Einstein MatriX
Science Today
The Theoretical Interpretation of Spacetime/motion


Fundamental Physical Constants Notes:

Fractal Multiples and Einstein's Equation

Charles William Johnson

©December 2010 Copyrighted.

Earth/matriX: Science Today

=======

 

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The physics paradigm today is based mainly upon the concept of c-square, the squaring of the speed of light in a vacuum. Numerous fundamental physical and chemical constants provided in the physics literature [CODATA] reflect numerical values based upon powers of c, the speed of light in vacuo. The speed of light in a vacuum is determined to represent the upper limit of movement of mass|energy by physicists.
 
The upper speed limit for a light photon is 299792458 meters/second. The square of that number produces a numerical value that does not exist in any form of matter-energy. The c-square actually represents a number that corresponds to a near massless event: a light photon. The author goes beyond a critique of Albert Einstein’s famous formula based upon this unreal number. The rejection of Einstein’s formula is explored through basic math, the summation of powers in the equation’s terms.
 
A common procedure followed in deriving many of the CODATA recommendations is to divide certain fundamental physical constants by the value of the elementary charge, e, 1.602176487. With regard to the Planck constants and units of measurement, the case is argued that Max Planck may have simply reversed engineered this procedure in order to derive his natural units.


 Excerpt

          Relations among the CODATA fundamental physical constants derive fractal multiples of their recommended numerical values. In this essay, examples of the relational fractal multiples of different fundamental physical constants are presented. At times, these relationships appear to be simply that, relationships among different spacetime/motion events and their specific forms of matter|energy. At other times, the fractal multiples suggest a certain redundancy among the numerical values of the fundamental physical constants; redundancies that are not recognized as such in the CODATA listing.

...

Another theoretical problem relates to the complicated, redundant symbolic formulae used to express the particular fundamental physical constants in the CODATA listing. 

...

It is recommended that in reading this essay, you have a copy of all the values published by the CODATA international committee of the fundamental physical constants. A complete list is available on the web-site www.nist.gov.  In many of the following examples, I shall be using the fractal numerical values and not the scientific notation employed by the CODATA and scientists of today. The reason for this is to understand the interconnected nature of many of the fractal multiples between one given fractal multiple and another, without concern for where the decimal placement lies for any given number.

 

          {1}    Planck mass is given as 2.17644 fractal. Within Einstein's famous formula, E = mc2 , this means that Planck energy would be 1.9561.

 

          E  =  2.17644  times 8.987551787

 

          E  =  1.9561+

 

          {2}    Planck energy, 1.9561 fractal, is not cited in the CODATA list of fundamental physical constants. Why is it not offered? I have no idea. But, the Planck energy value, 1.9561 represents a numerical value shared many different pairs of fundamental physical constants. [See the following table for various repetitions of the 1.9561+ value in relation to different pairs of fundamental physical constants.]

...

          {6}    Einstein's famous formula supposedly finds its uniqueness in the discovery of c-square as a mediating factor between energy and mass. However, from the computations presented in this study, the 1.9561 numerical value for Planck energy appears to be more significant in terms of frequency found in relation to other fundamental physical constants. The speed of light in vacuo to the ninth power, c9 , is 1.956078711 fractal.

...

          As far as I can tell, it has never been pointed out that the CODATA value for Planck mass, 2.17644, corresponds almost exactly to the seventh power of the speed of light in a vacuum.  Much less does one observe in the science literature that the fractal value often cited as Planck energy corresponds almost exactly to the ninth power of the speed of light in a vacuum. An infinite array of these and countertheses flow from these two facts.

 

          For example, the symbolic formula provided in the literature for Planck energy [1.9561] is:

 

Square root of ħc5 / G

 

The square root of h-bar times c to the fifth power divided by the gravitational constant. Wow. Again, the obvious question arises: why has a complicated symbolic formula [ Sq rt of ħc5 / G ] for a matter-energy event been devised when that value may be expressed theoretically as c9 ?

 

          There is no extraordinary quality of energy or mass regarding the corresponding values 1.9560+ or 2.1764+ as the CODATA committee and other scientists might believe. Quite the opposite, the cited values are merely powers of c, and therefore represent non-existing values in terms of matter-energy.  

 

          The annual publication of the numerical value of the Planck constant for mass, 2.17644, by the CODATA committee, as though this value were being periodically refined through physical measurements, appears to be a sophistication of an already existing value. The known precision lies in the seventh power of the speed of light in a vacuum, 2.176431087; and, in the ninth power of c for the 1.956078711 figure.

...

          {17}  There are various ways to derive Planck mass; here are three of them:

 

1) With the complex formulae of the CODATA:

 

mp  =  √ħ c/G  =  2.17644

 

2) By divided Planck Implied Mass by the elementary charge:

 

3.487040993  /  1.602176487  =  2.17644

 

3) By employing the seventh power of the speed of light in vacuo:

 

c7  =  2.176431087

...

{28}  One contemplates the end of some of the CODATA symbolic formulae of certain fundamental physical constants.

 

          Planck mass, 2.17644  =  √ћ c / G   

 

Why have such a complex symbolic formula when the numerical value for Planck mass is apparently derived as of c7 = 2.167431087?

......

          {37}  By examining the fractal multiples of many of the fundamental physical constants, one sees that they are not unique, dimensionless, irreducible numerical values. Rather, many of them are simply fractal multiples of one another, dependent variables, a feature that produces redundancy among the physical constants.

...

          {44}  Alpha particle mass  =  6.6446562

 

6.6446562  times  8.987551787  =  5.97191917 fractal

 

Alpha particle mass energy equivalent = 5.97191917 fractal

 

5.97191917  times c2   =  5.367293281 doubles to 5.49610832 fractal

 

Triton electron mass ratio = 5.4969215169 fractal

                    ...      

          {49}  The electron mass divided by c-square yields a numerical value that is a fractal multiple of nearly Planck mass, 2.17644.

 

9.10938215  /  8.987551787  =  1.013555456  doubles to 2.176593768

9.10938215  x  8.987551787  =  81.87104303  doubles to 2.176505649

 

8.187104303 natural unit of energy

 

9.10938215 times 8.987551787  = 2.730924066 natural unit of momentum

 

So, reverse engineer these values as of c to the ninth power:

 

2.176431087  halves to 1.13479702  times 8.987551787  =  9.108701304 fractal suggestive of the electron mass value

...

 

          {55}  An alternate presentation of Einstein's formula comes in the manner of:

 

          E2  =  m2 c4

 

The explanation is given that this particular rendition considers c4 to represent zero motion.

 

A pre-condition is set to this statement:

 

          E2  =  m2 c4                    however, [ c4  =  0 ]

 

          Well, certainly, as written thus in algebraic form, if c4 is zero, then obviously there is an inherent equivalency between E2  =  m2 .

 

          E2  =  m2 c4

E2  =  m2 times 0

 

          E2  =  m2

          ...

          Remember how I have shown concern for employing c-square, which in my view is an imaginary number without any material basis in spacetime/motion.  Now, just imagine the shock at seeing how manipulations of Einstein's famous formula may be employed to derive unimaginable numbers such as c14  and c18. For, as I have shown, the terms of E and m, although inoffensive looking in Einstein's formula, actually represent higher powers of c, much higher than c-square.

...

 

Observations

 

          The old saying goes, "Don't look a gift horse in the mouth", or something or other. The idea being that when one receives a gift, do not question its quality or intent or nature, or whatever.  However, knowledge that has been handed down to us over the decades and centuries must be re-examined. Someone may have erred somewhere along the way, and that needs to be clarified.      ...

          ©December, 2010-2013 Copyrighted by Charles William Johnson. All rights reserved. Reproduction prohibited by any means.

Earth/matriX Science Today

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johnson@earthmatrix.com

THE PHYSICS CHALLENGE
 
EINSTEIN'S FORMULA: MASS CONFUSION
 
CODATA, PLANCK CONSTANTS, ERRORS AND OMISSIONS
Our Price $17.95
Paperback In Stock
 
Our Price $19.95
Paperback In Stock
 
Our Price $18.95
Paperback In Stock
The physics paradigm today is based mainly upon the concept of c-square, the squaring of the speed of light in a vacuum. Numerous fundamental physical and chemical constants provided in the physics literature [CODATA] reflect numerical values based upon powers of c, the speed of light in vacuo. The speed of light in a vacuum is determined to represent the upper limit of movement of mass|energy by physicists.
 
The upper speed limit for a light photon is 299792458 meters/second. The square of that number produces a numerical value that does not exist in any form of matter-energy. The c-square actually represents a number that corresponds to a near massless event: a light photon. The author goes beyond a critique of Albert Einstein’s famous formula based upon this unreal number. The rejection of Einstein’s formula is explored through basic math, the summation of powers in the equation’s terms.
 
A common procedure followed in deriving many of the CODATA recommendations is to divide certain fundamental physical constants by the value of the elementary charge, e, 1.602176487. With regard to the Planck constants and units of measurement, the case is argued that Max Planck may have simply reversed engineered this procedure in order to derive his natural units.