updated Jan 2014

A Planck unit Mathematical Universe Hypothesis in terms of Mass, Time and Momentum

Postulates a Planck unit Mathematical Universe Hypothesis based on 3 units (dimensions); Planck mass, Planck time, the sqrt of Planck momentum as the area of the circle (piR2), and 2 constants; alpha the fine structure constant and Omega (Ω2 ~ π^e/e^(e-1)).

The 5 SI units; M-kg, L-m, T-s, A-ampere (charge), K=Kelvin (temperature) are redefined in terms of 3 primary units; M, T, Q where Q is the square root of Planck momentum, such that;

Natural units:
M = 1 (mass)
T = 2pi (time)
Q = Ω (sqrt of momentum)

SI equivalents:
M = mP (Planck mass)
T = tp (Planck time)
Q = 1.019113411... (sqrt of Planck momentum)

From these units we may construct the other constants

... and use these to derive and solve the physical constants G, h, e, me, kB... with a 10-digit precision (see online calculator)

This site is divided into 4 parts;
1. the natural constants as geometry of M, L, Q
2. the electron as a magnetic monopole
3. the 4 forces as physical orbitals (physcial waves of momentum akin to photons)
4. the cosmological constant and a black-hole white-hole universe

The above is condensed from the book "Platos Cave: a model of the universe in terms of the geometry of momentum", read chapter 1.2 online.     

Part 1: Postulates a Planck unit Mathematical Universe Hypothesis
From either natural or SI units M, L, Q we may solve the formula for the electron frequency felectron = .418489683683e-22. This formula can then be used to solve the Rydberg constant, the most accurate of the natural constants and so give an accurate value for Q. Planck time may be redefined in tems of the permeability of vacuum (exact value) and Planck mass using c (exact value);

For further discussion (and online calculator) to calculator....

For a complete discussion, download paper: updated December 2014
Planck unit Mathematical Universe Hypothesis

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. read more...

download paper: Spherical electron as magnetic monopole

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.

The online calculator demonstrates this relationship to calculator...

download paper: Time, Dark Energy and the Black-hole White-hole Universe

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

Copyright (C) © 2003 to present, Malcolm Macleod
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