Proving Unachievability of Absolute Zero: Uncertainty Principle

In summary, the uncertainty principle states that it is impossible for a particle to have exactly zero energy, making absolute zero unachievable. The ground state energy of a system determines the lowest possible energy it can have. Even at absolute zero, quantum mechanical effects will cause atoms and other particles to still have motion. Therefore, absolute zero cannot be defined as having zero motion.
  • #1
Archosaur
331
1
Is the uncertainty principle enough to prove that absolute zero is unachievable? i.e. a particle can't be said to have exactly zero energy, because it can't be said to have exactly any amount of energy.
 
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  • #2
The uncertainty principle relates tells us how we can relate two quantities we can measure.

A better way to understand is that for any given wave function in a determinant state of the Hamiltonian the lowest amount of energy is the ground state. If the ground state energy is not zero then it can't be absolute zero by default.
 
  • #3
No, but quantum mechanical effects mean that things (=atoms etc) will move even AT absolute zero (it is a common misconception that absolute zero means no motion).
 
  • #4
f95toli said:
No, but quantum mechanical effects mean that things (=atoms etc) will move even AT absolute zero (it is a common misconception that absolute zero means no motion).

Well how are you defining absolute zero?
 
  • #5
I would think "zero kinetic energy" and thus "zero motion", no?
 

1. What is the Uncertainty Principle?

The Uncertainty Principle, also known as Heisenberg's Uncertainty Principle, is a fundamental principle in quantum mechanics that states that the more precisely one property of a particle is measured, the less precisely another related property can be known. This means that there is a fundamental limit to how accurately we can measure certain pairs of physical properties, such as position and momentum.

2. What is Absolute Zero?

Absolute Zero is the theoretical lowest possible temperature, at which point all molecular motion stops. It is equivalent to 0 Kelvin or -273.15 degrees Celsius. It is considered an unattainable temperature as it would require the complete absence of all thermal energy.

3. How does the Uncertainty Principle relate to proving the unachievability of Absolute Zero?

The Uncertainty Principle states that there is a limit to how precisely we can measure certain physical properties, such as temperature. This means that even if we could theoretically reach Absolute Zero, we would not be able to accurately measure it. Therefore, the Uncertainty Principle plays a crucial role in proving the unachievability of Absolute Zero.

4. Can the Uncertainty Principle be overcome?

No, the Uncertainty Principle is a fundamental principle in quantum mechanics and has been extensively tested and proven to be a fundamental aspect of the universe. However, there are ways to minimize the effects of the Uncertainty Principle through techniques such as quantum entanglement and quantum squeezing.

5. Why is proving the unachievability of Absolute Zero important?

Proving the unachievability of Absolute Zero is important because it helps us understand the fundamental limits of our universe and the laws of physics. It also has practical implications in fields such as cryogenics, where precise temperature measurements are crucial. Additionally, it allows us to better understand and utilize principles such as the Uncertainty Principle in various scientific and technological advancements.

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