At least you answered. You never specified which books out of the dozens in your list of references show these theories are better explained by FE, which is why I wanted you to provide explanations for at least some of them. I'm not that devoted to showing the Earth is round to some people on the internet.
Aether Theory
Flat Earth Theory accurately explains the existence of aether as a generally covariant generalization of Einstein's General Relativity which describes FE spacetime endowed with both a metric and a unit timelike vector field named the aether. In particular, Flat Earth Aether has a preferred reference frame and so is not Lorentz invariant.
Hmm....ok. I haven't heard anything about aether involving FE before now though. Specific source?
Fluid Mechanics
Flat Earth Theory improves on the Continuum Hypothesis by defining the molecules of fluid as discrete particles rather than points in space. By doing this, it gives greater accuracy in statistical models, doing away with approximations. The only downside is that as calculations become more laborious and complex, human error becomes an issue.
Why does FE define molecules different again? I'd look it up myself if you tell which book in your sources explains this.
Archimedes’ Principle
Flat Earth Theory expands Archimedes' Principle to include an accurate calculation of Buoyancy due to a uniform upward force. By making a rather minor addition, two issues are resolved: The floating sun, and the mechanism which keeps the atmosphere in. This addition is also useful for describing the effect that allows a beachball to hover over the spout of a leaf blower.
Explain in more detail, or tell me which book to read in your list of sources.
Beer-Lambert Law
Flat Earth Theory improves on this law by defining an exponential dependence between the transmission of light through a substance and the concentration of the substance, and also between the transmission and the breadth of material that the light travels through
Which book would I look in to have this explained in more detail?
Newton’s three laws of motion
Newton's laws of motion are given greater depth by the inclusion of relativistic effects.
Relativity applies in RE too, and RE is under relativistic effects as well. Not better explained by FE.
Newton’s law of universal gravitation
Flat Earth Theory eclipses Newton's universal gravitation with the Equivalence Principle.
Again with the equivalence principle...we could debate this for hours and get nowhere (it's been done many times already).
Newton’s law of cooling
Flat Earth Theory limits the spontaneous transfer of thermal energy through matter. By the inclusion of Thermosiphon (a method of passive heat exchange) it can be shown that the evening out of temperature differences from a region of higher temperature to a region of lower temperature is not entirely spontaneous.
How's FE limit spontaneous transfer of energy through matter? Again, gotta give me a specific source.
Boyle's Law
Flat Earth Theory makes the clarification that in a fixed mass of gas at fixed temperature, the product of pressure and volume will not always be constant. There are also gas constants, heavy elements, pollution, and gravitation to consider.
Why's FE theory make this clarification? Source me, baby.
Ideal Gas Law
Flat Earth Theory eclipses the Ideal Gas law with an equation of state (relation of state variables) for a fluid composed of particles that have a non-zero size and a pairwise attractive inter-particle force. The equation approximates the behavior of real fluids, taking into account the nonzero size of molecules and the attractions between them.
And this equation is? Source, source, source. I'm not so hot on looking through every book you have listed on your page of source.
The First Law of Thermodynamics
James Prescott Joule's First Law of Thermodynamics is completely tarnished, since it is apparent that in his equations he did not take the perpetually expanding universe into account.
Surely you agree that the universe is expanding in RE too? I don't see how this is exclusive to FE.
Buys-Ballot's Law
Buys-Ballot's law is reworked to do away with completely the hypothetical Coriolis effect. Wind travels counterclockwise around low pressure zones upon the entire earth, not just in selected areas. The Coriolis effect is not mounted in solid observations or evidence.
Yeah, it is. Storm systems have a strong tendency (definitely not coincidental) to move clockwise in the Southern hemisphere. Of course, the big bad conspirators did it, whatever. By "selected areas" did you mean the entire Southern hemisphere?
The Acquiescence Effect
This is a psychological effect which accurately describes the passivity of a Round Earther. Like a dog to the whistle the Round Earther will automatically agree with any authoritative figure who comes his way. When asked a question by another person, the Round Earther's answer is based not just on a rational consideration of what is being asked. In particular, his sensitive identity compels him to consider how he appears to others.
All Round Earthers are highly hypocritical, sheeple who cannot think for themselves.
For example, when the Round Earther is asked 'Do you think the government makes mistakes?', he will say yes. The next day if he is asked 'Do you think the government generally gets it right?', he will also agree. Two very different answers to the same question. He automatically agrees, afraid of thinking for himself.
You repeat this a lot. Why is it that every REer in the entire world (and I mean EVERY SINGLE HUMAN BEING except for about a dozen or so on this site) is a brainless herd animal? What makes you so much better? Because you came to the amazing conclusion the Earth is flat? Listen, you're just being ignorant at this point. It's quite apparent that you think you and your FE internet friends are an elite upper class of society, transcending all the "hype" that the Earth is round because you found the "truth". You're not.
I'd actually be willing to take an in-depth look at a lot of these claims if you just told me WHICH BOOK to look in.