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# The Kent Papers: Entropy - An Ill-Conceived Mathematical Contrivance?

 The Kent Papers: Entropy - An Ill-Conceived Mathematical Contrivance?01-02-2023 02:41 IBdaMann★★★★★(13508) Entropy - An Ill-Conceived Mathematical Contrivance?Kent W. Mayhew68 Pineglen Cres., Ottawa, Ontario K2G 0G8, Canada(Received 4 May 2015; accepted 25 July 2015; published online 16 August 2015)Abstract: Entropy remains a part of so many thermodynamics relations, yet its true identity lacks clarity. We shall show that entropy may be nothing more than a mathematical contrivance, one that is illogically used to explain too many phenomena. In so doing, we shall question many traditional thermodynamic conceptualizations, as well as provide a unique understanding as to how Boltzmann's constant relates to a system's ability to do work. VC 2015 Physics Essays Publication. [http://dx.doi.org/10.4006/0836-1398-28.3.352]Let's break down the abstract.Entropy remains a part of so many thermodynamics relations, yet its true identity lacks clarity. Entropy is the underlying constraint in all closed sytems. It's true identity is crystal clear, i.e. the amount of energy that has become not usable by the system.That was easy.We shall show that entropy may be nothing more than a mathematical contrivance, one that is illogically used to explain too many phenomena. Well, let's go to the main document and see where this is shown. This sounds very interesting.Wait, this isn't really discussed until the last two sentences in the paper:Could entropy simply be an ill-conceived mathematical contrivance, thus complicating the simple? Seemingly, this is the case. Moreover, thermodynamics can become a simple constructive science [sic] all that is required is a willingness to make it so.... and the paper ends. Apparently, the paper's title is simply a conclusion we are told to believe. That's somewhat disappointing.In so doing, we shall question many traditional thermodynamic conceptualizations, as well as provide a unique understanding as to how Boltzmann's constant relates to a system's ability to do work.Well, let's see what "thermodynamic conceptualizations" are challenged.OK, I read the paper (again) and it seems that all Kent challenges are misconceptions that he claims are "traditional thermodynamics." There are many errors in the paper that purportedly support additional claims that are not related to the conclusion we are to believe about entropy being a mathematical contrivance. The biggest problem with the paper is one that sticks out like a sore thumb. The paper discusses entropy and thermodynamics, but Kent uses nothing other than equations derived from the Ideal Gas law to prove theorems and to support his conclusions. This might explain why the conclusions are all wrong, i.e. the wrong equations are used for everything. You might think that E(initial) = E(final) might make an appearance eventually, or Entropy(t0) < Entropy(t1), or something other than the Ideal Gas law. Nope. Among the errors in the paper are the following:Consider that a closed system simply prevents mass transfer with its surroundings.The implication of Eq. (4) becomes that a mistake on a grandiose scale was made by 19th century greats such as Clausius, Kelvin, Maxwell, and Boltzmann. Followed by all of us who have adhered to their assertions into the 21st century.[equation derived algebraically from the Ideal Gas Law]The above equation confounds tradition, so it will be explained in Section III.Our traditional consideration of entropy is founded upon circular logic. Specifically, Eq. (6) was equated the empirical data for lost work Thermodynamics circumnavigates the possible [sic] that entropy entertains more than one guise by using various unnecessary complex arguments, thus preventing entropy from achieving a single simple definition. [sic] Ultimately, confusing what should be a simple constructive science.Certainly Boltzmann's use of the term disorder in describing what happens over time has led to this belief resulting in concepts like systems always moves toward greater entropySeemingly forgotten; forces such as gravity tend to put order back into systems. Certainly, the formation of galaxies, planets, stars, and all other cosmological bodies defy entropy's traditional guise.Lost work occurs as expanding systems displace our atmosphere's weight.8 Hence, Boltzmann's increase in number of microstates is a result of volume change rather than a reason for energy loss, as is wrongly traditionally professedAccordingly, a new differing thermodynamic theory arises, one that does not rely upon terms such as disorder, yet renders the identical empirical results. The new theory enlightens us to Boltzmann's constant simply relating a gaseous system's ability to do work to its local gravitational field
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