“Eric Weinstein for instance has somehow managed to convince himself that the instability of preferences is a huge problem for economics (it’s not) and that the application of gauge theory to economics will improve things. Now, I don’t know anything about gauge theory but I would be willing to bet that it has virtually nothing to add to economics. If Eric Weinstein has some insight that he wants to share then fine – send it my way and I’ll listen but I’m not going to listen just because the math is difficult. The fact that it’s difficult to understand something does not mean that it is important to pay attention to it. Weinstein might be perfectly well-intentioned but if he thinks that because he knows some fancy mathematics, economists are obligated to grant credence to his work, he is sorely mistaken.”
“Now there is nothing incorrect about Weinstein's reformulation of economics in the language of fiber bundles with ordinal utility behaving like a connection (gauge field). As a physicist, I actually enjoyed the mathematics involved in reformulating gauge theory in the language of fiber bundles (and differential forms). I gave seminars on both as a grad student.”
“The formal mathematical analogy between classical thermodynamics and mathematical economic systems has now been explored. This does not warrant the commonly met attempt to find more exact analogies of physical magnitudes—such as entropy or energy—in the economic realm. Why should there be laws like the first or second laws of thermodynamics holding in the economic realm? Why should "utility'' be literally identified with entropy, energy, or anything else? Why should a failure to make such a successful identification lead anyone to overlook or deny the mathematical isomorphism that does exist between minimum systems that arise in different disciplines?”Smith, at this point, however, is unaware that in 1938, Edwin Wilson, the last protege of Willard Gibbs, who was also Samuelson' economics PhD adviser, wrote the following to Samuelson, in commentary on one of Samuelson's papers, wherein, in the context of his mathematical economics course, suggested that he use Gibbs equation 133 to formulate a new foundational version of economics; specifically:
Annotated image, page from Lev Landau and Evgeny Lifschitz’ 1959 Course of Theoretical Physics (Ѻ), from Smith’s 2015 blog “Economic Potentials: How to Define an Economy”, wherein he attempts, as she says, to “construct the thermodynamic potential of an economy by elaborate analogy.” [5] |
“Moreover, general as the treatment is I think that there is the possibility that it is not so general in some respects as Willard Gibbs would have desired. [In] discussing equilibrium and displacements from one position of equilibrium to another position [Gibbs] laid great stress on the fact that one had to remain within the limits of stability. Now if one wishes to postulate the derivatives including the second derivatives in an absolutely definite quadratic form one doesn’t need to talk about the limits of stability because the definiteness of the quadratic form means that one has stability. I wonder whether you can’t make it clearer or can’t come nearer following the general line of ideas [that] Gibbs has given in his Equilibrium of Heterogeneous Substances, equation 133.”
“And where is this law of the universe that says that the human world can't be modeled like the world of particles or the world of cells and DNA? Does anyone have evidence to back up that contention? How the heck do you know that human behavior doesn't lend itself to modeling? If humans are so unpredictable, tell me why Google auctions get so much money from advertisers, or how economists can predict (Ѻ) how many people will ride a train before the train is built. If you think social science can never be science, explain to me why these successes were possible.”— Noah Smith (2015), “Lazy Econ Critiques” (Ѻ), Oct 12; per assertion (Ѻ) Noah is stealing his material, Oct 12