Writing about theories: New things for science doesn't break old theories, they are filling our way to see and model things
At the first, we must understand that if somebody has made mistakes or being not sharp in some calculations, that doesn't mean that everything, what has been done in that field of science is also automatically wrong. In the next chapter, I use persons Pythagoras, Euclid, and Hilbert as an example of things that might sometimes happen, when the accuracy of the calculations is growing.
Do you know that geometry was a national secret in the past, because if the person knew geometrical formulas, that made this person able to work as a master in the building sites? That thing guaranteed the jobs for those people, and that's why they wanted to keep those things like Pythagoras' theorem (a²+b²=c²) out of regular people eyes. The thing, that is telling about the change of science is that today we are learning those things or at least Pythagoras' theorem in primary school.
Here we are asking about the limits of the theories, and then we can ask the same way was Pythagoras wrong, because one mathematician is known David Hilbert realized that there was the difference between results calculations, what he made by using the calculator and results, what Euclid (yeas, I know that the first name was Pythagoras) got by using the brains? The thing is that Hilbert used auxiliary equipment for calculation, and he calculated those famous calculations by using geometrical images, which are drawn on the ball layer.
So if Euclid made an error, that doesn't mean that Pythagoras was wrong. This is the most remarkable thing in the axioms of David Hilbert. When some person, who has the last and the most effective tools in use, finds something new and interesting that doesn't mean that this thing turns to theory. And from theory is a long way to commonly accepted theory. There is the possibility that theory doesn't have a match in nature.
One of those things, that doesn't have a match in everyday life is complex numbers (1). Do you know the numbers what are a form x=x+yi like 2+3i, what means that the number has an imaginary participant? There are no limits for the numbers of the imaginary participants of that number, so there can be limitless dimensions in that virtual number, what we ever need in real life. What does that mean in nature? That means the number has another dimension, and those numbers are used to calculate some space geometrical calculations.
Mathematics is virtual science, where everything must be proven by using mathematical rules. And if the person is an excellent mathematician, that doesn't mean that the same person is an excellent physician. The thing is that even the most excellent mathematicians are not always making new calculations or formulas to the science that is the most powerful tool in the many other sciences like engineering, physics, and computing.
The thing is that when we are observing the mathematical formulas by using decimals, where is billions of numbers, and use the supercomputers, what can model multiple geometrical layers, we can say that we can find errors almost from every formula, what we have ever seen, or do we?
Are those errors so-called real errors? And here we are going to talk about one very interesting thing, can we talk errors, if some person has used let's say 30 numbers decimals, and some other has been used a billion number decimals? When we are thinking about the old theories about gravity, what were written by Sir Isaac Newton a long time ago, we must realize, that those theories still exist. And Einstein's formulas have just filled the formulas, what was made to explain the universe.
So what's the point of this thing? The thing is that new theories are not always or ever actually fall the old ones. Theories are tools, that researchers and theorists are made for tools for science. And the mission of science is to bring new ideas for the engineers, whose mission is to form the observations, what some researchers have made to some products.
And finally, we are going to the point, was Einstein wrong? The thing is that this man was not wrong in the normal way to think. His theories are still powerful tools. But are they suitable to work in extremely small conditions? Those conditions are existing only in the world between the electrons and particles in the nucleus of atoms, and those distances are so short, that we cannot even put the electron in those holes.
So when we are starting to think Pythagoras again, we can say that this man was mainly right. And that's why we must still learn the Pythagoras quote or Pythagoras' theorem that a²+b²=c³, what is the way to calculate the length of hypothenuse in the right-angled triangle. When we are thinking about the way, what the Pythagoras used, that result was impressive. Then we must realize, that when we are making things in the field of science, we are binging something new in that field. And even if mathematics is looking boring and only the virtual thing, that thing is an excellent tool for many other sciences.
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