tag:blogger.com,1999:blog-10614348.post116194641737301331..comments2024-01-22T11:26:37.599-08:00Comments on TGD diary: Is dark matter warped?Matti Pitkänenhttp://www.blogger.com/profile/13512912323574611883noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-10614348.post-1162826102064163762006-11-06T07:15:00.000-08:002006-11-06T07:15:00.000-08:00I looked at D-D model (I think I have years ago ha...I looked at D-D model (I think I have years ago had some communication with D:s) for genetic code. I have also proposed a model in which base 4 plays a key role. This is based on observation that first nucleotide represents the most weighty 4-digit, second less weighty and third least important one. This is consistent with almost symmetries of genetic code with respect to 3 nucleotide. I did not formulate this notion in terms of 5-adicity since it looks me somewhat un-natural because the digit has only 4 values (most naturally 0,1,2,3) rather than 5 values (0,1,2,3,4).<BR/><BR/><BR/>One of the three models for genetic codes that I have proposed is based on the observation that the number of primes smaller than 64 is 18. Adding to this 0 and 1 gives 20, the number of aminoacids. <BR/><BR/>This observation led to a number theoretical model for genetic code maximizing number theoretic information measure defined by number theoretic variant of Shannon entropy. The model assigns to number characterizing DNA codon prime p <64 or number 0,1 characterizing aminoacid. <BR/><BR/>Information measure is Shannon entropy with log(probability) replaced with log(p-adic norm of probability): this gives a well-defined and additive information measure assuming that probabilities are rationals or algebraic numbers. The king idea is that now entropy can be also negative and thus means information! <BR/><BR/>In the case of entanglement entropy the interpretation as information is natural: entanglement carries indeed information as is obvious from the fact that people are busily constructing quantum computers!<BR/><BR/><BR/>Model is able to reproduce genetic code and also its small variations.<BR/><BR/>MattiMatti Pitkänenhttps://www.blogger.com/profile/13512912323574611883noreply@blogger.comtag:blogger.com,1999:blog-10614348.post-1162821001566817552006-11-06T05:50:00.000-08:002006-11-06T05:50:00.000-08:0011 06 06Oh Matti:Thanks for the responses. I just ...11 06 06<BR/><BR/>Oh Matti:<BR/>Thanks for the responses. I just updated my post with a note about 5-adic physics and DNA strands. It turns out that there is a relationship between 2adic distances between codons... Here is the title and link to the article, as you may really enjoy it!<BR/><BR/><A HREF="http://arxiv.org/abs/q-bio.GN/0607018" REL="nofollow"><B>"A p-Adic Model of DNA Sequence and Genetic Code", by Dragovich and Dragovich.</B></A><BR/><BR/>OK, I must now go to bed, so have a great week:)Mahndisa S. Rigmaidenhttps://www.blogger.com/profile/08507292526980604567noreply@blogger.comtag:blogger.com,1999:blog-10614348.post-1162818862183938542006-11-06T05:14:00.000-08:002006-11-06T05:14:00.000-08:00I visited in Kea's blog but did not find anything ...I visited in Kea's blog but did not find anything about dark matter. I wrote a little comment to your blog about Zeta and p-adics in TGD framework.<BR/><BR/>I have not thought about 3-adics and language. I have however thought about possibility of mapping 64 genetic codons (consisting of 3 base pairs!) to phonemes as something analogous to representation of DNA in terms of aminoacids. <BR/><BR/>The fact is that trialities fill archaic thinking: think only fairy tales, holo trinity, etc... This might relate to 3-adicity as next level in cognitive hierarchy after the most primitive 2-adic level which I tend to assign to our engineering achievements;-).Matti Pitkänenhttps://www.blogger.com/profile/13512912323574611883noreply@blogger.comtag:blogger.com,1999:blog-10614348.post-1162816489406111512006-11-06T04:34:00.000-08:002006-11-06T04:34:00.000-08:0011 06 06Matti:I was just thinking about you as I w...11 06 06<BR/><BR/>Matti:<BR/><A HREF="http://mrigmaiden.blogspot.com/2006/11/fractional-finger-games-for-2-adic.html" REL="nofollow">I was just thinking about you as I wrote my latest post</A>. It is an extension of the finger counting games, but this time I invoke linguistics. You have likely come to this conclusion already, but I believe that the most basic spoken language has a 3-adic basis, and that our perception of mathematics and nature shapes our language use and formation. I will develop this idea further, but let's just say that we now see applications for p-adic formalism in not only the sciences, but also linguistic analysis AND accounting... :) Just a few thoughts, but they need to be further developed:) Have a nice day.<BR/><BR/>BTW: See <A HREF="http://kea-monad.blogspot.com" REL="nofollow">Kea's latest blog post</A> for a discussion on dark energy that she started on Cosmic Variance. I am quite curious as to your take:)Mahndisa S. Rigmaidenhttps://www.blogger.com/profile/08507292526980604567noreply@blogger.com