Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: physics made simple- just divide by 2
Replies: 2   Last Post: Sep 7, 2013 12:32 PM

 Messages: [ Previous | Next ]
 Tom Potter Posts: 497 Registered: 8/9/06
Re: physics made simple- just divide by 2
Posted: Sep 6, 2013 3:51 AM

"GogoJF" <jfgogo22@yahoo.com> wrote in message
> This is how our instruments work.

Several factors come into play
when equating measurements based on
either cycles (Quanta) or radians (Real) to reality

Cycles are bosons and many bosons can occupy a point.

( You can add or take away cycles from a pendulum
or oscillating system. )

The measured value of a batch of bosons
depends upon how the measurement is made
and expressed:

quantum count
quantum count per reference quantum count
peak
peak to peak
average
quasi-peak [ Similar to average but with different averaging period]
RMS [ The root mean squared of a variable.
Used when it is desirable to consider "squared" effects.
Velocity^2, I^2, E^2, distance^2, etc. as "squared" effects involve power,
and power involves heat, and heat involves entropy]
etc.

Observe that peak and peak to peak
quantize a batch of bosons at a point in time
whereas quasi-peak, average and RMS
quantize the batch over some time period.
[ RMS is an effort to extend the time period to infinity.]

1. The most fundamental physical property is angular displacement.

2. Quantum changes occur when systems exchange angular displacement.

( You can add or take away cycles from a pendulum
or oscillating system. )

3. The most fundamental quanta of change is best modeled by "i'
( The square root of minus one. ),
as it denotes both magnitude and direction.

4. Quantum changes occur in quanta of i^n
http://www.microwaves101.com/Encyclopedia/quarterwave.cfm

http://www.microwaves101.com/ENCYCLOPEDIA/smithchart.cfm

5. i^1 = a quarter cycle counter-clockwise angular displacement
i^2 = a half cycle counter-clockwise angular displacement
i^4 = one cycle counter-clockwise angular displacement
i^n = n quarter cycles counter-clockwise angular displacement
i^4n = n cycles counter-clockwise angular displacement

6. The quanta units of angular displacement include:
a. cycles = i^n/4
b. half cycles ( cycles * 2 )
c. Quarter cycles ( cycles * 4)

7. The real number units of angular displacement include:
a. radians = ( 2 * pi * cycles )
( Which is an angular displacement referenced to a radius unit.)
b. action = Planck's Constant * i^n/4
( Which is an angular displacement referenced to an energy unit.)

8. Angular displacements are measured using
an external standard frequency source.

Since 1967, the International System of Units (SI) has defined
the second as the duration of 9192631770 cycles of radiation
corresponding to the transition between two energy levels of the caesium-133
atom.

In other words, although i^n is the most fundamental quanta of change,
in order to measure it,
it must be referenced to an external source,
and at the present time,
that reference is an energy level transition of the caesium-133 atom.

9. The Potter Equation
x = e^(i^n * m*pi) = e^((i^n)^2 * k)

expands the static "Euler Identity" equation (e^(i*pi) + 1 = 0)
http://www.songho.ca/math/euler/euler.html

to express how change occurs.
and is the most fundamental equation of Nature.

( Note that "m" and the "k"
interface quanta angular displacements to a linear space.
2*pi*r, pi*d, k = pi*n*r )

The Potter Equation which features quanta of angular displacement

is more fundamental than e = hf
( Which features Planck's quanta of action.)

and is more fundamental than e = mc^2
( Which features Einstein's non existent quanta of energy.)

10. Change is conveyed from sources to sinks in quanta of i^n,
( Quarter wave quanta )

Planck's Constant is used with a unit reference
to convert angular displacement quanta <n> to action quanta <x>.

( i^n * h = action )

And Einstein's quanta of energy is action quanta "h" affected by velocity.

11. Quanta of angular displacement tend to
migrate from high temperature systems
to contiguous lower temperature systems.

A system has an input and an output
and exchanges internal angular displacement
between static and dynamic modes.

Complex conjugation is used
to align the system input-output line

[ Which is a hot to cold line
that is orthogonal to the static-dynamic line.]

of a with the input system/environment and output system/environment
angular displacement levels.

--
Tom Potter

http://warp-to.us/
http://tom-potters-world.tk/

Date Subject Author
9/6/13 Tom Potter
9/7/13 Brian Q. Hutchings