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The possibility of randomness in physics doesnt particularly bother me, but contemplating the possibility that quarks might be made up of something even smaller, just in general, leads me to think there are likely (or perhaps certainly?) thousands of particles and forces, perhaps layers and sub layers of forces, at play that we do not know about. So this got me thinking about quantum mechanics.

I'm no physicist, but I do find it interesting to learn and explore the fundamentals of physics, so I'm wondering: Could the randomness found in radioactive decay as described in quantum mechanics be the result of forces and / or particles too weak / small for us to know about yet resulting in the false appearance of randomness?

Or rather, can that be ruled out?

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    $\begingroup$ It funny that one of the answers to this question says that the hypothesis isn't falsifiable and the other falsifies it. $\endgroup$ Commented Feb 24, 2016 at 10:42
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    $\begingroup$ Possible duplicate of Is the universe fundamentally deterministic? $\endgroup$
    – ACuriousMind
    Commented Feb 24, 2016 at 12:10
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    $\begingroup$ This question can essentially be paraphrased as "Could things we don't understand be explained by things we don't know that we don't know". Naturally, the answer is yes. $\endgroup$
    – J...
    Commented Feb 24, 2016 at 17:18
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    $\begingroup$ @J... I meant "The answer isn't yes" $\endgroup$ Commented Feb 24, 2016 at 20:17
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    $\begingroup$ @OscarCunningham I don't think Peter's answer says that at all. All he said is that there is no classical "hidden variable" theory that can replace the effectiveness of QM. That doesn't mean that there isn't a deeper thing going on that we don't understand. We know QM isn't complete so it stands to reason that something else could at some point provide a more complete explanation. $\endgroup$
    – J...
    Commented Feb 24, 2016 at 20:24

2 Answers 2

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As noted in the comments this is a much studied question. Einstein, Podolsky and Rosen wrote a paper on it, "Can Quantum-Mechanical Description of Reality Be Considered Complete?", published in Physical Review in 1935, and universally known today as the EPR paper.

They considered a particular situation, and their paper raised the question of "hidden variables", perhaps similar to the microstates which undergird thermodynamics. Several "hidden variable" theories have been proposed, including one by David Bohm which resurrected de Broglie's "Pilot Wave" model. These are attempts to create a quantum theory which gets rid of the random numbers at the foundations of quantum mechanics.

In 1964 Bell analyzed the specific type of situation which appears in the EPR paper, assuming that it met the conditions Einstein et al had stipulated for "physical reality". Using this analysis he then showed some specific measurements that are in agreement with any such hidden-variable, classical theory would satisfy a set of inequalities; these are today known as the Bell inequalities. They are classical results.

He then showed that for ordinary quantum mechanics that the Bell inequalities are violated for certain settings of the apparatus. This means that no hidden variable theory can replace quantum mechanics if it also meets Einstein's conditions for "physical reality".

The EPR abstract reads: "In a complete theory there is an element corresponding to each element of reality. A sufficient condition for the reality of a physical quantity is the possibility of predicting it with certainty, without disturbing the system. In quantum mechanics in the case of two physical quantities described by non-commuting operators, the knowledge of one precludes the knowledge of the other. Then either (1) the description of reality given by the wave function in quantum mechanics is not complete or (2) these two quantities cannot have simultaneous reality. Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that if (1) is false then (2) is also false. One is thus led to conclude that the description of reality as given by a wave function is not complete."

In fact, one can run quantum mechanical experiments that routinely violate Bell's inequalities; I'm currently involved in setting one up which will be validated by violating Bell's inequalities. People have been doing this for over 40 years. The main argument against closing this chapter are the various "loopholes" in the experiments. Recently it has been claimed that a single experiment has simultaneously closed all of the loopholes. If that is true, then there are no classical hidden variable theories which can replace regular quantum mechanics unless they are grossly non-local. Einstein certainly would not think that these were an improvement!

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    $\begingroup$ Regarding the claim of having closed the loopholes, see Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres by Hensen et al. and Strong Loophole-Free Test of Local Realism by Shalm et al. $\endgroup$
    – MvG
    Commented Feb 24, 2016 at 9:59
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    $\begingroup$ I actually not really read out of it you are answering yes or no to OP $\endgroup$
    – Zaibis
    Commented Feb 24, 2016 at 10:47
  • $\begingroup$ If you read the two papers noted by MvG you will find that at least one unfalsifiable claim remains. The important thing to note is that every experimental result is consistent with quantum mechanics; Einstein didn't even question this. So there is no need for a hidden variable system; and most of the loopholes are closed. Today we are designing systems which rely on quantum mechanical results that violate the Bell inequities, such as quantum teleportation. $\endgroup$ Commented Feb 24, 2016 at 11:08
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    $\begingroup$ Anyway I remember in these seminars that the speaker showed how we have non locality both if we assume completeness of QM and if we don't. However I don't really see something too wrong about non local hidden variables theories... I mean: QM is non local so it's nothing new. The whole thing seems to be about Einstein premise that we want universe to be local, which simply seems not to be the case, but this only tells us that Einstein was wrong and we should change the notion of physical reality. (But I may have misunderstood/forgot quite a bit of what I heard). $\endgroup$
    – Bakuriu
    Commented Feb 24, 2016 at 19:42
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    $\begingroup$ @A.S.: sorry, but I don't even know what the word ontological means. I'm an experimental physicist and engineer, not a philosopher! $\endgroup$ Commented Feb 25, 2016 at 2:56
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The answer to your question, despite what commenters are saying, is yes, our observations in physics could be caused by factors that play a part on such an unreachable-small scale we can't detect them yet.

This even has precedent: before Einstein we couldn't tell what was causing the seemingly erratic movement of microscopic objects. See animation (source):

enter image description here

His description of what we now call Brownian Motion correctly described the motion of the blue ball as a result from constant bombardment of the much smaller red balls. While this doesn't seem helpful at first, the laws of thermodynamics and rules of probability help use derive useful macroscopic quantities of motion at the cellular level, such as how far the blue ball will be from it's starting center after a certain amount of time.

Perhaps, yes, little tiny Planck-length scale balls are bombarding the inside of all nuclei causing the emissions we now describe with the weak force. However, what you are suggesting is not doing physics. In this field, if you can't observe your prediction, you cannot expect others to take it as a de facto model of nature.

While you might be right about the cause of QM phenomena being these tiny, difficult to measure interactions, without any sort of proof you are just doing math (and without the math, you're just doing science fiction). This has been one of the leading criticisms we hear again and again about string theory.

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    $\begingroup$ I would like to reiterate OP's point is not falsifiable: randomness found.. be the result of forces and / or particles too weak / small for us to know about yet. This is always a possibility, but since it's not falsifiable it is not physics. $\endgroup$ Commented Feb 24, 2016 at 4:06
  • $\begingroup$ Well, I think most will dissagree with me on this, and hence I dont claim to be a physicist per se, but, without knowing the math, I often formulate physical representations of the physics in my mind, and it seems to me that if I can hypothesize behavior, and then observe correlating behavior on two opposite extremes, for example the way gravity works on the simplest most fundamental level under normal crcumstances, and then the way it affects objects near a black hole, if my hypothesis physically matches the behavior observed at both extremes, ... $\endgroup$
    – J.Todd
    Commented Feb 24, 2016 at 7:23
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    $\begingroup$ What? This completely ignores the theoretical and experimental demonstrations of the violation of Bell inequalities. $\endgroup$
    – DanielSank
    Commented Feb 24, 2016 at 18:04
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    $\begingroup$ @DanielSank Hi. Well. I truly don't understand why have you said that. Where does he ignores it? The experiment you said indeed does indicate that there cannot be local determinism in quantum mechanics. Fine! But how about non-local determinism? How about quantum non-equilibrium theories? This experiment does not rules out non-determinism. The word "local" is quite important and cannot be ignored. I think this answer is nice: It is saying: "Always trust experiment", and also saying: "Without experiment, one is just doing math". $\endgroup$ Commented Mar 29, 2017 at 23:29
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    $\begingroup$ @Physicist137, yea, I never understood either the downvotes or the agreement with Bell-Inequality-Shoutout-Guy. It was responses like this that made me realize Physics.StackExchange is "science by popularity" and caused me to stop participating. $\endgroup$ Commented Mar 30, 2017 at 0:41

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