I see a close relation between some of the basic questions of physics and the various definitions of continuum hypothesis. First I mention the problem called quantum gravity. Serious difficulty is that some quantities become infinite in general relativity and quantum physics as well. An even greater challenge is creation of unified theory. I do not want to analyze the more successful and less fruitful attempts of unification. Instead, I'll relate these inefficient efforts with a mathematical question. Seemingly1 the most diverse properties of general relativity and quantum physics are their dealing with space and time, I think, and these attitudes are linked to the fact that one of them describes the enormous universe, and the other explains the micro-world.…

The space-time from a new perspective I have written a lot about the relation between the notions which are quoted in the title. I would like to summarize what we have known about them so far and what's totally new knowledge considering their attributes. Timeliness of this theme is yet that there was just one topic in a special edition of the Scientific American1 in the early this year. This topic was a matter of time. Hereinafter I write about a special characteristic of space-time and this attribute was not described in the mentioned magazine. In my former articles I have already written about these interesting attributes of space-time, but I did not describe the whole depth of the subject. Content 1. Evolution…

Scientific American Mind - May/June 2012 Three articles piqued my interest in the scientific magazine Scientific American Mind in the latest issue: - Finding Free Will by Christof Kock - Sleep’s Secret Repairs by Jason Castro - Are We Born to Be Religious? by Vassilis Saroglou My comments related to the articles are following. 1. On the free will - again This theme is one of my favorites, as I wrote earlier. Some conclusions in the article are questionable, I do not agree with them. The described experiments are interesting, but they are explicable from quite another aspect as well. The article lists some classic definitions of freedom and its examples, and then the author of the article writes about determinism,…

Unfortunately, I have not been yet not only executing but I have never seen any experiment which has been carried out with a light or other particle radiation. So I am relying on solely my readings for imagining the light radiation which is an every-day experience for everybody. There is large literature on this subject, and I have read a lot - but not enough - on this subject. Light - or, more generally, electromagnetic radiation, and what is more particles1 as well - can sometimes behave like particles and sometimes as a wave. Of course to the understanding of this assertion we need to know the meaning of the wave- and particle-behavior. The electromagnetic radiation is not accidentally a…

I wondered a lot how to go on proving the applicability of two-element numbers in the probability theory. In my article titled "The mathematics of quantum theory I" I said that in the probability of the macro-world, two-element numbers can be used, or more precisely parabolic numbers can be used as probability amplitudes. This feasibility is foreshadowed by the property of the parabolic numbers: In their sum and multiplication the moduli of the second component of the parabolic numbers do not affect the moduli of the first component of the sum or of the product, and that the sum of the squared moduli of the probability amplitudes, i. e. the classic probability is nothing else than the square of the…

First approach Generally, neither mathematicians, nor physicists like it when somebody talks about the philosophical interpretation of mathematical models. One of the reasons for this is that many people try to speak about fields of physics interesting in a philosophical sense without the knowledge of the mathematical language, using merely verbality, for example about the relativity theory, or about quantum physics. This is apparently an impossible undertaking since mathematical models are born just because for explaining of some phenomena, verbal description alone is not sufficient. I also drew a long bow when I wrote that the relation of space and time is similar to the mathematical relation of finite and infinite in a special sense. I had to add the…