# Einstein Probabilistic Units

This resource includes primary and/or secondary research. Learn more about original research at Wikiversity. |

# Einstein's Probabilistic Units the Road to Unification[edit | edit source]

**This resource includes primary and/or secondary research.**

Einstein’s probabilistic units are a set of units of measurement defined in terms of Einstein A and B Coefficient. Einstein coefficients are mathematical quantities which are a measure of the probability of absorption or emission of light by an atom or molecule. The Einstein A coefficient is related to the rate of spontaneous emission of light and the Einstein B coefficients are related to the absorption and stimulated emission of light.

In Einstein’s paper “On The Quantum Theory of Radiation” (Albert Einstein, Physikalische Zeitschrift, 18 (1917), 121-128-trans”) Einstein remarked that the “states of the internal energy of the molecules is established only by the emission and absorption of radiation.”

Einstein'a Probabilistic Units are developed on the general assumption that all physical states are solely the result of emission or absorption process including those states of space-time.

# The ABC of Einstein Probabilistic Units[edit | edit source]

The Einstein A coefficient is related to the probability of spontaneous emission from an object or system, and the Einstein B coefficient is related to the probability of absorption or stimulated emission from an object or system. C is the speed of light.

These new probabilistic can be expressed using the following base units;

- kg = mass
- m = distance
- s = time

Electromagnet units are defined as;

- Q
^{2}= charge squared = N m^{2} - μ
_{0}= permeability = c^{-2} - e
_{0}= permittivity = 1

- Q

## A - Einstein’s Probabilistic Unit[edit | edit source]

### Spontaneous emission[edit | edit source]

Spontaneous emission is the process by which an electron "spontaneously" (i.e. without any outside influence) decays from a higher energy level to a lower one. The process is described by the Einstein coefficient *A*_{21} (*s*^{−1}), which gives the probability per unit time that an electron in state 2 with energy will decay spontaneously to state 1 with energy , emitting a photon with an energy *E*_{2} − *E*_{1} = *hν*. If is the number density of atoms in state *i* , then the change in the number density of atoms in state 2 per unit time due to spontaneous emission will be

The same process results in increasing of the population of the state 1:

The Einstein A Probabilistic Unit is comparable to a unit frequency measurement.

As a unit of time measurement the Einstein A Probabilistic Unit is solely base on an objects or systems probability of spontaneous emission.

Some general observations;

- All clocks are internal spontaneous emission clocks
- Since Einstein’s A Probabilistic Unit of time is sole base on spontaneous emission this gives time the property of having only a single direction. There is no spontaneous absorption to give time a backward or an opposite direction.
- Because in an isolated system there is no external stimulated absorption or emission time can only measure time by spontaneous emission.
- For a non-isolated system changes in a systems stimulated absorption or emission only speeds up or slows down the rate of change of time not change the direction of time.
- This gives rise to Special Relativity and Heisenberg Uncertainty Principle

For a non-isolated system changes in a systems stimulated absorption or emission must balance one and another. As such due to spontaneous emission and objects entropy must continually decrease and a system’s entropy must continually increase. While the rate of change is dependent in entropy is dependent on stimulated absorption or emission only

## B - Einstein’s Probabilistic Unit[edit | edit source]

### Stimulated emission[edit | edit source]

main article Stimulated emission

Stimulated emission (also known as induced emission) is the process by which an electron is induced to jump from a higher energy level to a lower one by the presence of electromagnetic radiation at (or near) the frequency of the transition. From the thermodynamic viewpoint, this process must be regarded as negative absorption. The process is described by the Einstein coefficient (J^{−1} m^{3} s^{−2}), which gives the probability per unit time per unit spectral energy density of the radiation field that an electron in state 2 with energy will decay to state 1 with energy , emitting a photon with an energy *E*_{2} − *E*_{1} = *hν*. The change in the number density of atoms in state 1 per unit time due to induced emission will be

where denotes the spectral energy density of the isotropic radiation field at the frequency of the transition (see Planck's law).

### Absorption[edit | edit source]

Absorption is the process by which a photon is absorbed by the atom, causing an electron to jump from a lower energy level to a higher one. The process is described by the Einstein coefficient (J^{−1} m^{3} s^{−2}), which gives the probability per unit time per unit spectral energy density of the radiation field that an electron in state 1 with energy will absorb a photon with an energy *E*_{2} − *E*_{1} = *hν* and jump to state 2 with energy . The change in the number density of atoms in state 1 per unit time due to absorption will be

Einstein’s B Probabilistic Unit is thus defined as

The Einstein B Probabilistic Unit bonds space and matter into a single unit of measurement. As a unit of measurement the Einstein B Probabilistic Unit is based on an objects or systems probability of stimulated absorption or emission.

Some general observations for Einstein B Probabilistic Unit ;

- Comparable to the inverse linear density of a string
- It ratio holds from the Planck scale to universe sale
- It's ration is invariant to general and special relativity

## C – Speed of Light[edit | edit source]

In Einstein’s Probabilistic Unit the speed of light, c, is a constant of proportionality.

As we will see this constant of proportionality serves as a transformational and/or scaling utility.

# Road to Unification[edit | edit source]

## Scaling of Einstein’s B Probabilistic Unit[edit | edit source]

Einstein’s B Probabilistic Unit from the Planck scale to that of the scale of the universe:

### Planck Scale[edit | edit source]

### Universe Sacle[edit | edit source]

From an order of magnitude perspective these numbers are extremely close due to how the universes critical density is calculated.

### Black Hole[edit | edit source]

A black hole can be defined by the Schwarzschild radius

Expressing this using Einstein Probabilistic Units

Solving for B give us

## Force[edit | edit source]

In Einstein's Probabilistic force is expressed as:

Expressed slightly differently it is quite similar to Einstein's energy equation

Einstein's Probabilistic force has the potential to be the fifth force.

## Newton’s Gravitational Constant[edit | edit source]

Einstein B Probabilistic Units can be used to derive Newton’s Gravitational constant expressed in terms of Einstein B Probabilistic Units.

## Einstein Constant[edit | edit source]

The Einstein Constant expresses how stress energy and deformation space time are related.

## Gravitational Permeability[edit | edit source]

At the Planck scale using Planck frequency the Einstein B Probabilistic Units is equivalent to the gravitational permeability of free space and can be expressed as;

## Cosmological Constant[edit | edit source]

The value of the Cosmological is:

## Dark Energy[edit | edit source]

Viewing space as a system of stimulated absorption or stimulated/spontaneous emission governed by Einstein Probabilistic's Units.

Using Einstein Probabilistic Units dark energy density is defined as;

Assuming the energy density of dark matter is;

Let us calculate the frequency of dark matter;

Given Rydberg constant is defined as;

Using Rydberg constant we can define dark energy frequency as;

From an order of magnitude perspective dark energy is related to Einstein Probabilistic Units by Rydberg constant

## Fine Structure Constant[edit | edit source]

Given the Fine Structure Constant is related to the probability that an electron will emit or absorb a photon.

Thus the Fine Structure Constant is directly related to Einstein B Probabilistic Unit for spontaneous absorption

# Electromagnetism[edit | edit source]

Several electromagnetic relationships are expressed using Einstein A and B Coefficient

## Electric field[edit | edit source]

## Magnetic field[edit | edit source]

## Charge[edit | edit source]

**Electric charge squared**

**Electric charge**

## Relative strength of electromagnetic and gravitational forces[edit | edit source]

Using dimensional profiling force is a D^{2} object and Charge is a D^{2} object, while Mass is a D^{3} object.

From this we realize that matter requires an additional dimensional transformation in order to become a force. This additional dimensional transformation results in the reduction of the overall force as a D^{3} Mass object is transformed into a D^{2} Force object. Given both A and B Einstein Probabilistic Units are a function of frequency from this we could conclude that relative strength of electromagnet and gravitational force is related frequency.

From the above the relative strength of an electron’s gravational forces to its electromagnet force is

For an electron at rest we can use the Compton frequency

Generally speaking this is consistent with prediction that Relative Strength of Electromagnet and Gravitational Force is driven by B Einstein Probabilistic Unit.

# Appendix[edit | edit source]

Dimensional Profilingis a process of assigning dimensional properties to units

Gravitoelectromagnetism

Space Time Einstein Probabilistic Units fabric of space