I know that it has a cause! It happens to make the nucleus more stable. But some say it has no cause. I am confused actually.
This is not correct. The cause is the type of interaction responsible for the decay. However, those interactions work in a probabilistic manner due to quantum mechanics and therefore have a certain probability per unit time of causing a decay.thnk u very much, then the whole point is that it doesn't explain why it sometimes decays and sometimes remains undecayed, hence it is uncaused.
The fact that single events in a probabilistic distribution are random/unpredictable does not at all mean uncaused. There's no easy way to predict what number comes up when rolling dice, but that doesn't mean there's no cause or clearly known probability for that matter.thnk u very much, then the whole point is that it doesn't explain why it sometimes decays and sometimes remains undecayed, hence it is uncaused.
Few days ago, I read an article "Half-life" in the page askamathematician.com. An extremely simple explanation of the phenomenaI know that it has a cause! It happens to make the nucleus more stable. But some say it has no cause. I am confused actually.
All Standard Model physics is fundamentally stochastic rather than deterministic. "Uncaused" is an unhelpful word to use in this context that clouds understanding rather than enlightening.thank you very much, then the whole point is that it doesn't explain why it sometimes decays and sometimes remains undecayed, hence it is uncaused.
If phenomena that appear random are indeed actually deterministic, then (1) the system while deterministic is at least "chaotic" in the mathematical sense that the outcome is hypersensitive to inputs that are slightly different from each other, and (2) the inputs are completely decoupled from the observable world to such an extent that they product completely unbiased outcomes given what we can control for from what we can observe, which is as a practical matter, indistinguishable from random.I think "cause" is not the best word for your question.
If we have N nuclei, all identical. In a period of time, some may decay, other's don't. That is a "random" process.
The physics phrase that better fits your question is "hidden variables". Is there some variable or property of the N nuclei that we don't know about that "causes" certain ones decay? The answer is, "No." Many scientists, including Einstein, dislike that answer. But it has been verified by experiments.
This is not the right place to go into details but I would like to point out that this statement only applies to some interpretations of quantum mechanics but not all of them.The result is, quantum mechanics keeps causality but drops determinism.
12 digits if you take the whole dipole moment (2.002...)consider the anomalous magnetic dipole of the electron, which is now something like 9 digits of agreement between theory and experiment.