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From: sobriquet <dohduhdah@yahoo.com>
Newsgroups: sci.math
Subject: Re: The splendor of true
Date: Sun, 9 Mar 2025 01:23:58 +0100
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Op 09/03/2025 om 00:54 schreef Richard Hachel:
> A nice contributor pointed out that the imaginary universe based on i, 
> which is an interesting idea to find roots to equations that do not have 
> any, 

This is perhaps a misunderstanding on your part. Complex numbers will 
also crop up for polynomials that have real roots where you still need 
to deal with complex numbers in order to obtain these real roots.

https://youtu.be/cUzklzVXJwo?t=932


> that is to say, roughly, to find the roots of the symmetric curve 
> pointed at $(0,y) in the Hachel system.
> 
> Although physicists use incorrect complex products, since for me, the 
> real part of a complex product is (aa'+bb'), and not (aa'-bb'), they 
> nevertheless manage to find pretty figures.
> 
> So I wondered, what would happen if, instead of working with their 
> equations, we worked with mine.
> 
> Into what strange world would we fall, if, instead of using Z=aa'- 
> bb'+i(ab'+a'b), we used the much more logical and natural equation 
> Z=aa'+bb'+i(ab'+a'b).
> 
> How would the "Mandelbrot" or the "Julia" obtained be less pretty?
> 
> Isn't beauty the splendor of truth?
> 
> R.H. (suivi sci.math)