# The N-Body Problem or the Uncertainty Principle?

#### Carl James Mesaros

Dear My Math Form Members:
Could the N-body problem be a macroscopic manifestation of the Heisenberg Uncertainty Principle?

#### topsquark

Math Team
Dear My Math Form Members:
Could the N-body problem be a macroscopic manifestation of the Heisenberg Uncertainty Principle?
The Heisenberg principle is best described, to my mind, using the wave picture of QM and represents the impossibilty of precise measurement of the position of the wave due to the nature of the wave tending to spread out.

The N-body problem is due to the lack of existence of closed form solutions to the equations of motion.

These are very different things.

-Dan

Carl James Mesaros

#### SDK

Dear My Math Form Members:
Could the N-body problem be a macroscopic manifestation of the Heisenberg Uncertainty Principle?
Can you explain what you think the N-body problem is? Also describe what you think the Heisenberg uncertainty principle says.

#### Carl James Mesaros

The Heisenberg principle is best described, to my mind, using the wave picture of QM and represents the impossibilty of precise measurement of the position of the wave due to the nature of the wave tending to spread out.

The N-body problem is due to the lack of existence of closed form solutions to the equations of motion.

These are very different things.

-Dan

#### Carl James Mesaros

Dear My Math Forum Members:
The fundamental reason why I equated the N-body problem with the Heisenberg Uncertainty Principle is that both deal with events (with the Heisenberg Principle of the microworld and the N-body problem of the macroworld) that cannot be predicted.

#### SDK

Dear My Math Forum Members:
The fundamental reason why I equated the N-body problem with the Heisenberg Uncertainty Principle is that both deal with events (with the Heisenberg Principle of the microworld and the N-body problem of the macroworld) that cannot be predicted.

topsquark

#### topsquark

Math Team
SDK lost the link somehow. Here it is.

Just to be clear on the N-body problem: There is no uncertainty there. We can make numerical predictions with just about any accuracy desired, at least in the short term. Yes, there are possible chaotic effects but unless you are trying to predict something to happen in 1000 years or can invent/use equipement that can make measurements far better than we have now the numerical work will do you just fine. It seems to work well enough for NASA and other country's space agencies.

-Dan

SDK

#### SDK

SDK lost the link somehow. Here it is.
Oops thanks for that. I am spoiled on google telling me when I have used the word "attached" in an email but haven't attached anything. Saves me from looking stupid ~10x a day but it only promotes bad habits.

topsquark