MATHEMATICS AS AN EXACT AND PRECISE LANGUAGE OF NATURE

we are learning the proper words in the language of nature, But as per above,
how do we ” pronounce ” it? As we saw from the anecdote, proper pronun-
ciation or lack thereof can provide or destroy universality in a language. If
indeed proper mathematics is the language of nature then its ” pronunciation
” should be universal and exact too.

But what would one identify as ” pronunciation ” in mathematics? Here
I would like to present an hypothesis as to what should be taken as ” pro-
nunciation ” when communicating in the language of nature.

Group theory of mathematics has been extensively applied in physics. It
it used to classify particles and in fact by a mathematical process called ”
gauging ” these actually even define forces between particles. A priori there
are several groups as candidates to be used to describe a particular physical
phenomenon. These are for example: infinite series of groups SO(n), SU(n)
and Sp(n) ( for any n= 1,2,3,4,5, .... to infinity ) and G2, F4. E6, E8 etc.
So why was it that in the 1960’s scientists discovered that to give proper
description of reality of particles only the group SU(3) with three quarks la-
belled up, down and strange was the ’’correct” procedure? Why was it that
it was the group combination SU(3) x SU(2) x U(I) that was found to be
necessary in the successful Standard Model of particle physics. I propose here
that a priori all these groups were options for ” sound production” to provide
different ’’pronunciations” for that particular ’’word” in the language of na-
ture. Nature being precise and exact chose the ’’pronunciation” as ”SU(3)”
for the quark model discussed above. And similarly it is the sound pronunci-
ation which is fixed in SU(3)xSU(2)xU(l). Hence as per the suggestion here
the exactness in the group representation is precise and exact fixing of the
sound pronunciation by nature so that unlike the spoken language, there is
no ambiguity in mathematics.

Particles have fixed quantum numbers which are used to identify them.
For example lepton numbers for electron and neutrino, baryon number for
quarks, protons and charge number for electron, protons etc. What is the
nature of these quantum numbers? In terms of what has been stated above
this is just to fix the pronunciation to describe and identify the different
”races”/classes in the ’’genealogy”/classification of matter in nature.

Scientists have also discovered that it is an empirical fact that the law of
gravity and that of electromagnetic forces is inverse square of distance and
not any other, say a cubic or a fraction or any other power of distance. This
too, in view of what has been stated above, should be understood as a precise

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