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Brain properties of Dirac matrices


The human brain bio-computer is a symbolic processor.  Words, math equations, chemistry formula are symbolic optical input data streams to  the eye /iris / optical nerve and the brain photon processor.
Thus we have a process......EXTERNAL  symbolic data in a  science or math   textbook printed on cellulose paper  becomes  INTERNAL symbolic life in a brain cell.

The various systems inside the human body and brain are described in biochemistry college textbooks and elsewhere.   Subject areas include:  genetics, molecular cell biology, neuroscience, etc.
All of these  areas seem to  focus upon the physical biology mechanisms of Nature.   This is good.

Our approach is to focus upon the body/ brain symbolic machine and the nouns, verbs, adjectives, alphabet letters, math equations, etc ...... that comprise the symbolic machine AND are commands OR data within that bio-computer processor.   

Thus we have 2 types of existence..... physical biology / nervous system    AND the symbolic system of English languages, algebra languages, Greek alphabet and science symbols, etc. 

Thus we can think of the parallel between copper-wire computers and biology computers.

Let's look at some symbols that may exist in your brain. 

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))
rho_i=sigma_i^((P)) tensor I_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]
sigma_1=[0 1 0 0; 1 0 0 0; 0 0 0 1; 0 0 1 0]
sigma_2=[0 -i 0 0; i 0 0 0; 0 0 0 -i; 0 0 i 0]


A total of 16 Dirac matrices can be defined via


for i,j=0, 1, 2, 3 and where sigma_0=rho_0=I (Arfken 1985, p. 212). These matrices satisfy

1. |E_(ij)|=1, where |A| is the determinant,

2. E_(ij)^2=I,

3. E_(ij)=E_(ij)^(H), where A^(H) denotes the conjugate transpose, making them Hermitian, and therefore unitary,

4. Tr(E_(ij))=0, except Tr(E_(00))=4,


The 16 Dirac matrices form six anticommuting sets of five matrices each (Arfken 1985, p. 214):

1. alpha_1, alpha_2, alpha_3, alpha_4, alpha_5,

2. y_1, y_2, y_3, y_4, y_5,

3. delta_1, delta_2, delta_3, rho_1, rho_2,

4. alpha_1, y_1, delta_1, sigma_2, sigma_3,

5. alpha_2, y_2, delta_2, sigma_1, sigma_3,

6. alpha_3, y_3, delta_3, sigma_1, sigma_2.




Thus ...let's consider the brain symbolic machine contents ...  16 Dirac matrices   

in the context of base 16 hexadecimal ......as used by copper-wire symbolic machines  AND the parallel human  ... oxygen atomic mass 16 bio-computer  symbolic machine.

How does this HEX feature affect the brain?

Now HEX can be good or nasty.

Let's look at brain data processing history and the output messages.

What is a hex

wiki.answers.com › ... › Supernatural and the Occult
... Religion & Spirituality > Supernatural and the Occult > What is a hex? ... Here are some hex removal spells

  • hex - definition of hex by the Free Online Dictionary, Thesaurus and ...

    Definition of hex in the Online Dictionary. Meaning of hex. ... Noun, 1. hex - an evil spell; "a witch put a curse on his whole family"; "he put the whammy on me" ...
  • Hex Synonyms, Hex Antonyms | Thesaurus.com

    Synonyms for hex at Thesaurus.com with free online thesaurus, antonyms, and definitions. ... Definition: curse, spell ... whammy, enchantment, evil eye, hexing, hocus-pocus, jinx, magic, magic spell, mumbo jumbo, sorcery, voodoo, whammy ...
    In mathematics and computer science, hexadecimal (also base 16, or hex) is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct ...
  • thesaurus.com/browse/voodoo
    Synonyms for voodoo at Thesaurus.com with free online thesaurus, antonyms, and definitions. ... enrapture, ensorcell, enthrall, entrance, fascinate, grab, hex, hypnotize, inveigle, kill*, knock dead, knock out, magnetize, ... Definition: curse, spell ...
    In mathematics and computer science, hexadecimal (also base 16, or hex) is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct ...
  • To put a hex on | Easy to understand definition of to put a hex on by ...

    www.yourdictionary.com › Dictionary Definitions
    to put a hex on definition: To put a hex on mean thats you do something, such as cast a spell or use a voodoo doll, to curse someone to have bad luck. (verb) An ...
    Essentially, Base 16 encoding is the standard case- insensitive hex encoding and may be referred to as "base16" or "hex". A 16-character subset of US-ASCII is .
  • Curse - Wikipedia, the free encyclopedia

    A curse (also called a jinx, hex or execration) is any expressed wish that ... curses comprise a significant proportion of the study of both folk religion and folklore.

    Thus we see the evolution of hex to hexadecimal.  What are the deeper levels of this brain computer subconscious signal?

    Let's look..... at out atomic brain bio=computer with our LU  = Logical Unit = LUNG processor with atomic symbol O = oxygen 16 (rounded number).

    Now we have inside your brain symbolic machine ...... 16 Dirac matrices. 
    Let's look at this  ....... sequence of symbols ... command or data?

    Intially  it  was data inside your bio-computer.

    What happens if Nature switches to nasty HEX mode for base 16  ... oxygen breathing INTELLECTUAL traitors?


    Properties of the Dirac Matrices

    Properties of   heaD   coMa 

      rope ties              Dirac Matrices

    Properties of the      rac   tric

     Properties of the     rackets tricks

     Properties of the Dirac Matrices

    Good, R. H. -->good RH factors in the blood symbolic life ....biology  RH = Record Hexadecimal message system  of the author

    Reviews of Modern Physics, vol. 27, Issue 2, pp. 187-211

    Thus we the problem in year 2013  ...as Alzheimer's and other brain problems continue.

    Perhaps, looking at the pieces of the puzzle outlined above  ....  new angles ... new views  ..... will help us explore these brain illnesses and find a symbolic medicine for the brain symbolic machine.

    The brain is computer.  It's like a COBOL computer program. Programs have bugs . Programs abend.

    This human brain computer BUG feature is well-known.

    Ebenezer Scrooge - Wikipedia, the free encyclopedia

    Ebenezer Scrooge encounters "Jacob Marley's ghost" in Dickens's novel, A Christmas Carol. Created by ... Scrooge's catchphrase, "Bah, humbug!" is often used ...

  • The Metamorphosis - Wikipedia, the free encyclopedia

    Jump to Gregor Samsa‎: After the metamorphosis, Gregor becomes unable to work and a ... appears to derive partly from literary works Kafka had read.
  • Character Analysis of Gregor in "The Metamorphosis” by Franz Kafka

    www.articlemyriad.com › LiteratureFiction
    Dec 7, 2011 – In Franz Kafka's "The Metamorphosis”, the transformation of the character Gregor from a man to one of the most repellent insects, a cockroach, ...

    List of Bugs Bunny cartoons - Wikipedia, the free encyclopedia

    This is a list of the various animated cartoons featuring Bugs Bunny. He starred in 167 theatrical animated short films of the Looney Tunes and Merrie Melodies ...

    Bugs Moran - Wikipedia, the free encyclopedia

    George Clarence Moran (August 21, 1891 – February 25, 1957), better known as Bugs Moran, was a Chicago Prohibition-era gangster. He moved to the north ...

    Chicago Prohibition --> Pro + hi + bit + io +n --> high bit  input/output ??? 

    So much research work  to be done in bio-computers.