Complexity vs Energy vs Entropy vs Information

[Phronesis]

Is there a relationship between these terms when we refer to the universe as a system?
The universe for the purpose of this discussion is an isolated, macroscopic, causally closed system. This means that there is no external influence from an outside agent or something/anyhting else at the basic levels of its physics.

From the First Law of Thermodynamics:

• Energy can be transformed (changed from one form to another).
• Energy cannot be created or destroyed.

For an isolated, macroscopic, causally closed system, such as the universe, the relationship between energy and time is as follows:

Figure 1​

From the Second Law of Thermodynamics:
Entropy is the order of an isolated system and the entropy of an isolated system which is not in equilibrium will tend to increase over time.
For an isolated, macroscopic, causally closed system, such as the universe, the relationship between entropy and time can be described to be any of the following until equilibrium is reached:

Figure 2​

There are many measures for complexity. See here.
3 central questions with regards to measuring complexity seems to be:
1) How hard is it to describe?
2) How hard is it to create?
3) What is its degree of organization?

For the purpose of this discussion, the universe cannot be described by an outside agent and was not created by an outside agent.

What would the relationship between complexity and time be considering an isolated, macroscopic, causally closed system, such as the universe that has the exact same physical constituents as time changes?
Which one of the following can be argued to be the most accurate description a change in complexity vs time?

Figure 3​

Assuming there is a relationship between complexity and entropy and assuming entropy increases linearly over time until an equilibrium is reached (second law of thermodynamics) the following relationships between entropy and complexity can be seen:

Figure 4​

And where does information fit? How would your definition of information fit into the evolution of a system. E.g.:

Figure 5​

Questions:
1) From Figures 3-5, which figures would most accurately describe your view of the universe assuming the universe is an isolated, macroscopic, causally closed system?
2) Why?

Disclaimer: The pictures were created in Excel 2007 by me. Anyone is welcome to ask for the raw data.

 

[rwenzori]

Looks like I am being censored ( pffft to you phronesis ). Let me repeat the rather good quote:

Von Neumann told me, ‘You should call it entropy, for two reasons. In the first place your uncertainty function has been used in statistical mechanics under that name, so it already has a name. In the second place, and more important, nobody knows what entropy really is, so in a debate you will always have the advantage.

Please give clear definitions of the terms in the thread title, as the terms have widely varying meanings.

Where did you obtain your "raw data"? Reference or link please.

 

[Phronesis]

Please give clear definitions of the terms in the thread title, as the terms have widely varying meanings.

I am aware that there are many meanings for the terms. Use the terms you think are most appropriate and give your opinion.

Where did you obtain your "raw data"? Reference or link please.

Standard representation of simple equations.
E.g. y=mx+c, y = ax^2, y=k/x, y=sin(x), y=a (a = constant) etc...

 

[Jenemesis]

what qualification will I have in what subject when I eventually get through comprehending all of these threads?

an interesting combination of philosophy and science, stimulates the grey matter a little and intimidates the layperson a lot!

thanks for going to all the effort to elaborate on these subjects even though for the most part, it gets attacked, usually by ignorant or ell-indoctrinated responses but very seldom is it intellectually challenged in civil and theoretical manner....

in my opinion, resorting to personal insults is indicative of not having adequate substance for a valid debate

thanks for the thought provoking and stimulating information, somewhat a bit above my comprehension but very interesting and appreciated!

 

[Phronesis]

To continue, if there is a relationship between between complexity and information as well as information and entropy, what would the relationship look like (if any)?

Information vs Entropy

Information vs Complexity