| Re: TOE by Brent Harrington -
07-25-2007, 11:06 PM
I think this is where I ended my last post, if anybody is still following it.
Comparing the electrical and the physical circuits.
The electrical circuit is an inductor made of superconductor, sized to allow one electron at a time to pass. (The circuit could just be a super conductor but being an inductor helps with the comparison). When a voltage is applied to the circuit, charges will begin to move through the circuit. The charges will accelerate, following an exponential curve, until they reach C. At this time an equal and opposite voltage will be produced by the inductor preventing any further increase in current.
For now the only thing I want to take from this is that the the rise in current when plotted on a graph will follow an exponential curve.
The comparison physical circuit is a mass in free space. To make it interesting let us make it a series circuit. The circuit is a rocket that applies a given quantity of force regardless of velocity and a series of masses and scales.
ROCKET-->scale/mass/scale/mass/scale/mass/scale/mass/scale/mass
This circuit will accelerate from zero to C relative to space.
The rocket will apply a force on the first scale until it reads 5kg and will maintain this 5kg reading up to C.
The scales can be considered massless and are only for taking measurements.
Each of the five masses has a rest mass of 1 kg
We start the rocket and begin accelerating. The first scale will read 5kg, the second 4kg, the third 3 kg, the forth 2kg and the fifth 1 kg. As the circuit's velocity rises relative to space, the rate of acceleration will decrease. The acceleration will decrease as
velocity rises until acceleration stops at C. As the velocity rises, the mass of the circuit (resistance to acceleration) increases. The first scale will always read 5kg regardless of velocity because of the design of the rocket control. But as the velocity rises the second scale reading will begin to increase. As will the other scales. Eventually the second scale will read 5 kg, then the third will reach 5 kg, then the third and so on until all the scales
read 5kg at the C.
The acceleration of this circuit relative to space, when plotted on a graph should follow an exponential curve just like the electrical circuit.
Velocity(instantaneous) = C(1-e^-t/T )
C = speed of light
t = time in seconds
T = (tau) = C/a
a = acceleration
e = 2.718
Thats all for today.
Last edited by Brent : 07-25-2007 at 11:09 PM.
Reason: Typos
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