Register to reply

String Theory and HUP

by alpha_wolf
Tags: string, theory
Share this thread:
alpha_wolf
#1
May12-04, 05:15 PM
P: 164
How does the heisenberg uncertainty principle work within string theory, considering that the strings's size is on the order of planck's constant?
Phys.Org News Partner Physics news on Phys.org
Engineers develop new sensor to detect tiny individual nanoparticles
Tiny particles have big potential in debate over nuclear proliferation
Ray tracing and beyond
selfAdjoint
#2
May12-04, 08:21 PM
Emeritus
PF Gold
P: 8,147
It is important to note that what is actually quantized is the vibrations of the string (via the world sheet). In this case the "normal modes" of the vibrations appear as quantum simple harmonic oscillators, well known from basic quantum theory. And these obey the uncertainty principle.
sol2
#3
May12-04, 08:28 PM
sol2's Avatar
P: 915
How could we ever concieve of the differences in orbitals and their shape?

alpha_wolf
#4
May13-04, 05:48 AM
P: 164
String Theory and HUP

Quote Quote by selfAdjoint
It is important to note that what is actually quantized is the vibrations of the string (via the world sheet). In this case the "normal modes" of the vibrations appear as quantum simple harmonic oscillators, well known from basic quantum theory. And these obey the uncertainty principle.
Hmm.. let me see if I got this right..
The position and velocity of the string are not the position and velocity of the particle. Instead, as the string sweeps accross space, the worldhseet it forms looks like the familiar QM wavefunction of the particle, which then defined the position and momentum of the particle in accordance with QM and the HUP. Is this right or am I completely off here?
selfAdjoint
#5
May13-04, 09:33 AM
Emeritus
PF Gold
P: 8,147
Quote Quote by alpha_wolf
Hmm.. let me see if I got this right..
The position and velocity of the string are not the position and velocity of the particle.
Absolutely right.

Instead, as the string sweeps accross space, the worldhseet it forms looks like the familiar QM wavefunction of the particle, which then defined the position and momentum of the particle in accordance with QM and the HUP. Is this right or am I completely off here?
Still some misunderstanding. The particles we have in our low energy world ARE the vibrations. They are not the string, nor yet its geometrical positions. You use the worldsheet (and lots of math on the worldsheet) to get details on the vibrations. But it's a vibration of such and such a momentum and wave number that makes a particle. Or maybe a combination; in bosonic string theory the graviton is a combination of left moving and right moving vibrations around a closed string .


Register to reply

Related Discussions
Applied mathematics of Game Theory overlooked as a representaiton in string theory? Beyond the Standard Model 0
Introductory Interactive Online String Theory Seminar at the String Coffee Table Beyond the Standard Model 0
Matrix string theory, contact terms, and superstring field theory Beyond the Standard Model 2
How does string field theory differ from string theory Beyond the Standard Model 17