Recent content by simeonz

That is all I needed to know, really. Thanks. What I meant is that that the equivalence formula excludes the possibility for unknown additive to the energy that can be introduced to compensate "negative energy" appearing in the explanation of new physical phenomenon.

Let's assume that a system has zero total momentum. The following relationship between mass and energy should apply: E=mc^2. If a system is overall at rest, does that mean that any internal changes to that system, assuming they leave the system with non-negative mass, will not be able to...

The topic unfortunately is bound to either be abandoned or enter the realm of pure interpretational philosophy, which was not my original intent. I will try to get it closed, because I don't think further discussion will contribute anything. Thanks to everyone.

In retrospect I realized that this is what was meant by "includes all of the possible distributions". That all the possible future universes are manifested simultaneously. Even so, the "odd" universes will have no way to interact with the other branches of time to witness the effect of the...

I interpret the first statement as saying that the probability distribution is not unique for a given wave-function, and the second quite the opposite. Then I will correct this if I can. If this corresponds to "undergraduate" when I made the post, then I apologize, as I assumed this pertains to...

I did not know that. In other words, in QM, the probability distribution itself is not an observation independent reality? Which is the interpretation in question? (Because as you noted there are a bunch, and honestly, I am not sufficiently familiar with either of them.)

Ok. I will focus on the infinite case. The strong law says that the frequencies will converge to the probabilities in the original distribution almost surely. That is because the sample series whose frequencies are uncharacteristic are overwhelmingly surpassed in numbers by the series in...

My hypotheses are that the dice is fair and that the dice is not fair (i.e., its negation). I only need to compare how the posterior probabilities of the "fair dice" hypothesis compare, given the two outcomes. I am evaluating the posterior probability after the two roll events. I have this...

So, if I get 2-3-6-5-5-2-4-1, I should allow the hypothesis to stand. If I get 6-6-6-6-6-6-6-6, I should call the dice loaded? But both have probability 1/68. Yes, a loaded dice is more likely to get the latter result. But a 2-5 biased dice is more likely to get the former too. I could seek the...

Well, that is my point. Suppose that you want to demonstrate that a dice rolls 1/6th to each resting position. Then a six is rolled continuously. There is nothing contradictory in such result. But then, realities that can neither be validated, nor need manifest, appear to my intuition...

Frequentist, only epistemologically bayesian and constructivist. Verifiable in principle by exhaustive measurement and thus fully observable. As a measure of some physical inclination, it appears to me that there will always be possibility to live in universe where the manifested frequencies do...

Yes. To be honest, watching the list of the interpretations on Wikipedia turns you into a window shopper. To my understanding, there are issues involved with having non-local causality versus non-local correlations, but personally, as a neophyte for the time being I would have probably adopted...

I am a laymen of sorts in both physics and philosophy. I embarked on a trip to acquaint myself (gently at first) with contemporary physics. My question is foundational and therefore probably philosophical. If it is off-topic, please kindly point me to any place where such discussions may be...

What is the nature of countable infinitity? (warning: pseudo-philosophical question follows) I can illustrate the question better in specific context: Axiom for the existence of successor operation that is capable of "counting" the set of natural numbers. Is there some phenomenon that...