The Law Of Energy And Independence

I wanted to reiterate on my article on basic research.

I was awarded a First Price on a national Physics and Mathematics championship named after Professor Oveges decades ago. I was not at the top in each subject, but I was at the top of the average on that day. I was probably able to present well, it was not enough to give the right solutions.

He was famous of his television show explaining Physics to a general audience. The presentation skills of Professor Oveges was awsome. Let me try to explain some heavy lifting for a general audience.

Copyright© Miklos Szegedi, 2023.

Why I am doing this? Some of my projects target low latency solutions. Advanced physics may help to reduce latency improving customer experience in the long run, maybe not in our lifetime.

I have origins from Austria-Hungary, but the DNA shows my family was from Switzerland or Alsace, Germany, Hungary and Poland before that. Also, more than 50% of my registered DNA relatives are in North America suggesting they were miners and merchants moving back and forth. It is interesting to see the psychological aspect of Physics as a result. I compared the two major genres, the Swiss Einstein style Physics and the German style Shroedinger and Heisenberg Physics.

A main aspect of the early Twentieth century was the difference in approaches. Einstein's approach describes things as walking in the curved valleys of the Alps bounded by hard to climb mountains. Shroedinger and Heisenberg of the more or less flat Germany describe a Physics with straight dimensions, energy, and assuming there are nuances that we will never understand but their statistics. Psychology of societies has an effect on how nature is described.

My direction is to explain these through strict Mathematical models. The reason is I neither have the tools to prove them with empirical evidence, nor can I do any expensive experiments.

Problem. The root of science is the Law of Energy. Two systems are independent, if, and only if the energy in them is strictly additive.

Solution. This is the basic thesis of Pythagoras. To close the circle, I use the thesis of Fermat, that proves that such a pattern is only true to quadratic function and nothing else.

This is important. Financial professionals can target the focus of expensive research, energy leakage, maybe even teleportation in the future, if the number of tasks are limited. The two laws above ensure there is only one approach to describe independent systems. The costs are more predictable.

If two systems are independent then the quadratic energy of the measurements will be additive. This will only be true to the quadratic function. If the quadratic function of measures in two systems are additive, then they are independent.

Investors may understand this better using variance instead of energy. If the measurements of two variables satisfy the sum of variances being additive, then they are independent and vice-versa. They are uncorrelated.

If there is some uncertainty in the measurements of a physics experiment, then the result reflects the energy of another system that is independent or correlated with this system. If we can explain all random variances, then we understand the distribution of energy in the entire system.

Continued...