### Tuesday, December 09, 2003

## GUTz - Essay 000' - BASIC CONCEPTS (II)a - Impact of rationalization and arbitrary vacuum values for mu and epsilon

"We all know, that the actual physic theories have some big problems,

and

some times..., the problems begging in foundations."

---

If we compute the natural values for mu and epsilon from real

universal constants (Plank constant (h), Elementary charge (e) and

Light speed (c) we get Plank mu (muP) and Plank epsilon (epsilonP).

So we have (using the International System of Unities and the

international recommended values for h, e and c):

muP = h / (e^2 c) = 8,610 225 807 * 10^-5 H/m

epsilonP = (e^2) / (h c) = 1,292 242 697 * 10^-13 F/m

Now we have the value of two new real universal constants muP and

epsilonP…

But, with different value in vacuum for mu Dimension we have a

dramatic change in actual physic theories.

----

We can, for example, analyze the real nature of Fine structure

constant (ALFA) ("the famous and mysterious 1/137,…"):

The Fine Structure Constant as a usually value 1/137,... and every body

want to know where that “popular” number comes from.

We have that mu0/(2 muP) = epsilonP/(2 epsilon0) = ALFA = 1/(137,035

999 834) !!!

…and computing the new ALFA (ALFAP) we have:

ALFAP = (muP e^2 c)/(2 h) = (e^2)/(2 epsilonP h c) = 0,5 !!!

Anybody seems to ask, about the why of the actual value for mu in

vacuum - mu0, and not any other value.

The next question is, if is not the usually value mu0, what the new

value for mu Dimension in vacuum?

To this last question we all have a natural answer, the muP = h/(e^2

c) (H/m) (only depending of true universal constants e, h and c).

GUTz say that the number 1/137,.. as that value because the humans

decided to stipulate arbitrary the value in vacuum for mu

(Permeability Dimension), mu0 equal 4PI * 10^-7 (H/m).

So the strange number 1/137,... is the result of the artificial value

for mu in vacuum, mu0, because if we use the natural value muP for mu

in vacuum we get ALFA = 0,5.

------

Computing RP – Resistance Plank constant, we have:

RP = (muP/epsilonP)^1/2 = 25812.80759 (ohm)

but also we have:

2 ALFA RP = muo c

2 ALFAP RP = muP c (but ALFAP = 0.5), so

RP epsilonP c = 1

RP e^2 = h

RP IP^2 = PP (IP – Current Plank; PP – Power Plank)

RP G IP^2 = c^5 (G – Gravity (Plank) constant)

and others…

is important now to note that:

Resistance Plank constant (RP) = Quantum Hall Resistance = von Blitzing constant (RK)

The actual value for Impedance of vacuum is Z0 (Characteristic impedance of vacuum) = (mu0/epsilon0)^1/2 = 376.7303133461 (ohm)is not a value that “Nature support”, is an arbitrary one… (mu0 depending)

Then, Z0 is the result of the artificial value for mu in vacuum, mu0, because

-----------

Thanks in advance, by your comments

Viana Abreu

and

some times..., the problems begging in foundations."

---

**First section.**If we compute the natural values for mu and epsilon from real

universal constants (Plank constant (h), Elementary charge (e) and

Light speed (c) we get Plank mu (muP) and Plank epsilon (epsilonP).

So we have (using the International System of Unities and the

international recommended values for h, e and c):

muP = h / (e^2 c) = 8,610 225 807 * 10^-5 H/m

epsilonP = (e^2) / (h c) = 1,292 242 697 * 10^-13 F/m

Now we have the value of two new real universal constants muP and

epsilonP…

But, with different value in vacuum for mu Dimension we have a

dramatic change in actual physic theories.

----

**Second Section**.**Now, one simple example about the impact of stipulation a value (like**

mu0)without "Nature support"...:mu0)without "Nature support"...:

We can, for example, analyze the real nature of Fine structure

constant (ALFA) ("the famous and mysterious 1/137,…"):

The Fine Structure Constant as a usually value 1/137,... and every body

want to know where that “popular” number comes from.

We have that mu0/(2 muP) = epsilonP/(2 epsilon0) = ALFA = 1/(137,035

999 834) !!!

…and computing the new ALFA (ALFAP) we have:

ALFAP = (muP e^2 c)/(2 h) = (e^2)/(2 epsilonP h c) = 0,5 !!!

Anybody seems to ask, about the why of the actual value for mu in

vacuum - mu0, and not any other value.

The next question is, if is not the usually value mu0, what the new

value for mu Dimension in vacuum?

To this last question we all have a natural answer, the muP = h/(e^2

c) (H/m) (only depending of true universal constants e, h and c).

GUTz say that the number 1/137,.. as that value because the humans

decided to stipulate arbitrary the value in vacuum for mu

(Permeability Dimension), mu0 equal 4PI * 10^-7 (H/m).

So the strange number 1/137,... is the result of the artificial value

for mu in vacuum, mu0, because if we use the natural value muP for mu

in vacuum we get ALFA = 0,5.

------

**Third section****Example about the impact of stipulation a natural values like**

muP and epsilonP that have "Nature support"...:muP and epsilonP that have "Nature support"...:

Computing RP – Resistance Plank constant, we have:

RP = (muP/epsilonP)^1/2 = 25812.80759 (ohm)

but also we have:

2 ALFA RP = muo c

2 ALFAP RP = muP c (but ALFAP = 0.5), so

**RP = muP c**RP epsilonP c = 1

RP e^2 = h

RP IP^2 = PP (IP – Current Plank; PP – Power Plank)

RP G IP^2 = c^5 (G – Gravity (Plank) constant)

and others…

is important now to note that:

Resistance Plank constant (RP) = Quantum Hall Resistance = von Blitzing constant (RK)

**Why not also, RP the natural Zp (Impedance of vacuum)?**The actual value for Impedance of vacuum is Z0 (Characteristic impedance of vacuum) = (mu0/epsilon0)^1/2 = 376.7303133461 (ohm)is not a value that “Nature support”, is an arbitrary one… (mu0 depending)

Then, Z0 is the result of the artificial value for mu in vacuum, mu0, because

**if we use the natural value muP for mu in vacuum we get Z0 = (muP/epsilonP)^1/2 = RP = RK = Quantum Hall Resistance.**-----------

Thanks in advance, by your comments

Viana Abreu