Status reports on the Social Science Wars


Dirac 4 x 4 math DNA matrices

RD-blog-number-2717

 

The 4 DNA nucletotides are composed of atoms  and existence in a EARTH LAB  mathematical-physics space/time  continuum.

 

Thus...the primordial atomic of source DNA.

 

 

Nature's atomic bio-physics engineers designed and built

 

 

 

A key feature of DNA are the 4 nucleotides.

 

DNA - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/DNA

Deoxyribonucleic acid (DNA) is a molecule encoding the genetic instructions ... Genetic information is encoded as a sequence of nucleotides (guanine, ..... Since there are 4 bases in 3-letter combinations, there are 64 possible codons ( 4 math exponent 3 = 64)  

 

Nucleic acid - Wikipedia, the free encyclopedia 
en.wikipedia.org/wiki/Nucleic_acid
They include DNA (deoxyribonucleic acid) and RNA (ribonucleic acid). ... and forensic science, as well as the biotechnology and pharmaceutical industries. ... The basic component of biological nucleic acids is the nucleotide, each of which ...

 

 

 

 

What are the four types of nucleotides of DNA

wiki.answers.com › Wiki AnswersCategoriesScienceBiology

Why are there four types of nucleotides in DNA? Over eons of evolutionary history, nature decided that four nucleotides provides the right balance. What are the ...

 

 

Introduction to DNA Structure

www.blc.arizona.edu/molecular_graphics/dna.../dna_tutorial.html
There are four different types of nucleotides found in DNA, differing only in the nitrogenous base. The four nucleotides are given one letter abbreviations as ...

https://student.ccbcmd.edu/~gkaiser/biotutorials/dna/images/DNAbases.jpg

 

What are the four types of nucleotides of Dirac North America

wiki.answers.com › Wiki AnswersCategoriesScienceBiology

Why are there four types of nucleotides in DNA?
ver eons of evolutionary history, nature decided that
four nucleotides provides the right balance. What are the ...

 

 

Introduction to DNA Structure

www.blc.arizona.edu/molecular_graphics/dna.../dna_tutorial.html

There are four different types of nucleotides found in DNA, differing only in the nitrogenous base. The four nucleotides are given one letter abbreviations as ...

 

 

 

Image for dna 4 nucleotides

 

 

Paul Dirac
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Born Paul Adrien Maurice Dirac
8 August 1902
Bristol, England
Died 20 October 1984 (aged 82)
Tallahassee, Florida, USA
Residence United Kingdom
Nationality Switzerland (1902–19)
United Kingdom (1919–84)
Fields Physics (theoretical)
Institutions University of Cambridge
University of Miami
Florida State University
Alma mater University of Bristol
University of Cambridge

 

 

 

 

 

Images for dna 4 nucleotides

 

Dirac Matrices

DOWNLOAD Mathematica Notebook

The Dirac matrices are a class of 4×4 matrices which arise in quantum electrodynamics. There are a variety of different symbols used, and Dirac matrices are also known as gamma matrices or Dirac gamma matrices.

The Dirac matrices alpha_n may be implemented in a future version of Mathematica as DiracGammaMatrix[n], where n=1, 2, 3, 4, or 5.

The Dirac matrices are defined as the 4×4 matrices

sigma_i = I_2 tensor sigma_i^((P))
(1)
rho_i = sigma_i^((P)) tensor I_2,
(2)

where sigma_i^((P)) are the (2×2) Pauli matrices, I_2 is the 2×2 identity matrix, i=1, 2, 3, and A tensor B is the Kronecker product. Explicitly, this set of Dirac matrices is then given by

I = [1 0 0 0; 0 1 0 0; 0 0 1 0; 0 0 0 1]
(3)
sigma_1 = [0 1 0 0; 1 0 0 0; 0 0 0 1; 0 0 1 0]
(4)
sigma_2 = [0 -i 0 0; i 0 0 0; 0 0 0 -i; 0 0 i 0]

 

 

 

 

Dirac Matrices and Feynman's Rest of the Universe

arxiv.org › quant-ph

by YS Kim - 2012
Oct 23, 2012 – Abstract: There are two sets of four-by-four matrices introduced by Dirac. The first set consists of fifteen Majorana matrices derivable from his ...

 

two sets of four-by-four matrices ---> two (Double helix)  ..... four (4 nitrogenous bases)

 

 

 

Super-symmetry physics ... mirrors and parallels suggest 

 

Gamma matrices

From Wikipedia, the free encyclopedia
 
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In mathematical physics, the gamma matrices,  \{ \gamma^0, \gamma^1, \gamma^2, \gamma^3 \} , also known as the Dirac matrices, are a set of conventional matrices with specific anticommutation relations that ensure they generate a matrix representation of the Clifford algebra C1,3(R). It is also possible to define higher-dimensional gamma matrices. When interpreted as the matrices of the action of a set of orthogonal basis vectors for contravariant vectors in Minkowski space, the column vectors on which the matrices act become a space of spinors, on which the Clifford algebra of spacetime acts. This in turn makes it possible to represent infinitesimal spatial rotations and Lorentz boosts. Spinors facilitate spacetime computations in general, and in particular are fundamental to the Dirac equation for relativistic spin-½ particles.

In Dirac representation, the four contravariant gamma matrices are

 \gamma^0 = \begin{pmatrix} 
1 & 0 & 0 & 0 \\
0 & 1 & 0 & 0 \\ 
0 & 0 & -1 & 0 \\
0 & 0 & 0 & -1 \end{pmatrix},\quad
\gamma^1 = \begin{pmatrix}
0 & 0 & 0 & 1 \\
0 & 0 & 1 & 0 \\
0 & -1 & 0 & 0 \\
-1 & 0 & 0 & 0 \end{pmatrix}
\gamma^2 = \begin{pmatrix}
0 & 0 & 0 & -i \\
0 & 0 & i & 0 \\
0 & i & 0 & 0 \\
-i & 0 & 0 & 0 \end{pmatrix},\quad
\gamma^3 = \begin{pmatrix}
0 & 0 & 1 & 0 \\
0 & 0 & 0 & -1 \\
-1 & 0 & 0 & 0 \\
0 & 1 & 0 & 0 \end{pmatrix}.

 

Could the above 4 math matrices  be the precursor to the existence of the 4 nucleotides?
Did Nature have mathematical-physics engineering diagram  (an archtitectural drawing)  that it used  ..... to build the similar configured 4 molecular structures 

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.

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So that was the scientific introduction, now lets start with the basics. Nucleotides are molecules that, when joined, make up the individual structural units of the nucleic acids RNA and DNA. We have
four different nucleotides;
adenine (A),
thymine (T),
cytosine (C) and
guanine (G). To serve some chemistry with this, here are the chemical formulas:

 

 
 
 

Thus many questions exist about the possible relationships between LEVELS of   existence  ...that are inter-related ....
atomic LEVEL   <---->  DNA level.

What information is known?  Let's ASK atomic English language for some possible CLUES about these LINKS...

 

Dirac and  math / bio-math  matrices .......algebra subset alphabet  symbols
D......and.........................ma..rice .......................................
D permutation and --> DNA  maurice Wilkins  

 

Thus we that Darwinian evolution of math matrices resulted in the existence of maurice with DNA affiliations ...... this we see his role in  Nature's larger drama perfomance. 

 

Nature gives us the math word:

Matrices -->  Ma  + (add) rice structures   ...now the math concept of addition and union are similair

Thus the concept symbols  + (addition)  is equivalent to U (union of sets)

 

Thus we see the transfomation from different levls of exstential  format

START with Dirac matrices ( D matrices) 

 

Matrices ---> Ma  + rice  s ................. Darwin transitions to another viewing level

 

Matrices ----> Ma u rice structure ...thus the  Maurice structure below

 

 

Maurice Wilkins
undefined
Maurice Wilkins
Born 15 December 1916
Pongaroa, Wairarapa,
New Zealand
Died 5 October 2004 (aged 87)
Blackheath, London,
United Kingdom
Fields Physics, Molecular biology
Institutions University of California, Berkeley
Known for X-ray diffraction, DNA
Notable awards Nobel Prize in Physiology or Medicine (1962)

 

Maurice Hugh Frederick Wilkins CBE FRS (15 December 1916 – 5 October 2004)[1] was a New Zealand-born English physicist

 

was a New Zealand-born

was a New Zealand-born

was a New Z = atomic number expression   with Max BORN 

Symbolism - Merriam-Webster Online

www.merriam-webster.com/dictionary/symbolism
the art or practice of using symbols especially by investing things with a symbolic meaning or
by expressing the invisible or intangible by means of visible