# Electron (mathematical)

**Coding the electron for deep universe (Programmer God) Simulation Hypothesis models**

The deep universe simulation hypothesis or simulation argument is the argument that the physical universe (to the Planck scale and perhaps below) could resemble a computer simulation, coded by a Programmer God (in the creator of the universe context).

In the mathematical electron model ^{[1]}, the electron is a mathematical function *f*_{e} that embeds the Planck units, there is no 'physical' electron. The dimension-ed electron parameters (mass, wavelength, frequency ...) are derivatives of these Planck units, the function *f*_{e} dictating the application of the Planck units. All information is encoded into geometrical objects.

## Geometrical objects[edit | edit source]

Base units for mass , length , time , and ampere are constructed as geometrical objects in terms of 2 dimensionless physical constants, the fine structure constant *α* and Omega *Ω*

Being independent of any numerical system and of any system of units, these MLTA units qualify as "natural units";

...These necessarily retain their meaning for all times and for all civilizations, even extraterrestrial and non-human ones, and can therefore be designated as "natural units"... -Max Planck

...ihre Bedeutung für alle Zeiten und für alle, auch außerirdische und außermenschliche Kulturen notwendig behalten und welche daher als »natürliche Maßeinheiten« bezeichnet werden können...^{[2]}^{[3]}

### Relation[edit | edit source]

A mathematical relationship between the objects;

### Attribute[edit | edit source]

Each object is assigned a unit (for example object L is 'length')

Attribute | Geometrical object | Relation |
---|---|---|

mass | ||

time | ||

length | ||

ampere |

The following *u ^{n}* groups cancel

## Mathematical electron[edit | edit source]

The electron function incorporates these geometrical base units yet itself is unit-less; units = 1.

For example, *f _{e}* can be defined in terms of

*σ*, AL as an ampere-meter (ampere-length) are the units for a magnetic monopole.

_{e}

##### Electron parameters[edit | edit source]

The electron has dimension-ed parameters, the dimensions deriving from the base units, *f _{e}* is a mathematical function that dictates how these units are applied, it does not have dimension units of its own, consequently there is no physical electron, only these electron parameters. By setting

**MLTA**to their Planck unit equivalents;

electron mass (M = Planck mass)

electron wavelength (L = Planck length)

We may interpret this formula for **f _{e}** whereby for the duration of the electron frequency (0.2389 x 10

^{23}units of

**T**) the electron is represented by

**AL**magnetic monopoles, these then intersect with time

**T**, the units then collapse (units

**(A*L)**= 1), exposing a unit of

^{3}/T**M**(Planck mass) for 1 unit of

**T**, which we could define as the

*mass point-state*. Wave-particle duality at the Planck level can then be simulated as an oscillation between an electric (magnetic monopole) wave-state (the duration dictated by the particle formula) to this unitary mass point-state. The magnetic monopoles are analogous to quarks (by adding the exponents of

**u**) but due to the symmetry and so stability of the geometrical

**f**this may not be observed (as the monopoles are equivalent there is no fracture point).

_{e}By this artifice, although the physical universe is constructed from particles (particle matter), particles themselves are not physical, they are mathematical.

Note: Using this approach, at the Planck scale quantum effects do not apply, rather quantum events such as the electron are a measure of discrete Planck events spread over time (the duration of a particle wave-state to point-state oscillation). The quantum world (of probabilities) thereby emerges from the discrete Planck world.

##### Electron Mass[edit | edit source]

If the particle point-state is a unit of (Planck) mass then we have a model for a black-hole electron (an electron centered around a Planck size black-hole). When the wave-state **(A*L) ^{3}/T** units collapse, this black-hole center is exposed (for 1 unit of

**T**). The electron now is mass

**M**. Mass would not then be a constant property of the particle, rather the measured particle mass

**m**would be the average mass, the average occurrence of the mass point-state as measured over time. As for each wave-state then is a corresponding point-state, and as

_{e}*E = hv*is a measure of the frequency of the wave-state and

*m*a measure of the frequency of the point-state, then

*E = hv = mc2*.

If the scaffolding of the universe includes units of (Planck) mass **M** then it is not necessary for the particle to have any mass, instead the point state becomes the absence of particle ^{[4]}

## External links[edit | edit source]

- Simulation Hypothesis modelling at the Planck scale
- Programming Planck units for mass, length, time, charge
- Programming relativity at the Planck level
- Programming gravity at the Planck level
- Programming the cosmic microwave background CMB at the Planck level
- The Source Code of God, a programming approach -online resource
- Simulation Argument -Nick Bostrom's website
- Our Mathematical Universe: My Quest for the Ultimate Nature of Reality -Max Tegmark
- Dirac-Kerr-Newman black-hole electron -Alexander Burinskii
- The Matrix, (1999)
- Pythagoras "all is number" - Stanford University
- Simulation Hypothesis
- Mathematical universe hypothesis
- Philosophy of mathematics
- Philosophy of physics
- Platonism

## References[edit | edit source]

- ↑ Macleod, M.J. "Programming Planck units from a mathematical electron; a Simulation Hypothesis".
*Eur. Phys. J. Plus***113**: 278. 22 March 2018. doi:10.1140/epjp/i2018-12094-x. - ↑ Planck (1899), p. 479.
- ↑ *Tomilin, K. A., 1999, "Natural Systems of Units: To the Centenary Anniversary of the Planck System", 287–296.
- ↑ platoscode.com/physics/ 'the Source Code of God, a programming approach', 2021