Acceleration-free Motion Models on Two-element Number Planes

„Dividing one number by another is mere computation; figuring out what you should divide by what is mathematics.”
(Jordan Ellenberg, How not to be wrong)

I started to clarify the concepts of differential and integral calculus on two-element numbers, with the exception of complex numbers, of course, since its analysis is a well-developed area of mathematics. The article on the calculus was getting too long, so I will summarise its background, and more specifically the important connections between the two-element numbers – which form the basis for their analysis – in this paper. Some of the relations presented here have already been mentioned in my previous articles, but now I have listed the mathematical foundations in the context of differential and integral calculus, in preparation for it, adding new ones and their interpretation.

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On Freedom and Free Will again

I've already written an article about freedom and free will, but I've been listening to so many conversations on the internet about this topic lately that I have to write about it again. Of these conversations, I will only mention the name of László Bernáth, because at last I have a contemporary Hungarian philosopher with whom I agree on more things than I disagree. However, I will not discuss philosophical approaches in my writing, but I will outline my own world view on the basis that I would like to grasp the whole of existence in my thinking, including the functioning of free will.

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Coordinate Systems and Spacetime

“It does not do harm to the mystery to know a little about it. For far more marvelous is the truth than any artists of the past imagined!”
(Richard Feynman)¹

Although the article contains many and deep mathematical connections, it also includes many interpretations and explanations, which may make the old/new concepts of number and infinity in mathematics understandable to those who are not involved in mathematics, and reveal the mystical beauty of mathematical connections.

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¹ Richard Feynman, The Feynman Lectures on Physics Vol. I Ch. 3 / Footnote 3-4 Astronomy

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From my Diary, 23.01.2024.

I listened to the latest conversation¹ of the podcast Mindenségit! with brain researcher Balázs Hangya while doing housework today.

I would like to highlight one topic in the discussion, the one that science has no real theories on yet, so I will write a few words about consciousness.

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¹ Balázs Hangya: Brain research, brain function, learning, consciousness, emotions / Mindenségit!
https://www.youtube.com/watch?v=e7U04VjmfHE 

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