🚀 go-pugleaf

UNIFICATION OF MICROPHYSICS AND MACROPHYSICS.
MASSES AND RADII OF THE PROTON, THE ELECTRON AND THE UNIVERSE.

By Louis Nielsen
http://www.rostra.dk/louis

THE ELECTRON IS COMPOSED OF MORE FUNDAMENTAL PARTICLES
In the following considerations I postulate that the real electron is
a quantum-dynamical system composed of a huge number of very tiny
energy-/matter quanta and that it has a physical average extension.
In the following I calculate that the average ‘radius’ of a real
electron is about 10^(-18) meter.

CONNECTIONS BETWEEN THE ELECTRON, THE PROTON AND THE UNIVERSE
- Are there connections between the electron, the proton and the
Universe?
- My answer is: Yes.
I postulate that there exists a connection between the average mass-
density of the electron and the   average mass-density of the
Universe. A similar connection exists between the average mass-
density of the proton and the average mass-density of the Universe.
The mathematical connections are given by the equations:

(1)   (m(p)/r(p)^3) = N(p)*(M/R^3)

(2)   (m(e)/r(e)^3) = N(e)*(M/R^3)

In equation (1) m(p) = 1.67*10^(-27) kg is the rest mass of the proton
and r(p) is the average radius of the proton.
In equation (2) m(e) = 9.11*10^(-31) kg is the rest mass of the
electron and r(e) is the average radius of the electron.
The quantity M is the total mass of the Universe and R is the actual
average radius of the Universe.
The quantity N(e) is equal to the ratio between the electrostatic and
gravitostatic forces between two electrons and N(p) is equal to the
ratio between the electrostatic and gravitostatic forces between two
protons.
The quantities N(e) and N(p) are defined by:

(3)   N(p) = (k*e^2/G*m(p)^2) = 1.24*10^36


(4)   N(e) = ((k*e^2)/(G*m(e)^2) = 4.16*10^42

In the equations (3) and (4) k is Coulomb's constant and e is the
electric charge of the electron. The quantity G is the value of
Newton's gravitational constant.

MASS-/RADIUS SYMMETRY BETWEEN THE PROTON AND THE ELECTRON
From the equations (1), (2), (3) and (4) we can derive the following
symmetry formula:

(5)   m(p)/m(e) = r(p)/r(e)

The measured value of the mass ratio m(p)/m(e) = 1836.15.
From equation (5) we see that the average radius r(e) of the electron
is about 1836 times smaller than the average radius r(p) of the
proton.

UNIFICATION OF MICROPHYSICS AND MACROPHYSICS
I postulate the following connection between the actual average radius
R of the Universe and the total mass M of the Universe. (Please see
the link to my treatise “Quantum Cosmology”).

(6)  R = N(e)^3*(h/(M*c))

In equation (6) h is Planck’s constant and c the velocity of light.
The equation (6) gives a unification of microphysics and
macrophysics.
From (1), (2), (3), (4) and (6) we can derive the following
connections between cosmological quantities and atomic quantities:

(7)   r(p) = R*m(p)*(G/(k*e^2))^(1/3)

(8)   r(e) = R*m(e) )*(G/(k*e^2))^(1/3)

(9)   R = N(e)*((m(e)^2*h)/(m(p)^3*c))^(1/4)* (r(p))^(3/4)

(10)   M = N(e)^3*(h/(R*c)

CALCULATIONS OF R AND M FROM ATOMIC QUANTITIES
With a measured mean value of the (mass) radius r(p) = 1.3*10^(-15)
meter of the proton we can calculate R and M from equation (9) and
(10). We get:

(9a)   R = 1.3*10^26 meter

(10a)   M = 1.2*10^60 kg

We can calculate the average radius of the electron r(e) from the
simple equation (5) but also from the equation (8) with the use of
(9a). We get:

(5a)   r(e) = 7.0*10^(-19) meter

Experiments must be designed to measure the mean radius r(e) of the
electron and then it can be shown if the above connections between
macro-cosmos and micro-cosmos are right or false.

THE AGE OF THE UNIVERSE
From the actual radius R of the Universe we can calculate the age T of
the Universe from the equation:

(11)   T = R/c = 13.8*10^9 years = 13.8 billion years

The calculated age T of the Universe is in concordance with the actual
measured value.

Read more in my treatise:
http://www.rostra.dk/louis/

Comments to the above considerations are very welcome.

Best regards
Louis Nielsen
Denmark