Chapter 7---- Genetics and Relativity

 

Title: Biological Relativity and Species-Specific Spacetime: A Weyl-Invariant Perspective on Homologous Structures

Introduction :  This  chapter  argues  that  Genetics can be  converted  in to Relativistic Physics . There is  Biological relativity.  Species is Relative and metric of spacetime  depends on  species'  own scale.

Mandelism :

a. Genetics = Algebra = Geometry

b .  Geometry  ===> relativistic transformation.

c. Therefore Genotype and anatomical forms could transform under different relativistic frames , theoretically.

Take Mendelian law of genetics    , where dominant characteristics  T is  ( a)   and  recessive characteristics  t is (b)   then F1  a2+b2  and  F2 is 

TT + Tt +Tt + tt  =  a2 +2ab+b2 

So, Mendelian genetics is algebra 

Now we transform  this  algebra  to geometry . Then we clearly can see  why T is dominant and t is recessive characteristics . If  (Tt )  is a parallelogram, than length T is longer than the  length t .

hence T > t = b > a. 

Then Genetics is geometry  . therefore it is subjected to the Forces of Relativity .

Homologous bones :    

Homologous bones are    same bones only deferent in length and shape  that exists in the same place in different species 

Think of the forearm (  Humorous + Radius ) of a gorilla and a man .

Gorilla forearm and human forearm are the same bones  . Only Gorilla's forearm is longer than the human's .

 The idea is this ,  suppose we accelerate a  Gorilla arm  to the speed of C  it will get length contracted  by relativity  and will appear as  a human arm  to the observer (cat).  So hypothetically  Anatomy of a   species  can be changed to  other forms  by Relativistic effect.

Therefore, Relativistic biology exists.

Human tail = monkey tail . ( 1-- v2/c2 ) 1/2 

Human tail got length contracted 

Genetics and Spacetime:

Why law of Genetics  is a square law  ( a2+2ab+ b2 ) ? Because  Gravity is a Square law , F= Gm / R2

Law of Genetics = Law of spacetime 

Thus , Spacetime   can influence  Chromosomes or Genes.

 

Genetic mutation   = f ( spacetime)

 Generic mutation = Relativistic =  Depends on observer's frame

Biological  Length contraction :

The monkey has  a long tail while the ape has a very short  or vestigial tail.

Now what is the cause of this Biological length contraction?

The ape  and  the monkey exist in deferent frame of reference . Genetic mutation  and vestigial organs are result of relativity of space time .

Now we  move forward to Weyl invariance  . Scale and Clock  are  different in different   frames of different species.

Weyl Invariance  in Biology  :

Weyl invariance in theoretical physics posits that the laws of nature remain unchanged under local rescaling of the metric tensor

 Gmn (x) ==> Omega ^2 (x) Gmn(x)

we extend this concept metaphorically to biology: each species is embedded within a Weyl-invariant "bio-metric," a species-specific scaling of biological space and time. Under this framework:

• The organism defines its own baseline geometry (mass, shape, cognition).

• All other organisms are perceived as geometric distortions of that baseline.

• From the perspective of any species, it is the "standard observer."

Thus, just as no inertial frame is preferred in relativity, no species is ontologically privileged in biology. Every species experiences its world in a way that makes itself the reference organism—effectively, it perceives itself as "human" and others as more or less alien.

This species-centric perception may extend into the domain of cognition. If each organism’s nervous system is adapted to process environmental input according to its own "biological metric," then selfhood itself is relative. For example, a bat's echolocation creates a spacetime experience fundamentally different from a primate’s visual-spatial world.

We hypothesize that subjective experience—consciousness—emerges within the framework of this biological spacetime. Weyl-biological invariance suggests that each species' mind is not just a function of the brain, but a projection within its own developed  metric of reality.

In rat's frame of reference   , the way it measures  it's own spacetime and gravity  , it is a human.  And conversely it sees  humans as giant rats.  it lives in the land of the gigantic rats.  

This type of idea reminds us of Swift's  Gulliver's Travels. 

Atomic clocks  ticks in different rate in different biological frame.

Atomic clock ticks faster in rat's frame than in human frame 

• Different species experience reality using their own internal “ruler” (length/time scale).

• That is, the spacetime metric gets rescaled differently for each species.

• This suggests a species-dependent Weyl transformation.

In Weyl language: 

  Gmn(x)  ==> omega ^2_species (x) Gmn (x)

So each species "sees" the universe through a different gravitational lens — adjusting lengths, masses, and times relative to their biology.

A===> A + d Log Omega (x)

Nature’s rule: to maintain consistent physics under biological relativity, fields must transform to match perception

 The author is compelled to think  that Dr. Weyl  mistakenly thought A (mu)   is Electromagnetic field  while it is actually Biological force field.

In this image   human  leg is longer than  dog leg.  

Weyl invariance :    

 Length ( human)  = Omega  .  Length (dog)

when  Omega < 1  ,   Scale shrinks 

Length  (dog) = Omega . Length (human)  

When Omega > 1 ,  Scale stretches.

Weyl Invariance ==> [ Human <===> Dog.]

Weyl invariance is the physics of biological Relativity .

Every species   has it's  own reference point of Energy . Per example  a rat and an elephant have it's own  Energy  level or scale with  which  space and time get adjusted.  Age of the universe is different  in elephant's scale than in art's scale.