"The true metaphysics of the square root negative 1 remains elusive." - C.F. Gauss

Cypress said:
That's what Trumpet posted, it's used in impedance calculations, which was news to me but seems to make sense because wave carrier physics must be involved in impedance.
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It's a trig function but you can get negative or positive--in electrical terms leading or lagging--impedance. This is important where you have lots of reactive versus resistive--apparent versus "real"--power in play.
 
Cypress said:
That's what Trumpet posted, it's used in impedance calculations, which was news to me but seems to make sense because wave carrier physics must be involved in impedance.
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T. A. Gardner said:
It's a trig function but you can get negative or positive--in electrical terms leading or lagging--impedance. This is important where you have lots of reactive versus resistive--apparent versus "real"--power in play.
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Okay that makes sense, because the complex number plane contains positive and negative values depending on the angle. Thanks, I never knew there were practical applications of complex numbers in electrical engineering.
 
Cypress said:
Okay that makes sense, because the complex number plane contains positive and negative values depending on the angle. Thanks, I never knew there were practical applications of complex numbers in electrical engineering.
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It has to do with inductors (coils) versus capacitors. These are diametrically opposed and 90 degrees electrically behind and ahead of resistance.

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This becomes important in commercial and industrial uses where you have a lot of capacitance or inductance present. Large continuous welding or electroplating operations are two examples. What you have to do is a power factor correction so that the company gets charged for what they actually use versus what it looks like (apparent power) they're using but really aren't.

I know it becomes an issue in long distance electrical transmission lines, but I've never had to deal with that myself.
 
T. A. Gardner said:
It has to do with inductors (coils) versus capacitors. These are diametrically opposed and 90 degrees electrically behind and ahead of resistance.

wp-1486227658593.png


This becomes important in commercial and industrial uses where you have a lot of capacitance or inductance present. Large continuous welding or electroplating operations are two examples. What you have to do is a power factor correction so that the company gets charged for what they actually use versus what it looks like (apparent power) they're using but really aren't.

I know it becomes an issue in long distance electrical transmission lines, but I've never had to deal with that myself.
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I see, it's phase dependent. Thanks for the info on electrical engineering. :thumbsup:
 
Cypress said:
Interesting. That idea of the reality of i in a fourth dimension is not something I have heard before.
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Timid Nerds Spooked by Others' Spooks

There is a lot of strict censorship from the Quantum Quacks. Their arrogance is suspicious. The real reason the originators of their irrational explanations refused to see the obvious necessity of 4D is that it had been proposed decades before, become a fad, and degenerated into weirdness about ghosts, etc.

The ultimate velocity in the outside but interfacing dimension is c squared. So Einsein's formula is a collision. In fission, the strong force is absorbed, releasing c-squared energy.

Entanglement is the same particle going back and force through 4D at c-squared. That's what makes it seem to be twin particles acting on each other at a distance.

Indeterminacy and gravity are effects from the interfacing 4D. All effects have a cause.
 
Cypress said:
Are imaginary numbers just a mathematical convenience or do they have a tangible reality?

Does quantum mechanics need imaginary numbers?

The square root of negative one doesn’t correspond to any physical quantity, but that doesn’t mean it has no place in the physical sciences. For example, putting an imaginary number in an exponent changes the behavior of the exponential from rapid growth or decay to a steady sinusoidal oscillation. The result is a useful description of the physics of waves.

In electromagnetism and most other fields of physics, imaginary numbers are merely a mathematical convenience. All the relevant phenomena can still be described using nothing but real numbers. Quantum mechanics is an exception: The observable quantities and probabilities are by necessity all real, but the underlying quantum states and governing equations involve imaginary numbers, and there’s no simple way to remove them. But are they just an artifact of the way the theory was written down, or do they really need to be there?

In their new theoretical work, Miguel Navascués of the Institute for Quantum Optics and Quantum Information in Vienna and colleagues shed some light on that question.1 They find that, subject to some postulates about how a quantum theory must be mathematically structured, no real-valued version of quantum theory can duplicate all the predictions of the familiar complex-valued formulation. Moreover, they designed an experimentally feasible test capable of ruling out real-valued quantum theories. In the time since their proposal was made public in January 2021, two groups carried out the experiment—and both found results in favor of standard complex-valued quantum theory.


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What kind of math classes did Cypress have and what grades did Cypress get? This OP makes me wonder.

think-emoji-thinking.gif
 
T. A. Gardner said:
It has to do with inductors (coils) versus capacitors. These are diametrically opposed and 90 degrees electrically behind and ahead of resistance.

wp-1486227658593.png


This becomes important in commercial and industrial uses where you have a lot of capacitance or inductance present. Large continuous welding or electroplating operations are two examples. What you have to do is a power factor correction so that the company gets charged for what they actually use versus what it looks like (apparent power) they're using but really aren't.

I know it becomes an issue in long distance electrical transmission lines, but I've never had to deal with that myself.
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It's real power on the power line, reflected back from such a load. It can cause overloads and tripouts.
Loads in homes and business, if not resistive, are usually inductive (motors and the like). The power line itself is also an inductor and over distance that value can become significant.

So the power company puts balancing capacitors along such lines to correct the power factor.

You may have seen them. they look like a triple bank of transformers mounted on on pole, but they are not transformers.
The other side of these is usually connected to the neutral wire.
 
Cypress said:
The square root of negative one doesn’t correspond to any physical quantity, but that doesn’t mean it has no place in the physical sciences.
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The square root of negative one has no place in either science or mathematics. We all learn why when we are children, but most people opt to forget as they become adults.

Cypress said:

"The true metaphysics of the square root negative 1 remains elusive." - C.F. Gauss​

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C. F. Gauss did not make this statement; The imaginary number i does not equal the square root of negative one. Mathematicians know this well while almost all laymen operate under this egregious misconception (remember, you can never take the square root of a negative number; you learned this as a child).
 
Cypress said:
But if all you are interested is practical applications to benefit your life you really shouldn't be clicking on the philosophy thread.
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The only reason I clicked on this thread is because I happened to read the title and thought, “Oh brother, here he goes again trying to impress a bunch of trolls. “
Then I read all of 63’s posts which were spot on.
I generally ignore your “Is there a god” or your “what’s the meaning of life “ threads but when I saw “The true metaphysics of the square root negative 1 remains elusive” it caught my attention. Like who gives a shit?
 
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anonymoose said:
The only reason I clicked on this thread is because I happened to read the title and thought, “Oh brother, here he goes again trying to impress a bunch of trolls. “
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You seem to get way stressed out about what my interests are, and cannot resist clicking on my threads.

The worst way to impress girls, to impress people at parties, and to impress relatives at family reunions is to discuss math.

It's gotta say something about your social awareness for you to believe otherwise.
 
IBDaMann said:
The square root of negative one has no place in either science or mathematics. We all learn why when we are children, but most people opt to forget as they become adults.

; The imaginary number i does not equal the square root of negative one. Mathematicians know this well while almost all laymen operate under this egregious misconception (remember, you can never take the square root of a negative number; you learned this as a child).
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It's up to you if you want to believe imaginary numbers have no place in math or science.

I doubt your opinion will change mathematics or science.
 
anonymoose said:
Well it backfired.
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There are electrical engineers, people with physics degrees, and interested laypersons who made serious contributions to this thread.

You're focused on the fact you and your boyfriend Dimlight63 have festering grievances about me, and clicking on this thread was really just about your imaginary grievances.
 
Into the Night said:
A convenience and nothing more. Antenna impedance CAN be calculated even without the use of complex numbers.
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I've heard some scientists say it's just a mathematical convenience, particularly at the scale of classical physics.
Into the Night said:
Cypress is trying to attach some Magickal Physics to complex numbers
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I didn't write the article posted in the OP.
The scientists who wrote the article seem to claim that imaginary numbers have some tangible connection to reality at the quantum scale; they're not just subjective conveniences.
 
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