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acme036
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The uncertainty in this principle is talking about uncertainty of measurement or particle itself?
acme036 said:The uncertainty in this principle is talking about uncertainty of measurement or particle itself?
phinds said:They HUP has nothing to do with our ability to measure things, it is a fundamental characteristic of nature.
Chase said:But is it the act of observing it that creates the uncertainty or is the uncertainty always there, regardless of whether we're observing it or not?
acme036 said:The uncertainty in this principle is talking about uncertainty of measurement or particle itself?
acme036 said:The uncertainty in this principle is talking about uncertainty of measurement or particle itself?
Chase said:But is it the act of observing it that creates the uncertainty or is the uncertainty always there, regardless of whether we're observing it or not?
dextercioby said:'Uncertainty principle' is a term I'd rather not use. As a result of the mathematical formalism of Quantum Mechanics, this is a theorem about the bounds of mean square deviations of 2 observables described through self-adjoint operators. The virtual statistical ensemble theory links the matrix elements appearing in the theorem to the results of perfect/unperturbed measurements of the 2 observables on the virtual statistical ensemble via the Born rule.
Maui said:Simply put, it is not possible to both know where a particle is and how fast it moves about.
phinds said:No, not really. You CAN know that for a single particle. What the HUP says is that you have not discovered something deterministic the way that classical physics would say you have, you've just found it for one particle. When you do EXACTLY the same experiment with another particle, classical physics says that it will do the exact same thing as the first one, but that isn't what happens and THAT is what the HUP is all about. This is discussed in the link that zapperz provided.
Maui said:What you can know about a single particle(measurement) will always be probabilistic as the particle doesn't have a well defined position and momentum.
Drakkith said:It does as soon as you detect it. Once it is detected it has no more probability.
The uncertainty principle is about predicting the momentum and position of a particle prior to detection. You can predict either the momentum or the position with an arbitrary precision, but not both.
Heisenberg's Uncertainty Principle is a fundamental concept in quantum mechanics that states that it is impossible to know both the position and momentum of a particle with absolute certainty at the same time.
The Uncertainty Principle suggests that there are inherent limitations to our ability to measure and predict the behavior of particles at the quantum level. It challenges the traditional deterministic view of the physical world and highlights the probabilistic nature of quantum mechanics.
The mathematical expression for the Uncertainty Principle is ΔxΔp ≥ h/4π, where Δx represents the uncertainty in position, Δp represents the uncertainty in momentum, and h is Planck's constant.
No, the Uncertainty Principle is a fundamental principle of quantum mechanics and cannot be violated. It is supported by numerous experiments and is a crucial aspect of our understanding of the behavior of particles at the quantum level.
The Uncertainty Principle is closely related to other principles in quantum mechanics, such as the wave-particle duality and the principle of superposition. It also has implications for other concepts, such as the observer effect and quantum entanglement.