## Monday, October 17, 2011

### The Quantization of Quantum Mechanics

Quantization: The situation where physical quantities like position, energy and momentum can have only certain discrete values.

While a particle’s position, energy and momentum in free empty space are continuous, if the particle is bound to an area of space can only have certain discrete values. The energy contained in a given frequency of electromagnetic waves is quantized in that it always has the same value at the same frequency. The electromagnetic energy is found in discrete packet called photons.

The quantization of the energy od an electron within an atom explains much of their behavior such as why atoms emit only discrete frequencies of light. An electron that is in a low orbit of an atom can absorb a photon causing the electron  to jump to a higher orbit. The electron then emits a photon jumping back to the lower orbit.

The quantization of space-time us based on several natural units proposed by Max Planck that are based on five universal physical constants: Gravitational constant, Reduced Planck constant, Speed of light in a vacuum, Coulomb constant, and Boltzmann's constant

While most of them have no physical significance two of them Planck Length and Planck Time are the smallest possible measurements of space-time according our current understanding of the laws of Physics because of the  uncertainty principle when a plied to these scales. This suggests that time and space themselves are Quantized.

Planck Length = 1.616 252 × 10−35 m

Planck Length is the smallest measurement of length that has any meaning with in the laws of physics as we understand them today.

Planck Time = 5.391 24 × 10−44 s

Planck Time is the amount of time it takes a photon to cross a Planck Length. It is the smallest measurement of time that has any meaning with in the laws of physics as we understand them today.

Quantization requires physical quantities like position, energy and momentum to have discrete values explaing much of what goes on in side atom and based on our current understanding of the laws of physics it suggest that time and space are quantized.