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Old May 18th 08 posted to sci.physics.particle,sci.math,sci.physics
mitch.nicolas.raemsch@gmail.com
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Default The Mathematics of Mass - final revison

On May 15, 8:02*am, wrote:
TITLE *A 5th power mathematical distribution Discovery that maps Particle Mass !

{ABSTRACT: The DATA *Range of a Fifth Dimensional power law.

* * * * The simple equation ( n/2 )^5 . n= 1 to 11" *and doubled at ~22
* * * * has *values that map in a simple mathematical fashion
* * * * to the entire range of Particle Masses; QED,

* * * * n * * * Name * *e mass *error% *Energy

---------------------------------------------------------------------------*---------------

* * * * -----The exotic region of ( n/2 )^5 *as the upper limit of Particle mass.

* * * * 22.5 * *Z * * * 180203 *-1.1 * *92.08 Bev ; table maximum
* * * * 22 * * *W * * * 161051 *-2.3 * *82.33 Bev ; Observational data is 80.4 & 91.18 Bev

---------------------------------------------------------------------------*---------------

* * * * The Nucleon scale *and below

* * * * -----The upper five region 11 to 7' via ( n/2 )^5
* * * * 11 * * *MAX * * 5033 * *1 * * * 2600 Mev ; Nucleon scale observational limit
* * * * 10 * * *Om * * *3124 * *4.6 * * 1597 Mev as Tau and Omega range
* * * * 9 * * * Proton *1845.3 *-0.5 * *943 Mev *Proton
* * * * 8 * * * K' * * *1024 * *-0.4 * *523 Mev *---- K' as Half of Kaon and Eta sum.
* * * * 7' * * *Pion * * 275 * *-0.7 * *(243+32 ) as 7'=6 plus UNIT /CMF

upper half
* ------ * * * *6 * * * * * * * 243 * * Empty mid zone at n=(6*2)/2
-----------------------------------------

* * * * ----- the lower five region 5' to 1 from ( n/2 )^5

lower half
* * * * 5' * * *Muon * *211 * * -2.1 * *(243-32 ) as 5'=6 minus UNIT/CMF
* * * * 4 * * * CMF * * 32 * * *7 * * * Common Mass Factor at ~16Mev to 18Mev
* * * * 3 * * * ? * * * 7.6 * * ? * * * 3.88Mev ; an unknown zone; perhaps Dark matters?
* * * * 2 * * * e * * * 1 * * * 0 * * * NEGATIVE electron; reference mass; 0.511 Mev !
* * * * 1 * * * eN * * *1/32 * *0.1 * * Smallest Neutrino in Tritium Beta decay at 16 Kev; * a MIN

* *ICONs are Proton at 9/2 and W at 22/2
---------------------------------------------------------------------------*----------

--------- Consider a volume of one cubic centimeter; cc = cm^3

Imagine trying to compare Mercury's orbital volume *at 32 million miles across or *
17 thousand million cubic miles or 8e23 cubic KM to a cc.

Compare it *with whatever precision you can imagine.

It's equivalent to the nuclear scale volume within that same cc.

Using the scale value of 1e-13 cm as a reference;
it is the same ratio as Mercury's orbital volume is to a cm^3.

A cc/cm^3 was midway between the orbital volume of Mercury
and the volume of the nuclear scale.

================= The subSPACE Theory

This theory asserts MASS exists in a near-nuclear scaled region
defined by a fifth dimensional power law,

Normal spatial concepts of our macro scale do not apply to
this "subSPACE" scale where mass resides; it's too distant.

The theory is titled: *"subSPACE ; A dense volume *where the MASS of a Particle
resides/exists".

--------------------------------------

subSPACE theory assumptions:

* * * 1. *The Z & W particles are the upper limits for particle masses .

* * * 2. *2600 Mev is the upper limit for the range of nucleon scale particle mass.

* * * *3. *Since particle mass is already considered "compacted",
* * * * * * any valid relation/equation that encompasses most forms and the entire range
* * * * * * of mass would be a self evident proof and Klauza-Klein compatible; QED.

--------------------

Predictions; * If *this "subSPACE" theory/model is correct, then

* * Particle Mass mapped by this 5D function should be self-evident *[QED]

* * A new way to measure/see Dark Matter is possible, based on a revealed resonance at
3.88 Mev.

---------------------------------------------

Here are the first three 5D examples for the electron, *proton *and upper nucleon limit.

* * * * e = (1)^5 *was one standard e mass at 0.511 Mev

* * * * Proton *= (4.5)^5 *at 1845.3 e masses or 943 Mev; a *-0.5% fit.

* * * * Nucleon Max = (5.5)^5 at 5033 e masses or *2600 Mev.
--------This was the actual observed upper limit of the nucleon Particle scale.
-------- 2nd assumption satisfied as nucleon maximum

Two more 5th power points emerge upon simple inspection
of Kaon and Omega ranges.

* * * * (4)^5 *maps to the Kaon at 6%

* * * * * If (K + ETA)/2 mass is used , then its a 0.4% match.
* * * * * * * * noted in this text as *K' *for the pairing half value at 523 Mev.

* * * * (5)^5 *maps to the Omega at 4.8%; the only plus % error.

Now there are five fits to a simple 5th power curve!

* * * * e = (1)^5 *was one standard e mass at 0.511 Mev

* * * * K' *as (Kaon+eta)/2 was 1024 e masses or *523 Mev at a -0.4% fit.
* * * * Proton *= (4.5)^5 *at 1845.3 e masses or 943 Mev; a *-0.5% fit.
* * * * Omega at 5^5 was 3124 e masses or ~1600 Mev; at a 4.6% fit

* * * * Nucleon Max = (5.5)^5 or 5033 e masses at *2600 Mev, at a 1 % fit.

-----------------------------

Next, the form of the function is changed to
make a table of (n/2)^5 values from 1 to 11.

The five points are now:

(2/2)^5 * * *(8/2)^5 * * *(9/2)^5 * * * *(10/2)^5 * * *(11/2)^5
*e--------------K'------------P--------------Om----------Max
*0 * * * * * * * -0.4 * * * * * * -0.5 * * * * * * * * 4.8 * * * * * * * * 1 * *% match

---------------------------------------------

After re-studying all the Elementary Particle masses, It was noted that
(4/2)^5 at 16.4 Mev is 7% near the particle Common Mass Factor-
CMF of 17.5 Mev; suggesting an internal mass grouping; a UNIT mass

* * * * eg. Muon is ~6 UNITs , Pion is ~8 UNITs and Proton is ~54 UNITs

Now there are six points, with five remaining unknowns.

(2/2)^5 * *(4/2)^5 * * *(8/2)^5 * * (9/2)^5 * *(10/2)^5 * *(11/2)^5
*e------ * * CMF * * * *----K'-----------P----------Om---------Max
*0 * * * * * * * *7 * * * * * * * -0.4 * * * * * -0.5 * * * * * *4.8 * * * * * * 1 * *%

-----------------------

*For further study, the remaining five 'n' values were separated
*into a 6/2, 7/2 & 5/2) group *and 3/2 & 1/2 into another.

-------------------------- Neutrino Match found at ( 1/2 )^5

Consider the enigmatic (1/2)^5 value at e/32 masses or 16 Kev.

It is an excellent fit to the observed minimum Energy
of the anti-Neutrino(eN) *measured in Tritium beta decay (0.1%) *

-------------Nucleon scale of Particle Mass's entire range mapped!

Here is current table of seven from ( n/2 )^5:

* * *n * * * * *1 * * * *2 * * * 4 * * * * * 8 * * * * 9 * * * 10 * * * *11 * *
* * ID * * * *eN * * *e * *CMF * * * K' * * * *P * * *Om * * Max *
% err * * *0.1 * * *0 * * * *7 * * * *-0.4 * *-0.5 * * 4.8 * * * *1

The (1/2)^5 to (11/2)^5 span maps the range of Nucleon
mass/energy, from a min of 16 Kev to max of 2600 Mev.

========== * Entire particle MASS/Energy range mapped

The exotic region of ( n/2 )^5 *maps the W & Z as the upper limit of Particle mass.

n=22.5 as the Z at 180203 emasses with a -1.1% err *at 92.08 Bev ; Observational data is
91.18 Bev
n=22 as the *W at 161051 emasses with a -2.3% err at 82.3 Bev ; Observational data is
80.4 Bev
-------- 1st assumption satisfied

Here is current table of nine from ( n/2 )^5:
* * *n * * * * *1 * * * *2 * * * 4 * * * * *8 * * * * *9 * * * 10 * * * *11 * * * * 22
22.5
* * ID * * * *eN * * *e * *CMF * * * *K' * * * *P * * *Om * * *Max * * * W * * * Z
% err * * *0.1 * * *0 * * * *7 * * * *-0.4 * *-0.5 * * 4.8 * * * *1 * * * * *-2.3
-1.1

The (1/2)^5 to (22.5/2)^5 span maps the complete range
of Particle mass/energy, from a min of 16 Kev to max of 92 Bev.

---------------------------------------

========= * *Mapping the Muon and Pion.

The three index values of 5,6 & 7
were the most difficult to match; as their 5th power values
bracketed the muon and pion masses but were not close.

If the (n/2)^5 function is thought of in a zero to twelve range,
then six becomes the boundary between the upper and lower halves.
a *symmetric parity; n/2=6*2 or (6/2)^5 at 243 e masses

Think of Nucleon mass having an upper and a lower region
with NOTHING in between.

Recall that the muon and pion are 6 & 8 CMF's and that the
CMF is 32 e masses from (4/2)^5 .

When the CMF is considered a UNIT,
the Muon is ( 6/2 )^5 minus a UNIT at 211,
and the Pion is ( 6/2 )^5 *plus a UNIT at 275 ,
both in e masses.

-------the 5,6,& 7 as table mid range

5' * * *Muon is 211 electron masses; (Mu = 243 -32); -2.1%

6 * * * Table empty mid zone at (6/2)^5 at 243 e masses or *~7 CMFs.

7' * * *Pion is 275 electron masses (Pi = 243 + 32); -0.7%

* * * * *An ad-hoc rule for the "6" slot was devised to split it
* * * * *into derived (5'=6-1) and (7'=6+1) slots that
* * * * *replace the values *(5/2)^5 & *(7/2)^5 ,
* * * * *using the CMF as a UNIT of 32 e masses

------------------------------------------------------------------------

---------------Putting all ten together in a Table from: ( n/2 )^5

TABLE: *Fifth power LAW of MASS as ( n/2 )^5; n=1 to 11. *"subSPACE"
* * * * and the n=~22 range maps the Z & W particles as the upper limit of mass.

* * * * n * * * Name * *e mass *error% *Energy

---------------------------------------------------------------------------*---------------

* * * * -----The exotic region of ( n/2 )^5 *as the upper limit of Particle mass.
* * * * 22.5 * *Z * * * 180203 *-1.1 * *92.08 Bev ; table maximum

* * * * 22 * * *W * * * 161051 *-2.3 * *82.3 Bev ; Observational data is 80.4 & 91.18 Bev

* * * * -----The upper five region 11 to 7' from ( n/2 )^5
* * * * 11 * * *MAX * * 5033 * *1 * * * 2600 Mev ; Nucleon scale observational limit

* * * * 10 * * *Om * * *3124 * *4.6 * * 1597 Mev as Tau and Omega range

* * * * 9 * * * Proton *1845.3 *-0.5 * *943 Mev *Proton *THE Fundamental MASS atom

* * * * 8 * * * K' * * *1024 * *-0.4 * *523 Mev *---- HALF of Kaon plus an *Eta particle!

* * * * 7' * * *Pion * * 275 * *-0.7 * *(243+32 ) as 7'=6 plus UNIT /CMF

* ------ * * * *6 * * * * * * * 243 * * Empty mid zone at n=(6*2)/2
-----------------------------------------

* * * * ----- the lower five region 5' to 1 from ( n/2 )^5
* * * * 5' * * *Muon * *211 * * -2.1 * *(243-32 ) as 5'=6 minus UNIT/CMF

* * * * 4 * * * CMF * * 32 * * *7 * * * Common Mass Factor at ~16Mev to 18Mev

* * * * 3 * * * ? * * * 7.6 * * ? * * * 3.88Mev ; an unknown zone; an insight *into Dark matters?

* * * * 2 * * * e * * * 1 * * * 0 * * * NEGATIVE electron; reference mass; 0.511 Mev !

* * * * 1 * * * eN * * *1/32 * *0.1 * * Smallest Neutrino in Tritium Beta decay at 16 Kev; a MIN.

--------------------------------------------------------------------

--------------------------- *Hypothesis for the zone at ( 3/2 )^5

* * A new 3.88 Mev mass/energy zone is predicted; It might offer insight into Dark
matters!

--------------------------------------------------------

================== * The Fifth Dimensional nature of MASS
...

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Mass is concentrated Gamma energy. E=Gamma MC^2
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