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What is exactly the same in nature ?


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21 minutes ago, Kartazion said:

It should be emphasized that the particles, which are all identical, can have different quantum states.

You are becoming a useful member, keep it up.  +1

🙂

39 minutes ago, Andrew William Henderson said:

Are the atomic particles of the same element exactly the same ..identical ..

'The same' is too vague an expression to be useful.

It depends totally upon circumstances.

So the answer is not always.

Try indistinguishable or interchangeable as the most useful.

I am perfectly happy to hold a meaningful discussion on the whys and wherefores of this, but I will not participate in a repetition of the last thread.

 

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35 minutes ago, Kartazion said:

It should be emphasized that the particles, which are all identical, can have different quantum states.

And it is because they are otherwise identical that fermions must occupy different states in an atom, owing to the Pauli Exclusion Principle. This is one way we know that particles themselves are identical. Another is that we can form Bose-Einstein condensates, which is another phenomenon that has a basis in particles being identical. The reason atomic clocks work so well is that the atoms are identical, so the quantum state oscillations are at the same frequency, which is preferable to an oscillator that is manufactured and would have small differences from item to item.

IOW, the notion that these particles are identical has been experimentally verified.

 

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