Mathematical Physics

   

Programming Planck Units from a Virtual Electron; a Simulation Hypothesis (Summary)

Authors: Malcolm Macleod

The Simulation Hypothesis proposes that all of reality, including the earth and the universe, is in fact an artificial simulation, analogous to a computer simulation, and as such our reality is an illusion. In this essay I describe a method for programming mass, length, time and charge (MLTA) as geometrical objects derived from the formula for a virtual electron; $f_e = 4\pi^2r^3$ ($r = 2^6 3 \pi^2 \alpha \Omega^5$) where the fine structure constant $\alpha$ = 137.03599... and $\Omega$ = 2.00713494... are mathematical constants and the MLTA geometries are; M = (1), T = ($2\pi$), L = ($2\pi^2\Omega^2$), A = ($4\pi \Omega)^3/\alpha$. As objects they are independent of any set of units and also of any numbering system, terrestrial or alien. As the geometries are interrelated according to $f_e$, we can replace designations such as ($kg, m, s, A$) with a rule set; mass = $u^{15}$, length = $u^{-13}$, time = $u^{-30}$, ampere = $u^{3}$. The formula $f_e$ is unit-less ($u^0$) and combines these geometries in the following ratio M$^9$T$^{11}$/L$^{15}$ and (AL)$^3$/T, as such these ratio are unit-less. To translate MLTA to their respective SI Planck units requires an additional 2 unit-dependent scalars. We may thereby derive the CODATA 2014 physical constants via the 2 (fixed) mathematical constants ($\alpha, \Omega$), 2 dimensioned scalars and the rule set $u$. As all constants can be defined geometrically, the least precise constants ($G, h, e, m_e, k_B$...) can also be solved via the most precise ($c, \mu_0, R_\infty, \alpha$), numerical precision then limited by the precision of the fine structure constant $\alpha$.

Comments: 7 Pages.

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Submission history

[v1] 2013-08-22 03:52:44
[v2] 2013-10-09 07:00:22
[v3] 2014-01-04 23:12:26
[v4] 2014-02-23 04:21:40
[v5] 2014-03-18 11:04:27
[v6] 2014-04-10 07:11:53
[v7] 2014-10-31 08:53:01
[v8] 2014-11-11 11:12:08 (removed)
[v9] 2014-11-24 09:21:15 (removed)
[vA] 2014-11-29 07:32:33 (removed)
[vB] 2014-12-09 08:59:30 (removed)
[vC] 2014-12-31 03:58:16 (removed)
[vD] 2015-02-10 14:18:23 (removed)
[vE] 2015-02-27 11:24:55 (removed)
[vF] 2015-04-30 12:06:20 (removed)
[vG] 2015-07-11 01:48:18 (removed)
[vH] 2015-11-04 03:34:20 (removed)
[vI] 2016-02-06 16:11:20 (removed)
[vJ] 2016-02-09 13:54:52
[vK] 2016-07-15 04:01:06
[vL] 2016-09-02 03:15:54
[vM] 2016-12-24 22:38:55
[vN] 2017-03-12 03:04:56
[vO] 2017-07-02 02:49:19
[vP] 2017-09-04 03:34:54
[vQ] 2017-10-27 15:31:06
[vR] 2017-12-30 04:00:04
[vS] 2018-03-04 01:10:54
[vT] 2019-02-01 05:08:58

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