hey
@Honor what're you trying to get at?
If human behavior were deterministic, people would not be able to claim the poor are poor because they just don't "get it", don't work hard enough, etc. Ties into the nature vs nurture debate where an aforementioned criterion for a good life is success - i.e. wealth.
To expand on this - we treat measurements in centimetres and millimetres as 'exact' because the error created by the uncertainty principle is too small to matter for what we're doing, and many orders of magnitude smaller than other errors in our measurements. That stops being true once you're measuring on a quantum scale. The problem isn't that we don't have good enough machinery to measure these things exactly - the problem is that the act of measuring a particle's position destroys some of the data necessary to measure its velocity, and vice-versa.
I don't think that's what Lexicus meant, though. The position-velocity restriction, ala Heisenberg's uncertainty inequality, is a fundamental one, because the product of the change in these two properties is restricted with a constant - i.e. it is not about observations interfering with the data collected, but I do realize that is another issue with experimenting at the sub-atomic scale.
This has little to do with the wave-particle duality as far as I understand it. It's a fundamental characteristic of any quantum system.
Planck constant (Wikipedia): The
Planck–Einstein relation connects the particulate
photon energy E with its associated wave frequency
f:
Therefore, Planck's constant is a fundamental property of systems that incorporate electromagnetic and EM-like waves, which makes it a fundamental part of systems assuming wave-particle duality.
Yes, it is. Just because quantum physics predicts wave like behavior for sub-components of matter, this does not mean macro-scale matter behaves the same way. Obviously, we cannot assume infinite precision for our measurements of the position and velocity of macro-scale matter, so a maximum precision value needs to be determined for the assertion.
The only scientific fields that are not "still developing" are the ones (like, say, phrenology) that have been dismissed/abandoned.
Let me correct myself: still developing and highly theoretical.
I see no more room for free will in an indeterminate world of randomly-moving particles than in a deterministic world where everything proceeds on rails from the initial state. Free will is better seen as a model useful in certain contexts than as some transcendent truth, anyway.
That is an interesting point of view, could you elaborate?