thermal chaos – mathematical origin

[AntonioLao]

In 1812 Baron Jean-Joseph Fourier, the prefect of Isère, won the prize of the French Academy of Sciences for his mathematical description of the propagation of heat. Fourier’s theory of heat was a par excellence of mathematical elegance. This can be stated simply as that the flow of heat is proportional to the gradient of temperature and generally applicable to solid, liquid, or gaseous state of matter and independent of its chemical composition.

The theory of heat published 100 years after Newton’s theory of gravity stood with equal footing as an independent physical theory. Newton’s was about external energy of determinism while Fourier’s was about internal energy of indeterminism. Deterministic theory leads to order while indeterminism leads to chaos. The culmination of these two distinct approaches to the descriptions of physical reality respectively became general relativity and quantum mechanics.

General relativity as a theory of external-mechanical energy relies on the ability of looking out and knowing in. Quantum mechanics as a theory of internal-thermal energy relies on the ability of looking in and knowing out. However, the product of external and internal energy as square of energy can become a theory which look in and out and knowing out and in. Therefore, a theory of square of energy is a physical description of a universe inside out for both time independence and mass independence of vanishing volumes of open systems.

[mkirkpatrick]

Interesting thread Antonio,now the question of thermals raises this question to mind,heat
implies thermal activity which is motion,the word cold we use implies less motion,so it would seem that motion and heat are one of the same,now is it that chaos only exists
when there is any thermal activity,implying that say in absolute zero,there is no chaos
because there is an absence of any thermal activity?What are the equations to this sum
my friend!



regards michael.

[AntonioLao]

thermal activity which is motion

Actually, it's random motion or maybe chaotic motion. However, random probabilistic motion is predictable while chaotic motion is not even though some investigators subscribe to the facts that order can come out of any chaotic nonlinear system.

[mkirkpatrick]

Actually, it's random motion or maybe chaotic motion. However, random probabilistic motion is predictable while chaotic motion is not even though some investigators subscribe to the facts that order can come out of any chaotic nonlinear system.

I believe order always emerges from chaos!



regards michael.

[AntonioLao]

I believe order always emerges from chaos!

This can be demonstrated by continued differences analogous to differentiation on the Fibonacci series.

[mkirkpatrick]

This can be demonstrated by continued differences analogous to differentiation on the Fibonacci series.

Absolutely,without thermal activity life is rather frigid?

regards michael