updated 12 Nov 2014

A model of a 3-D Planck unit Universe
dimensions: Planck temperature, sqrt of Planck momentum sqrt(kg.m/s), magnetic monopole electron
geometries: 2π, fine structure constant alpha, Omega = sqrt(π^e/e^(e-1))

Postulates a Planck unit Mathematical Universe Hypothesis based on 3 geometries; , the fine structure constant alpha and Omega ... and 3 dimensional quantities; a = Planck temperature, b = sqrt of Planck momentum and u0 = the magnetic monopole.

From these 3 dimensional quantities; a = Planck temperature (entropy), b = sqrt of Planck momentum and u0 = magnetic monopole, we can construct the 5 SI units; M-kg, L-m, T-s, A-ampere, K=Kelvin.

From these 3 geometries , alpha α = 137.0599... and Omega Ω = sqrt(π^e/e^(e-1)), we can construct universe level Planck units and subsequently solve G, h, e, c, me, μ0, kB... (see online calculator).

This page is divided into 4 parts. Also a non-technical discussion of the concepts and philosophy can be read online (chapter 2).
"Platos Cave: a model of the universe in terms of the geometry of momentum"     

Part 1: Postulates a 3-D Planck universe
From 2π, α, Ω, a and b we can solve G, h, e, c, me, μ0, kB... via
T - Planck time: tp = 2π.a6
L/T - velocity: c = 2π.Ω2.b3/a
L - Planck length: lp = 2π2Ω2.a5b3
M - Planck mass: mP = 1.ab5
A - Planck charge: A = 64π3Ω3/(α.a3b3)

For further discussion (and online calculator) read more....

Part 2: Electron as a standing wave magnetic monopole
Proposes a formula for a magnetic monopole (quark) from Planck time tp, -e, -c and alpha. Uses this monopole to solve the mass of the electron and the Rydberg constant. Results consistent with CODATA 2010. Suggests a temperature particle, the 'kelvon'. read more...

download paper: Spherical electron as 'quark' magnetic monopole
download paper: Fine structure constant alpha and the sqrt of Planck momentum

Part 3: GUT Unified Field Theory: the 4 forces as physical standing wave orbitals
Replaces the 4 fundamental forces (strong, electric, gravity) with standing wave orbitals (wave functions are treated as physical waves, essentially photons albiet of opposite phase). This offers a rationale for the empty space within an atom, how electrons jump between orbitals in the atom, what is gravitational potential and kinetic energy, quantum entanglement, the relationship between nuclear binding energy, ionisation energy and escape velocity...

download paper: Unified Field Theory of Anti-photon Orbitals (nuclear, atomic, molecular, gravitational)

The online gravitational wave calculator calculates gravitational wave frequencies for a 1kg object lifted to height h. to calculator...

Part 4: Cosmological constant and expanding black-hole universe with contracting white-hole universe twin
Proposes an expanding rotating charged black-hole universe with a contracting white-hole universe twin. Units of Planck momentum are transferred in discrete steps from the white-hole universe to our black-hole universe. Derives mass domain parameters from 3-D sphere volume and charge (electromagnetic) domain parameters (i.e.:Stefan-Boltzmann constant) from 4-D sphere surface area. Offers solution to CMB (cosmic microwave background) mass density, radiation energy density and temperature. Suggests a cosmological constant based on a temperature particle, the 'kelvon'.

The online calculator demonstrates this relationship to calculator...

download paper: Time, Dark Energy and the Black-hole White-hole Universe update pending
download paper: Fine structure constant alpha and the sqrt of Planck momentum

Nobel laureate Leon Lederman once wrote:

'My ambition is to see all physics reduced to a formula so elegant and simple that it will fit on a T-shirt'

Leon Lederman TOE t-shirt

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email: maclem @ planckmomentum.com
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Formulas listed on this site may be freely used for non-commercial purposes with proper credit to www.planckmomentum.com