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

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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
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--------- 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 is conclusively revealed.

The n/2 to the Fifth power law maps the entire range of Elementary Particle Masses,
and its nodes each contain a significant particle identity; QED.
It's Physics and Mathematics in a one to one identity.
subSPACE is real and the observed domain of Particle Mass!

-------- 3rd assumption satisfied


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Well, that's it; comments are welcome
as well as any ideas about the 3.88 Mev zone ,
as it's the only unknown index in the 1 to 11 range.

If anything is found around 3.88 Mev or its multiples.
it would be an additional validation for this theory.

-----This Just In ------ April 2008
An interested reader says that he has found something
at 3.88 Mev using a Cerenkov related energy pattern;
and will follow up, if it leads to anything.

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

-------------I have a Physics Degree from Univ of IL ; Urbana , 1965

-
Yours truly RD ....... Spring 2008 OP IL 60302 nuz post 5/12

send email to "
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--
Yours truly RD