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On quantum uncertainty.
I am no scientist but I did read a bit on the subject. From what I understand, there is no total agreement on whether the quantum world really is random or not. Infact the word that scientists use is “uncertain”, which is not a synonym for random. Some believe that we simply lack the instruments or the detailed knowledge of quantum events to determine their precise cause. It seems that quantum entities do behave statistically, hence giving indirect evidence that they might be the under influence of some laws.
The two major theories that show the uncertainty of the quantum world are the Uncertainty Principle and Schrödinger Equation.
The Uncertainty Principle, which states that one cannot know the momentum and position of a particle simultaneously. This is because we must hit a particle with another particle in order to gage it’s position or momentum.
Schrödinger wavefunction theory describes all particles as a probability waveform; because Heisenberg's Uncertainty Principle dictates that position and momentum can't both be known to arbitrary precision. This led to the famous Schrödinger Cat though experiment. Though it should be noted that Schorodiger did not intend to educate with this though experiment but rather to show the absurdities that can result from the wavefuncition concept of the quantum world.
In the end though I believe that the burden of proof lies with the Determinists. Since we simply do not know if there could be random events in this world, I suppose that Determinism will never be proven absolutely correct. Though it is often argued that the workings of the quantum word have no bearing on human action. Since any quantum uncertainty is canceled out by statistics. I do not know enough about this to discus it further though.
A side comment: when Albert Einstein said that “God does not play dice with the universe." I believe he was advocating that everything has a cause.
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