Abstract
A logico-linguistic (semantic) analysis of Cauchy's definition of derivative from his book, as applied in physics, unveils the connection to the Heisenberg uncertainty principle as a condition for the failure of classical mechanics. Such logico-linguistic, or semantically driven, investigations can provide new insights in the pursuit of truth and reality, for example, in the context of the Schroedinger equation. I point out an explicit dilemma that plagues the semantics of physics, as far as general relativity and quantum mechanics are concerned, which needs to be taken into account during any attempt to pen down a theory of "quantum gravity".
As a further significant consequence of such research investigations, I discuss the following. Coulomb's hypothesis, being considered as verified through experiment and measurement, requires a modification in light of the completeness condition stated by Einstein-Podolsky-Rosen (EPR). Such modification renders the first Maxwell's equation unprovable. Therefore, EPR incompleteness appears to be a general feature of the physical theories rather than quantum mechanics in particular.
About the speaker
Dr. Abhisekh Majhi is currently working as an Inspire Faculty Fellow in Indian Statistical Institute, Kolkata. He did his doctorate in physics. His interests include theoretical physics (especially relativity, electrodynamics and quantum physics); role of logic, language and experience in mathematical science; foundations and axiomatics of metrology; foundations and philosophy of mathematical sciences.