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: Single photon
Replies: 22   Last Post: Mar 4, 2013 8:25 PM

 Messages: [ Previous | Next ]
 Tom Potter Posts: 497 Registered: 8/9/06
Re: Single photon
Posted: Feb 26, 2013 10:40 PM

"Sam Wormley" <swormley1@gmail.com> wrote in message
news:vvSdnTJKtKfNebbMnZ2dnUVZ_u8AAAAA@giganews.com...
> On 2/25/13 1:29 PM, DonH wrote:
>> An electron can emit, or absorb, a single photon, losing, or gaining,
>> energy
>> in the process.

>
> Use this equation:
> E^2 = (mc^2)^2 + (pc)^2

The equation that Sammy references has several flaws.

1. It implies that a photon is energy squared.

2. It features the mechanical properties mass and momentum,
and ignores the electro-magnetic properties
that relate more fundamentally with quanta charge systems.

3. It ignores the fact that energy is not quanta,
but is a function of quanta and velocity.

4. If integers and maths are valid
and can be used to model physical reality,
and we assume that 5^2 = 4^3 + 3^2
the equation that Sammy references implies
that mass, momentum and energy
have a 3-4-5 relationship,
and that energy is represented by the hypotenuse
of a right angle.

Detailed examination of electro-magnetic quanta
suggests that there is not a 3-4-5 quanta relationship
between real power, apparent power and measured power,
and consequently between E^2, (mc^2)^2 and (pc)^2
( If time is homogeneous in the system being observed.)

and it indicates that energy is not located in a hypotenuse,
but is the angular displacement lost to external systems,
and eventually to the larger universe. (Entropy)

5. It ignores the fact that complex conjugation
is needed to interface a system that fits Sammmy's equation
with outside systems that fit the equation.

6. Sammy's equation does not consider that photons are polarized..

The fact of the matter is that photon are polarized ACTION events,

and can be
one fourth,
one half,
or one wave length,

of ACTION transferred from a source to a sink system.

The square root of minus one "i"
is the best way to model an action event,
as it conveys both angular displacement
and direction of rotation.

As many units of "i" can be added to some resonant systems,
those resonant system are boson storage systems.

i^1 = 1/4 cycle
i^2 = 1/2 cycle
i^3 = 3/4 cycle
i^4 = 1 cycle

i^n = number of bosons transferred.
i^n / 4 = number of cycles transferred.

A lossy resonant system loses n units of ACTION per cycle,
and if m = the number of cycles stored in a system,
m / n = the Q of the system.

I suggest that if Sammy does Bing searches on
quarter wave stub
quanta of action
wave guides
"Q"
decay of an oscillating system
complex conjugation
entropy
Planck's Constant
thermodynamics
etc.

that he will see that E^2 = (mc^2)^2 + (pc)^2
applies to a limited subset of infinite Q mechanical systems.

The bottom line is that quanta is best modeled using "i^n"
which is integer ("n"), is a natural angular displacement unit,
and has a definite polarity, and that models that use
higher order properties such as mass and momentum
need constants and assumptions to model reality.

--
Tom Potter

http://the-cloud-machine.tk
http://tiny.im/390k