Did Henri Point Carre have the answer on mc^2 and space="Point Carre 's Conjecture?

Question

What did his conjecture Indicate?

Answer 1

Please, it is not Henri Point Carre it is Henri Poincaré (pronounced poin-ca-re).

Your question is twofold. First E=mc^2 and then Poincare conjecture. These are related ideas however must be treated separately, at least for now. Their kinship stems from the space-time-energy relationships.

Historically Albert Einstein was credited with inventing the famous E=mc^2.
“The actual meaning of the E = mc^2 to which I refer is that it represents the mass gained or lost under absorption or emission of radiant energy of value E. Jules Henri Poincaré (1854-1912) in 1900 (Arch. neerland. sci., 2, 5,232 (1990)), considered an expression for what he called the "momentum of radiation" M_R. It is M_R = S/c^2, where S represents the flux of radiation and c is the usual velocity of light” (see ref 1).

And as you know that this concept was introduced in the paper Einstein published in 1905 and later called Special Theory of Relativity. Years later he introduced a theory of General relativity where space was warped by gravitation. Space implies topology and topology is where Henri Poincare comes in with his famous conjecture. This conjecture raises a lot of question and specifically how well we understabd topological space or space topologically.


To explore his conjecture, superficialy ofcourse, we need to appriociate a definition of a 3-sphere is a higher-dimensional analogue of a 3-dimentional sphere that is to us an ordinary sphere, or 2-sphere, consists of all points equidistant from a single point in ordinary 3-dimensional Euclidean space, real 3-d space.

Poincare conjecture says that the three-sphere is the only type of bounded three-dimensional space possible that contains no holes. This conjecture was first proposed in 1904 by H. Poincaré