Are There Any Natural Physical Interpretations for Some Elementary Inequalities?

Abstract

We inquire whether there are some fundamental interpretations of elementary inequalities in terms of curvature of a three-dimensional smooth hypersurface in the four-dimensional real ambient space. The main outcome of our exploration is a perspective of regarding the natural substance of some mathematical inequalities, which represent important physical quantities.

Keywords

• symmetric functions
• inequalities
• scalar curvature
• de sitter and anti de sitter spaces
• primary 26d99, 53b30
• secondary 26d07; 53b20; 53b50; 83-01