Topic: physics

The importance of group theory was emphasized very recently when some physicists using group theory predicted the existence of a particle that had never been observed before, and described the properties it should have. Later experiments proved that this particle really exists and has those properties.

TOPICS: group theory, algebra, physics

The differential equations of the propagation of heat express the most general conditions, and reduce the physical questions to problems of pure analysis, and this is the proper object of theory.\r\n

TOPICS: heat, differential equations, physics, theory

SOURCE: Analytical Theory of Heat

Heat, like gravity, penetrates every substance of the universe, its rays occupy all parts of space. The object of our work is to set forth the mathematical laws which this element obeys. The theory of heat will hereafter form one of the most important branches of general physics.

SOURCE: Analytical Theory of Heat

Nowadays, group theoretical methods—expecially those involving characters and representations, pervade all branches of quantum mechanics.

TOPICS: group theory, physics

Every existence above a certain rank has its singular points; the higher the rank the more of them. At these points, influences whose physical magnitude is too small to be taken account of by a finite being may produce results of the greatest importance.

TOPICS: physics, philosophy

The universe is an enormous direct product of representations of symmetry groups.

TOPICS: group theory, physics