TITLE Fifth power LAW reveals Particle Mass ranges. all Parts
Hello everyone, 10April2008 ; Final 3rd
I have followed the recent threads of K&K based themes.
I am an amateur too and have often wondered why the
Klauza-Klein 5D insight does not yield more depth and advocates.
===================Part 1 Basics
Ever ask yourself "What is MASS and where is it?"
Well this theory asserts MASS is in a tiny volume
that has its own laws.
I claim to have made a significant discovery that
relates mass and a fifth power law.
I have loosely titled the theory :
"subSPACE ; The fifth dimensional domain
of 3D volume where the MASS of a Particle exists".
--------------------------------------
subSPACE theory assumptions:
1. 2.6 Bev is the upper limit for the range of particle mass.
2. Normal spatial concepts of our macro scale do not apply to
this "subSPACE" scale where mass resides; it's too distant.
3. The Fifth power LAW of subSPACE is mathematically related
to all measured elementary particle MASSes as volumes.
Since mass is already considered "compacted",
ANY valid mass relation/equation of a fifth power nature that
encompasses most forms and range of mass
would be a self evident proof and Klauza-Klein compatible.
--------------------
Predictions; If this "subSPACE" thesis/model is correct, then
1 Its would be like a gamma ray burst , a sign literally proclaiming that
"mass/energy is a Five-Dimensional fact"!
2 Particle Mass mapped by subSPACE should be self-evident [QED]
3 IF "Elementary Particle mass values" are predicted via
this simple fifth power function; it would be indisputable.
4 It's Physics and Mathematics in a new "one to one" identity.
ie. This "FIFTH power LAW" is the origin of Particle Mass VOLUMEs".
The 5th dimension exists; eg. the near nuclear scales as universals.
5 A new mass/energy zone is predicted; It might offer insight into Dark matters!
---------------------------------------------
Here are the first three 5D examples for the electron, proton and upper 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.
Max = (5.5)^5 at 5033 e masses or 2.6Bev
=======================
========== Part 2 Particle/Energy fifth power range mapped
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.
(5)^5 maps to the Omega at 4.8%
So 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 1.6 Bev; at a 4.6% fit
Max = (5.5)^5 or 5033 e masses at 2.6Bev
-----------------------------
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
Further investigation seemed warranted!
---------------------------------------------
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
Finally, consider the enigmatic (1/2)^5 value
at e/32 masses or 16 Kev.
It is an excellent fit to the Energy of anti-Neutrino
measured in Tritium beta decay (0.1%)
-------------Particle Mass's entire range mapped!
Here is current table of seven using ( n/2 )^5:
n 1 2 3 8 9 10 11
ID eN e CMF K' P Om Max
% err 0.1 0 7 -0.4 -0.5 4.8 1
What do you think so far, given these seven points?
Especially given the (1/2)^5 to (11/2)^5 span;
as the complete range of mass/energy,
from a min of 16 Kev to max of 2.6 Bev.
----------------------------------------
This next Part will map the Muon and Pion at -2% & .7% fits;
and present the full "1 to 11" mass range table, QED.
and postulate Energy's five states.
It also hypothesizes a Dark Matter candidate.
=========Part 3 Mapping the Muon and Pion masses.
The three remaining 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
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,
then the Muon is 6 minus a UNIT at 211
and the Pion is 6 plus a UNIT at 275 in e masses.
Think of mass having an upper and a lower region
with NOTHING in between
-------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
------------------------------------------------------------------------
---------------lets recap
TABLE: Fifth power LAW of MASS as ( n/2 )^5; n=1 to 11.
-----The upper five region from ( n/2 )^5
n Mass e mass error%
------------------------------------------------------------------------------------------
11 MAX 5033 1 2.6 Bev
10 Om 3124 4.6 1.6 Bev
9 P 1845.3 -0.5 943 Mev
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
upper
------ 6' Empty mid zone at n=(6*2)/2
---------------------------------------------------------
lower
5' Muon 211 -2.1 (243-32 ) as 5'=6' minus UNIT/CMF
4 CMF 32 Common Mass Factor at ~16Mev to 18Mev ; a UNIT of volume.
3 ? 7.6 3.88Mev ; an unknown zone ? Suggestions welcomed.
2 --e 1 NEGATIVE electron; table reference mass; 0.511 Mev !
1 eN 1/32 0,1% Neutrino in Tritium Beta decay at 16 Kev; table MIN
----- the lower five region from ( n/2 )^5
-----------------------------------
Based on the 5th power law insights above, Energy seems to have Five states !
1st as a Free gas-like state; Photons as E&M based and c limited.
2nd as Neutrinos
3rd as short lived liquid state for local particle packing/assembly
4th as a crystalline state; the CMF. 16 to 18 Mev volume zone around (4/2)^5 ).
5th as the Ultra dense solid state of Particle Mass; eg. the Proton & Electron !
Hypothesis for the zone at ( 3/2 )^5
(3/2)^5 at 7.6 e masses at 3.88Mev reveals a new mass zone;
Maybe a candidate for DARK Matter ?
--------------------------------------------------------
Conclusions:
1 It's a flashing gamma ray burst ,
a sign literally proclaiming "mass/energy is a 5D fact"!
2 Since "Elementary Particle mass values" are predicted via (n/2)^5
it can not be disputed, given this definitive 5D power law!
3 It's Physics and Mathematics in a one to one identity.
subSPACE is real and the proven domain of Particle Mass!
4 This Fifth power law maps the entire range of Elementary Particle Masses!
--
--------------------------------
Well, that's it; a mathematical 5th power function
that maps all basic Elementary particle masses.
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.
I think if anything is found around 3.88 Mev
it would be an additional validation.
The Fifth Dimension is conclusively revealed.
send email to "rdo.meara@pobox.com"
--
Yours truly RD [spring 2008 of ........