Entropy is not the order of the system. Even mainstream starting to admit that. Wikipedia mentioned Difficulties with the term "disorder". https://en.wikipedia.org/wiki/Entropy_( ... d_disorder)

The term Entropy was introduced for ideal gas. The definition of the term "ideal" does not only mean the molecules are in perfect elastic collision, it also mean that there are nothing more except collisions. No charges, no fields, no potential energy, nothing but collision.

The formula for the entropy of ideal gas is known as Sackur–Tetrode equation https://en.wikipedia.org/wiki/Sackur–Tetrode_equation

As we could see the entropy depends only on temperature, volume and the number of molecules. This makes expression “...that Entropy cannot happen...” is equivalent to the expression “Temperature cannot happen”. Or I could say that temperature does not exist without “semperature”.

The concept of entropy is flawed in many ways.

1. The entropy defined as follow: Entropy change equals to heat change over temperature. dS=dQ/T. The temperature in the formula is not differential. The problem here is when you supply heat to the system, the temperature will also be changed. Which temperature should one use? Initial temperature or final temperature? There is no answer on that anywhere.

2. The entropy often defined as: “the measure of a system’s thermal energy per unit temperature that is unavailable for doing useful work”. https://www.britannica.com/science/entropy-physics

Imagine some body at room temperature and I am supplying additional heat dQ to this body. The entropy change will be dQ/300. And such change according to the definition will be unavailable for doing work. Now if I cooled the body back to room temperature then dQ/300 is unavailable for retrieving, which makes 299*dQ/300 available. The efficiency of my thermal machine will be 99.7% just according to such entropy definition. Where are such machines?

3. The second law of thermodynamic also follows directly from the definition of entropy. I am also will be using some volume of gas surrounded by thermal isolation. My first step will be adding some amount of heat dQ to the gas. Then I am going to reverse the process and reducing the amount of heat by exactly same amount. When the heat was added the gas was at some cold temperature Tc and entropy increased by dQ/Tc. When the heat was withdrawn, the temperature was higher – Th and entropy reduction was dQ/Th. Since Th greater that Tc, the change in entropy is positive. Repeating above process for a long time will bring entropy to infinity. If I was using battery along with Peltier element for heat transfer – does that mean that entropy of my battery/Peltier goes to minus infinity?

Cheers.

Miles Mathis on entropy: http://milesmathis.com/ent.html