Comment on They are watching

• jarfil@lemmy.world ⁨1⁩ ⁨year⁩ ago

  It’s all fine… except for the part where reality has a √-1 component.

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  • ChaoticNeutralCzech@feddit.de ⁨1⁩ ⁨year⁩ ago

    Well, in AC circuits, having √3̅+√-̅1̅ A of current makes as much sense as having 2 amps with a 60° phase shift. It’s just easier notation for calculations - Cartesian coordinates for what would otherwise be polar.

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    • jarfil@lemmy.world ⁨1⁩ ⁨year⁩ ago

      That’s BS notation. If you want Cartesian, just use 3i+1j, no need for some impossible √-1 that you then redefine some operations for, just so it becomes orthogonal to R.

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      • dyen49k@kbin.social ⁨1⁩ ⁨year⁩ ago

        You might want to look up geometric algebra for a better geometric interpretation of complex numbers than the complex plane with a "real" and "imaginary" axis

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      • ChaoticNeutralCzech@feddit.de ⁨1⁩ ⁨year⁩ ago

        The nice thing about 𝑖 = √-̅1̅ is that you don’t need to redefine any operations for it, ℐ𝓂 is “automatically” orthogonal to ℛℯ.

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