Cell Language Theory, The: Connecting Mind And Matter

Matrix Mathematics of Genetics 243

“6x9” b2861 The Cell Language Theory: Connecting Mind and Matter

Table 5.2 The hidden regularities of the genetic code revealed by the tensor algebra [158].

Watson–Crick Pairs (Matter) Yin–Yang Pairs (Complementarity) Alphabet (Symbol)

1

2 (2 × 2)-Diagonal matrices of the four nucleotides viewed as two Yin–Yang pairs based on 2)

3 Tensor products of the (2 × 2)-nucleotide matrices shown in 2

[C,A]d⊗[C,A]d⊗[C,A]d = [CCC, CCA, CAC, CAA, ACC, ACA, AAC, AAA]d

[C,A]d⊗[C,A]d⊗[T,G]d = [CCT, CCG, CAT, CAG, ACT, ACG, AAT, AAG]d

[C,A]d⊗[T,G]d⊗[C,A]d = [CTC, CTA, CGC, CGA, ATC, ATA, AGC, AGA]d

[C,A]d⊗[T,G]d⊗ [T,G]d = [CTT, CTG, CGT, CGG, ATT, ATG, AGT, AGG]d

[T,G]d⊗[C,A]d⊗[C,A]d = [TCC, TCA, TAC, TAA, GCC, GCA, GAC, GAA]d

[T,G]d⊗[C,A]d⊗[T,G]d = [TCT, TCG, TAT, TAG, GCT, GCG, GAT, GAG]d

[T,G]d⊗[T,G]d⊗[C,A]d = [TTC, TTA, TGC, TGA, GTC, GTA, GGC, GGA]d

[T,G]d⊗[T,G]d⊗ [T,G]d = [TTT, TTG, TGT, TGG, GTT, GTG, GGT, GGG]d

4 64 Codons

(Of the vertebrate mitochondrial code, different from the standard genetic code

shown in Table 5.4) overlap with the elements of the tensor products of the

nucleotide matrices shown in 3

CCC

Pro

CCA

Pro

CAC

His

CAA

Gln

ACC

Thr

ACA

Thr

AAC

Asn

AAA

Lys

CCT

Pro

CCG

Pro

C AT

His

CAG

Gln

ACT

Thr

ACG

Thr

A AT

Asn

AAG

Lys

CTC

Leu

C TA

Leu

CGC

Arg

CGA

Arg

AT C

Ile

ATA

Met

AGC

Ser

AGA

Stop

CTT

Leu

CTG

Leu

CGT

Arg

CGG

Arg

AT T

Ile

AT G

Met

AGT

Ser

AGG

Stop

TCC

Ser

TCA

Ser

TAC

Tyr

TA A

Stop

GCC

Ala

GCA

Ala

GAC

Asp

GAA

Glu

TCT

Ser

TCG

Ser

TAT

Tyr

TAG

Stop

GCT

Ala

GCG

Ala

G AT

Asp

GAG

Glu

TTC

Phe

T TA

Leu

TGC

Cys

TGA

Trp

GTC

Va l

G TA

Va l

GGC

Gly

GGA

Gly

TTT

Phe

TTG

Leu

TGT

Cys

TGG

Trp

GTT

Va l

GTG

Va l

GGT

Gly

GGG

Gly

Note: The symbol [...]d indicates a diagonal matrix as shown in row 2.

b2861_Ch-05.indd 243 06-11-2017 10:48:37 AM