how many ways there are to sum to 2n based on this formula. \(\begin{array}{r|rrr} n & 2n & \sum_{p, q \in \mathbb{P}, p \leq q} [ 2n = p + q ] & \textrm{estimate}\\ \hline \\ 14 & 28 & 2 \\ 15 & 30 & 3 & 5 \\ 16 & 32 & 2 \\ \hline \\ 29 & 58 & 4 \\ 30 & 60 & 6 & 9 \\ 31 & 62 & 3 \\ \hline \\ 44 & 88 & 4 \\ 45 & 90 & 9 & 10 \\ 46 & 92 & 4 \\ \hline \\ 59 & 118 & 6 \\ 60 & 120 & 12 & 13 \\ 61 & 122 & 4 \\ \hline \\ 74 & 148 & 5 \\ 75 & 150 & 12 & 12 \\ 76 & 152 & 4 \\ \hline \\ 89 & 178 & 7 \\ 90 & 180 & 14 & 17 \\ 91 & 182 & 6 \\ \hline \\ 104 & 208 & 7 \\ 105 & 210 & 19 & 20 \\ 106 & 212 & 6 \\ \hline \\ 1154 & 2308 & 34 \\ 1155 & 2310 & 114 & 122 \\ 1156 & 2312 & 35 \\ \hline \\ 14999 & 29998 & 233 \\ 15000 & 30000 & 602 & 658 \\ 15001 & 30002 & 261 \\ \hline \\ 15014 & 30028 & 237 \\ 15015 & 30030 & 905 & 896 \\ 15016 & 30032 & 225 \end{array}\) The electron volt and the masses of protons and quarks are incommensurable quantities. The top quark is closer to 173.21 GeV (but isn't yet known with enough precision to fix the last three digits) and 184.6 times the proton mass.
I know there is still much to work out, but found this pattern through the elements interesting, Has you have noticed each mirror prime(each side of 45)adds to 90, But it does not stop there, take next prime z97 which is 7 more than 90, so starting again at 7, 11, 13, 17, 19, 23, which then mirror 97, 101, 103, 107, 109, 113, Each prime element above z89 within table, relates to a lower prime element once you subtract the 90, 97-90=7, 101-90=11, 103-90=13 etc, for some reason which i have not yet fully figured out, this does not apply to two elements within this table 41 should be mirrored by 49, but 49 is not a prime but is a prime times a prime 7x7=49 but prime z131-90=41 the other is 167, 167-90=77 which again is a prime times a prime 11x7=77, 77 though not a prime is mirrored by 13 (a fibonacci prime which do not mirror primes). Overlapping cycles(90), looking at some early primes and thought what happens when you add 90 to a prime in most cases you get a prime, again when adding 90 to certain primes I do not get a prime but the result is a prime times a prime, examples primes 71 +90=161 which is 7x23=161 prime x's prime 79 +90=169 which is 13x13=169 prime x's prime 97 +90=187 which is 11x17=187 prime x's prime 113 +90=203 which is 7x29=203 prime x's a prime 127 +90=217 which is 7x31=217 prime x's prime 131 +90=221 which is 13x17=221 primex's prime 211 +90=301 which is 7x43=301 again prime x's prime but if you then take away all multiples of 90 from all above you are again left with a prime, 301-3 x 90=31 a prime. Primes 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277 281 283 293 307 311 313 317 331 337 347 349
That's the basis behind the the 2000+ year-old Sieve of Eratosthenes, the most efficient way to find all the small primes. Modulo a product of small primes, the distribution of larger primes is not even. There are no primes larger than 2 which are equal to 0 modulo 2. In fact, 2 is the only prime that is. There are no primes larger than 6 which are equal to 0,2,3, or 4 modulo 6. 2 and 3 are the only primes that are. There are no primes larger than 30 which are equal to 0,2,3,4,5,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27 or 28 modulo 30. 2, 3 and 5 are the only primes that are. Thus all primes larger than 2 are equal to 1 modulo 2, all primes larger than 6 are equal to 1 or 5 modulo 6, all primes larger than 30 are equal to 1,7,11,13, 17, 19,23, or 29 modulo 30, etc.
This doesn't seem to be related (or only weakly) with anything like a predictive idea related either to chemistry or atomic structure. There are lots of applications I can think of that are similar to this analysis that might actually yield a better organization to particle physics, but it wouldn't resemble anything like this worthless pile. Does this idea predict ANYTHING useful related to something other than numbers? Numbers go on and on, but due to the way atoms are put together and the limited speed of light, numbers of nucleons eventually become too large to remain stable. This is only one difference between the methods of your analysis and physical reality.
No it doesn't. That is the problem with numerology (besides that it is bullshit), you have to fudge so many numbers to make the appearance of a relationship.
