Uncertainty principal?

Heisenberg's Uncertainty Principle means that the more information you have about a particle's location, the less information you have about its momentum and vice versa. There is an information tradeoff.

An object on the quantum scale does not have a precisely defined position. We can only say that within a certain region of space there is a certain probability of the object being detected (interacting with another object) in a given time. The smaller the region of space the object is confined to the larger the uncertainty in its momentum, and vice versa. The shorter the period of time in which the object may be detected, the higher the uncertainty in its energy.

The uncertainty principle is not about the limitations of measuring instruments, it is an inherent property of matter.

Very short summary: Everything is fuzzy.

richard feynman: "if you think you understand quantum mechanics, you don't understand quantum mechanics"

Let me use the letter "D" to mean "delta" by which I mean uncertainty. So for instance if I have a ball at position 0 with Dx = .1 cm then what i more accurately mean is the ball is at 0 plus or minus .05 cm.

the uncertainty principle says the uncertainty in x times the uncertainty in y has a minimum value. Dx*Dp has a minimum value (p is momentum or velocity if u want). That means we can only know the position and velocity of a particle to a certain accuracy, and that accuracy is governed by the limitation -- heisenbergs uncertainty principle. there's also Dt*De -- time and energy. If I know the energy of something to infinite precision then i cant know at all the time at which it was at that energy. at all.

its strange stuff. lets go back to our more practical ball example. we know the ball is between .05 and -.05 cm. The minimal uncertainty is ~h so Dx*Dp~h (~ means proportional to)

so .1cm*Dp~h and we can find out how accurately we can know the momentum p by dividing h by .1cm

Dp~h/.1cm and maybe the answer will be (out of my ***) 3 cm/s. then by the uncertainty principle if we know somethings position to within .1cm we can only know its velocity to within 3 cm/s.