Fundamental Quantal Paradox and its Resolution

Abstract

The postulate that coordinate and momentum representations are related to each other by the Fourier transform has been accepted from the beginning of quantum theory. As a consequence, coordinate wave functions of photons emitted by stars have cosmic sizes. This results in a paradox because predictions of the theory contradict observations. The reason of the paradox and its resolution are discussed.

16 pages, no figures

References in corpus (2)

• On the Theory of Wave Packets
• de Sitter Symmetry and Quantum Theory

Cited by in corpus (2)

• Finite Mathematics, Finite Quantum Theory And A Conjecture On The Nature Of Time
• Cosmological Acceleration as a Consequence of Quantum de Sitter Symmetry