Euler’s identity and nature of identity

e^{i*pi} + 1 = 0

Every one appreciates its beauty. But I’m more curious about what it means. Let’s break it down

e represents compounded changes, which means, when it change, it take into account what was before.

i represent complex plane and dimension

pi represent symmetry. Pi is not merely related to circle. It’s a number associated with symmetry.

1 is an identity. You can say 1 anything, so even if it’s a person, dog, universe, atom or quantum spin network, you can assign number 1 to it and segregate it as a “1” identity

0 means nothing. Remember that the antithesis of 1 is not 0. Antithesis of 1 is -1. The opposite of something is not nothing. The opposite of something is something else that when combined with it, produce nothing 0.

= means equality, Exactly the same

So what does this mean

e^{i*pi} + 1 = 0

1 = – e^{i*pi}

I think it means that if we have an identity, which is 1, and then we rotate it in a symmetrical way, which is pi, in a complex plane, which is i. It will produce the exact antithesis of the identity. e here means the changes or rotation compounded upon itself. There is nothing sudden or lost. There’s no step. Just gradual change.

For example, if you have a wave, and then you flip it in a mirror sense, to produce another wave with exact opposite characteristics, when those 2 waves combined it will cancel each other out and produce nothing