What is the use of eigenvalues in daily life?

Answer 1

In N dimensions i.e. 3 space dimensions and 1 time dimension (our perceived universe) there is a way of collapsing all of the contain information (any nontrivial function i.e. x^4 + y^4 +Z^4 = any real number other than zero (Eigen function) at time being discrete towards 0 gives an informational representation of 3 dimensions in 4 dimensions after the first derivation and a 2 dimensional information representation of 4 dimensional space. After deriving any Eigen function the Eigen Values in a domain and range can be represented by a singularity. (i.e. the singularity that expanded "in the beginning) which is commonly known as the Big Bang theory).

In real life this can be useful in reducing large amounts of information into a "simplest" symbol. i.e. a 2 dimensional string (string theory) can be described by an Eigen Function. All the information of said string can be described in binary code i.e. 00111010101010110011101010 can be reduced by defining a string of binary code by a symbol say: q (where there can be an infinite amount of symbols)
Therefor a string of two dimensional information represented by symbols can then be reduced again by another symbol.

This can be done until all of the information in any space time of n dimensions is represented by a symbol defined by all of the information in said space time dimensions up to time t with complete regression assuming that information CAN be regressed with no error.

A real life example would be huge amounts of binary code is reduced and then transported to a television in which the simplified information is then expanded back to the original information which is then transformed by the television into a moving picture.

A more controversial assessment of a real life example in the field of Mathematics and Physics is that all of the information in our current space time (4-D) up to t=present can be represented by binary code at a snapshot t=plank time reduced to a symbol. The amount of plank times from the Big Bang to now can be reduced back down to the singularity from whence The Big Bang occurred. (This assumes that there is no error in the possible irreducible holonomies. The decomposition and classification of information can be represented by a singularity)