physicsdude
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Level 222 Comments: Mind Blower Offline
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Numbers are all theoretical concepts, we just assign them to real things for convenience. It's very difficult to define what makes something a 'whole' thing or 1 of something, instead of 0.99845 or 1.0328 of a thing.
Imaginary numbers are often used to describe things in another domain. For example oscillations are described with real numbers to describe their amplitude and wavelength in the physical domain and imaginary numbers to describe their phase in the time domain.
There are plenty of examples but that's a big one since just about all forms of kinetic energy is oscillations.
Math is the only indisputable truth.
"You can't explain green to a blind man, or vibrato to the deaf, but they can all come to understand five."
It's truly a universal language.
So you're telling me imaginary numbers are something that exist and can actually be observed in the world and not just a conventional way we've found to make calculating integrals easier?
Numbers are all theoretical concepts, we just assign them to real things for convenience. It's very difficult to define what makes something a 'whole' thing or 1 of something, instead of 0.99845 or 1.0328 of a thing.
Imaginary numbers are often used to describe things in another domain. For example oscillations are described with real numbers to describe their amplitude and wavelength in the physical domain and imaginary numbers to describe their phase in the time domain.
There are plenty of examples but that's a big one since just about all forms of kinetic energy is oscillations.
It can be argued that physics at its fundamental level is just math, which is reasonable to think given that math is so useful to describe everything we deal with in physics. But to say that physics don't tell us anything because math, is simply wrong.
A lot of what we know in physics would never have been discovered though pure math, i can see how mathematicians might come up with Newtonian mechanics, like his law of gravity and such. But electromagnetism took more than a hundred years to understand even with a lot of experiments being done, where many of the results were highly counter intuitive. To claim that electromagnetism could have been understood with just math tells me that you have not studied that subject.
It gets even worse with Qauntum physics, i can say for certain that such mechanics would not be taken seriously without experiments.
One could in principle use solve the Schrödinger equation for every molecule, but the calculations that has to be done for even the simplest molecules are immense.
Have you tried solving it for simple molecules?
Things like DNA would just be hopeless to calculate with those methods. One has to use the methods of chemistry for such systems.
The same thing could be argued for biology, cells are huge compared to molecules,and solving the Schrödinger equation for such a system is out of the question
The view that physics is all about creating mathematical (or loosely mathematical) models of reality is hard to deny. My favorite quote in this regard: Max Tegmark, vimeo.com/album/2675497/video/83602583 , "the only properties the electron has, are mathematical properties."
But anyways, there are fields called: "quantum chemistry", "quantum bio", "mathematical physics", so come on, the comic is fine. (To any uninitiated: You don't actually solve the schrodinger equation in those fields, but you use tricks: the renormalization group, which lets you figure out the macro properties of micro classical or quantum systems. Numerical methods, like numerical path integral sampling. Or quasiclassical methods, where you leave one part of the system quantum and assume everything else to be classical)
Bravo.
10/10.
IGN.
Praise Gaben.
Enthalpy we can predict accurately at any scale of systems.