Complex groups, quantum mechanics, and the dimension and reality of space

Ronald Mirman

Ronald Mirman

Contents: Foundations Why geometry, so physics, require complex numbers Properties of state functions The foundations of coherent superposition geometry, transformations groups and observers The Poincare group and its implications The dimension of space Bosons, fermions, spinors and orthogonal groups The complete reasonableness of quantum mechanics Terminology and conventions The Einstein Podolsky Rosen paradox Experimental meaning of the concept of identical particles Nonexistence of superselection rules Complex groups, quantum mechanics and the dimension and reality of space The reality and dimension of space and the complexity of quantum mechanics.

Kiyoung Kim

Through a new interpretation of Special Theory of Relativity and with a model given for physical space, we can find a way to understand the basic principles of Quantum Mechanics consistently from Classical Theory. It is supposed that natural phenomena have a connection with intangible reality which cannot be measured directly. Furthermore, the intangible reality is supposed as vacuum particles -- stationary vacuum electrons as a model. In addition, 4-Dimensional Complex Space is introduced, in which each dimension has an internal complex space.

G. Papini

Hermann Weyl