AProudLefty (01-04-2022), Guno צְבִי (01-04-2022), ThatOwlWoman (01-04-2022)
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Shorter version: are imaginary numbers just a calculational convenience? Or do they express a fundamental property of ultimate reality.
Imaginary numbers could be needed to describe reality, new studies find
Imaginary numbers are what you get when you take the square root of a negative number, and they have long been used in the most important equations of quantum mechanics.
Imaginary numbers are what you get when you take the square root of a negative number, and they have long been used in the most important equations of quantum mechanics.
In fact, even the founders of quantum mechanics themselves thought that the implications of having complex numbers in their equations was disquieting. In a letter to his friend Hendrik Lorentz, physicist Erwin Schrödinger — the first person to introduce complex numbers into quantum theory, with his quantum wave function (ψ) — wrote, "What is unpleasant here, and indeed directly to be objected to, is the use of complex numbers. Ψ is surely fundamentally a real function."
https://www.livescience.com/imaginar...scribe-reality
AProudLefty (01-04-2022), Guno צְבִי (01-04-2022), ThatOwlWoman (01-04-2022)
Cypress (01-04-2022), Guno צְבִי (01-04-2022), ThatOwlWoman (01-04-2022)
Isn't it way too early for math? lol
My brain just looks at this and says "nope." Nevertheless I'm gonna try to understand the article.
"Conservatism is the blind and fear-filled worship of dead radicals." -- Mark Twain
Cypress (01-04-2022)
Guno צְבִי (01-04-2022), ThatOwlWoman (01-04-2022)
Guno צְבִי (01-04-2022)
That, and also there is a lot we still don't know about numbers, whether real, rational, or imaginary.
I recently read that only a few transcendental numbers have ever been derived, even though theoretically the quantity of transcendental numbers should be vastly more than the quantity of real numbers.
Guno צְבִי (01-04-2022), Trumpet (01-04-2022)
I do not follow what you mean.
My two cents is that from the perspective of scientific realism, scientific theories can and sometimes do provide an accurate picture of reality, including unobservable reality. Largely because it is assumed the universe is deterministic, or at least can be understood probabilistically.
Knowledge evolves. Obviously. Newtonian mechanics still works reasonably well as an approximation of physical reality, it just does not account for variable moving frames of reference, which was the improvement Einstein introduced.
Guno צְבִי (01-04-2022)
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