The long-standing interpretation of Boscovich's concept of force follows the tradition of Leibniz, suggesting that properties like solidity arise from a balance of attractive and repulsive forces within matter.
The author critiques this interpretation, highlighting its flaws and proposing an alternative view that emphasizes Boscovich's early definition of forces as mathematical determinations linked to motion.
This perspective aligns more closely with Newtonian principles and introduces an agnostic stance on the nature of forces, promoting mathematics as a neutral tool that accommodates multiple interpretations.
The study focuses on the local stability of a droplet at equilibrium, where these droplets have a nonvanishing line tension at the contact line with three phases involved.
The research supports Widom's findings about droplets with positive line tension being stable under various perturbations, enhancing our understanding of droplet behavior.
However, it reveals that for negative line tension, the previous methods failed to predict instabilities, leading to the introduction of a new concept called residual stability to better assess when droplets with negative line tension are likely to maintain equilibrium.