Could aliens have completely different kind of mathematics what we have?

Kimmo Huosionmaa

I lent the heading for this text for one article, what I have just read. And I'd like to say something about our mathematical system, what bases the thing, that we have ten fingers. That's why our numerical system consists nine numbers, and of course, number zero, what means "empty".  That's why we are calling out the numerical system as the "decimal system", and actually this term is caused, that when our calculator comes to the end of the continuum, we mark this point with numbers one and zero, what are consisting number ten.

That means the "full". The first number and mark for empty means, that the calculator must begin to calculate or fill the second line of numbers. And when the second line of numbers is full, the first number turns two and the last is again empty. This means of course that the second line of numbers is filled. We can continue like this forever because there is no end for lines of numbers.

With computers, we are facing the thing, what is called the "binary system". In that system is two numbers one is full, and zero is open (or empty). This is very remarkable because this binary system is making microprocessor functional. And the thing, what makes very difficult to make the so-called quantum computer, is that ever microprocessor in the world can handle only one operand per case, and this is because it is connected to the binary system. And that numerical system makes impossible to make two or more operands per case.

When we are thinking about other numerical systems, we must first understand that normal decimal system and the binary system's number of numbers are the pairs. This means that we could also make numerical systems, where is not paired number of numbers. The simplest of those systems is where the line of the numbers is three numbers long. Here the end of the numerical line is after number three, and that means that the line of the numbers is filled after number three.

This is the question about communication with hypothetical aliens. If we don't know their numerical system, we cannot open their messages. And if the hypothetical aliens would think a little bit like us, but they would have three fingers they would have the numerical system what consists of three numbers, would that mean, that we could not open that message with the computers, what handle the binary system.

Another thing is if the humanoids would not use normal computers, what means that they would use quantum computers, would the message be so heavily coded, that we ever cannot open it. Maybe they would use the trick, what is known as "linear ( or modular) algebra", and that means that the coding machine would calculate many extreme long numerical calculations at the same time.  And even the most modern computers cannot make that thing. In this case, the computers calculate their own parts of the numerical operand, and they would connect together.

Those operands need very hard calculations. The thing is that everything, what is hard for the normal computer is very easy for the quantum computer. If the hypothetical humanoids would use their personal computers like tablets or laptops, they might think that their message would be easy to open, and maybe they have forgotten normal or binary computers a long time ago. They might want to make that hypothetical message easy to open, but in this scenario, they don't understand, that they are making too hard messages that we could open it. So they forget, that everybody is not on their technical level.