# 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

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 ...

### What are the four types of nucleotides of Dirac North America

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
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

# Dirac Matrices

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

The Dirac matrices are defined as the matrices

 (1) (2)

where are the () Pauli matrices, is the identity matrix, , 2, 3, and is the Kronecker product. Explicitly, this set of Dirac matrices is then given by

 (3) (4)

### 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

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

.

.

.

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;
thymine (T),
cytosine (C) and
guanine (G). To serve some chemistry with this, here are the chemical formulas:

• ### The Dirac equation

fias.uni-frankfurt.de/~brat/LecturesWS1011/Lecture10.pdf
File Format: PDF/Adobe Acrobat - Quick View
or unitary transformations of (10). Accordingly, the αk, β must be at least 4x4 matrices. In Pauli-Dirac standard notation (with 2x2 submatrices) these are given by ...
•

### 4 x 4 matrices in Dirac parametrization: inversion problem and ...

arxiv.org › hep-th

by VM Red'kov - 2007 - Cited by 2 - Related articles
Sep 22, 2007 – In the given parametrization, the problem of inverting any 4 x 4 matrix G is solved. Expression for determinant of any matrix G is found: det G ...

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

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

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

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

Maurice Wilkins

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

• ### Atomic number - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Atomic_number
The atomic number, Z, should not be confused with the mass number, A, which ... Atoms having the same atomic number Z but different neutron number N, and ...
•

### Z (Atomic number) - Medical Dictionary - The Free Dictionary

medical-dictionary.thefreedictionary.com/Z+(Atomic+number)
number /num·ber/ (num´ber) a symbol, as a figure or word, expressive of a certain value or a specified quantity determined by count.
•

Abvanced percptions of periodic atomic table atomic geography maps  .... New Zeal --> Zealand

### Z (Atomic number) - The Free Dictionary

www.thefreedictionary.com/Z+(Atomic+number)
The number of protons in an atomic nucleus. atomic number. n. (Physics / General Physics) the number of protons in the nucleus of an atom of an element.