Dirac 4 x 4 math DNA matrices

RD-blog-number-2717 by Herb Zinser

Dirac 4 x 4 math DNA matrices

The 4 DNA nucleotides 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 Answers › Categories › Science › Biology

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 

Scientists Just Added Four New Letters to the Genetic Code

By Edd Gent -Feb 24, 201925,692

A four-letter alphabet might seem limited, but it’s all nature needed to write the instructions for all life on the planet. News that researchers have added four letters to the genetic alphabet opens the door to new possibilities in synthetic biology, data storage, and even the search for life beyond our planet.

The genetic code at the heart of all living things is elegantly simple. Each half of the famous double helix structure is built from four small molecules called bases: adenine, thymine, cytosine and guanine (ATCG). The order in which they appear determines what the DNA codes for, just like series of zeros and ones at the hearts of computers do.

But now scientists at the Foundation for Applied Molecular Evolution in Florida have successfully

added four new bases to create what they are calling “hachi-moji DNA” (eight-letter DNA in Japanese), doubling the potential information density of genetic code.

This isn’t the first attempt at expanding the genetic code. In 2014, scientists at the Scripps Research Institute in California unveiled DNA with two extra bases, and in 2017 they showed that they could get bacteria to use this code to build proteins that don’t exist in nature. But the new work not only adds an extra two bases, it also sticks more closely to the blueprint used by nature.

The double helix of DNA is held together by hydrogen bonds between complementary bases—A pairs with T and C pairs with G.

The Scripps research used water-repelling molecules that stick together but repel the other bases. These bases need to be sandwiched between natural bases, so it’s not possible to have extended stretches of unnatural bases limiting what they can code for.

Hachi-moji DNA, however, uses hydrogen bonds just like natural DNA to link its two new pairs—S with B and P with Z—and the bases are also capable of appearing next to each other. Because DNA is read in triplets of bases called codons, each of which codes for a particular amino acid, this significantly increases the number of potential codons compared to the previous approach: 512 compared to conventional DNA’s 64.

The experiments also suggest hachi-moji DNA preserves all the key characteristics required to support Darwinian evolution, crucial for supporting life. The bases pair reliably, the structure remains stable regardless of the sequence of bases, and they’ve demonstrated that it can be copied into RNA.

That’s crucial, because while DNA holds the blueprints for an organism, in order for cells to do anything with that information it has to be converted into the mobile, single-stranded molecule RNA, which can act as instructions for protein factories called ribosomes or can help regulate genes.

In terms of potential uses for the new letters, the possibilities are broad. All of nature’s complexity has been created from the 20 amino acids conventional DNA can produce (multiple codons code for the same amino acid). New codons make it possible to code for new amino acids with novel properties, which could enable everything from more powerful medicines and industrial catalysts to more outlandish ideas, like electrically-conducting proteins.

Scientists Just Added Four New Letters to the Genetic Code

singularityhub.com › 2019/02/24 › scientists-just-added…

Feb 24, 2019 – Eight-letter DNA uses hydrogen bonds just like natural DNA to link its … But now scientists at the Foundation for Applied Molecular Evolution in …

Scientists create an
expanded 8-letter DNA genetic code …

sitn.hms.harvard.edu › flash › scientists-create-expande…

Feb 27, 2019 – Life as we know it uses 4 bases called A, C, T, and G. Recently, scientists expanded this alphabet to include 8 bases – 4 natural and 4 artificial ..with David Letter Letterman television comedy bases.

letter DNA

letter D  NA

Letterman David North America

What are the four types of nucleotides of Dirac North America

wiki.answers.com › Wiki Answers › Categories › Science › Biology

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

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 matricesI_2 is the 2×2 identity matrixi=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

.

.

.

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 interrelated ….

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 performance.

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 levels of existential  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

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