Electrical Impedance--Resistance is Futile
Posted: Fri Mar 14, 2008 7:39 pm
Gopi wrote:
Ž = Zejθ
Which just happens to be the complex form for electrical impedance (the A/C version of resistance).
What I believe this is showing is the magnetic rotations in time (turns) as resistance/reactance to the flow of space (the electron). The momentum of the 2D rotation is t2/s2. The electron, being a unit of SPACE, appears as a "distance" to momentum, and the momentum of an object is altered by distance. The momentum per unit distance = t2/s2 / s = t2/s3 = Resistance (basically a 2D version of Force, t/s2).
When this resistance runs for a period of clock time, t, we get Rt = t2/s3 x t = t3/s3 = MASS.
I think this is a fairly significant conceptual breakthrough. I know that I was stuck in the thinking that resistance was as Larson described, mass per unit time. But considering that "mass" is made up of 2D rotations, NOT 3D, the momentum per unit distance makes a lot more sense.
The energy of the system is either:
E = m c2 (mass)
or
E = Rt I2 (resistance)
Kudos to Dave for his RStheory post on pressure, which got me thinking in terms of momentum!
It just hit me that if you add a magnitude, Z, and a phase angle θ to the natural exponent form of the Turn, and use 'j' instead of 'i' for the imaginary operator, you get:1 + i/2 - 1/6 - i/24 + 1/120.... = 1 + i/2 + i2/6 + i3/24 + i4/120 ... = ei
This is a MAGNETIC rotation, hence a polar-2D rotation. Also, from the diagram, we can see that it is just the Turn, so we have the relation:
Turn = eix
Shift = eix1 - eix2
Ž = Zejθ
Which just happens to be the complex form for electrical impedance (the A/C version of resistance).
What I believe this is showing is the magnetic rotations in time (turns) as resistance/reactance to the flow of space (the electron). The momentum of the 2D rotation is t2/s2. The electron, being a unit of SPACE, appears as a "distance" to momentum, and the momentum of an object is altered by distance. The momentum per unit distance = t2/s2 / s = t2/s3 = Resistance (basically a 2D version of Force, t/s2).
When this resistance runs for a period of clock time, t, we get Rt = t2/s3 x t = t3/s3 = MASS.
I think this is a fairly significant conceptual breakthrough. I know that I was stuck in the thinking that resistance was as Larson described, mass per unit time. But considering that "mass" is made up of 2D rotations, NOT 3D, the momentum per unit distance makes a lot more sense.
The energy of the system is either:
E = m c2 (mass)
or
E = Rt I2 (resistance)
Kudos to Dave for his RStheory post on pressure, which got me thinking in terms of momentum!