Anyways if you want to be blue pilled you've come to the wrong server and you should go to a NASA pro server and forget about this server's existence @3spurr

Think of it as a bad dream if you will

oh no i like this place

I remember some many years ago, I used to occationally watch CNN to get a little update on what's goin on in the world.

i disagree with almost everything here

but its interesting, and so is the debating

I think ONN is a better news source than CNN

Debating? Why bother if you don't believe it?

yeah agreed, The Onion is a better news source tho

spacetime is fake

time is an imaginary dimension of space? really? it was just a hypothetical idea

it would be a little more realistic if you multiplied spacetime by imaginary to obtain a quaternion

space is defined by matter (a standard), time is defined by matter (a standard). How do you bend space and time apart from the matter that defines them?

wym imaginary dimension

yeah i'm curious

I think its pretty clear that to describe an event occurring you need at least 4 coordinates

because the "4th dimension" is c.t.sqrt(-1)

So what coordinates would you use to describe an event

I feel like these two methods would be equivalent

Also if you use an 'imaginary' dimension you run into the issue of the physical significance of an imaginary value of matter or time

Like in the analysis of electrical system you use imaginary numbers to simplify complex equations; then you take the real part of em at the end

the use of imaginary does not need only apply to electrical systems

Yeah I know, I am asking what advantage it would provide you to use a complex space

As opposed to just a real one

What advantage does i^2 = -1 give you

It turns out imaginary numbers are useful for writing waves in terms of exponentials so they pop up there a lot

But idk if you'd call an entire dimension imaginary

Let a system be a function of e^ikt, where i = sqrt(-1), k is a constant, and t is time. The system will oscillate.

yeah but if we say have some a/c current of amplitude A and write it as e^ikt, we take the real part of that when we plot the current vs time

imaginary is good for representing oscillating systems (vibrations, etc.)

Working with physical quantities we concern ourselves in the end with the real part

in optics, imaginary index of refraction is a good way to represent how absorbant the material is

When finding probability distributions of wave functions we take the complex conjugation of the wavefunction and multiply it by the wavefuntion before we integrate

So as to get a real value

refractive index for materials are usually complex values

It's not like we are saying imaginary numbers have physical values however

We end up taking the real part of the equation in the end

the real and the imaginary components have real applications

Yes but I am saying the use of imaginary numbers are used in physical systems so far as during calculations their behavior is similar to sine waves, and simpler to work with, so we work with them there; then when we calculate physical results we take the real part of our imaginary values

I believe the real component refractive index determines the wave propagation speed, while the imaginary component determines the absorbancy, if that's the right word

Yeah but I bet when you calculate physical consequences you end up taking the real part