A Planck unit Mathematical Universe Hypothesis

a model of the universe in terms of the geometry of angular momentum
updated 28 May 2015

Postulates a Planck unit Mathematical Universe where our dimensions and units (mass, space, time...) are Planck units (Planck mass, Planck time, Planck length etc) and that these units themselves are the construct of a more fundamental singular geometry - hence the classification as a Mathematical Universe Hypothesis.

As these units are aspects of this singular geometry, we may combine them so as to reflect this geometry, which itself may then be classified as a dimensioned constant for its solution will always give the same numerical value regardless of which units or dimensions are used. As an example, we see that the electron frequency is based upon this geometry (the electron itself is a dimensioned constant) and so we can use this principle to solve the electron mass and the other fundamental constants to a 10-digit precision.

The radius of this geometry is the square root of momentum (denoted Omega) and its spherical nature suggests our universe is the geometry of angular momentum. The Planck units can be derived from the following geometrical shapes.



This site is divided into 4 parts;
1. Gives solutions to the fundamental physical constants in terms of alpha the fine structure constant, the sqrt of Planck momentum, the speed of light and Planck time. Precision of the solutions is limited by the precision of the Rydberg constant (12-13 digits).
2. The electron (and so all charges) as a function of magnetic monopoles as ampere-meters (constructed from AL and alpha the fine structure constant). Suggests a Planck unit theory where this electron frequency shell dictates the frequency of the dimensioned Planck units.
3. The 4 forces as physical orbitals (physcial waves of momentum akin to photons). Replaces the 4 fundamental forces with physical orbitals as units of momentum.
4. The cosmological constant and a black-hole white-hole universe. Suggests our universe is not a closed system but has a corresponding twin. Cosmological constant defines universe age when CMB temperature reaches absolute zero. It may be that our universe is simply the geometry of angular momentum.

The above is condensed from the (online) book Platos Cave; a model of the universe in terms of the geometry of angular momentum     


Part 1: A Planck unit Mathematical Universe Hypothesis
Solves the physical constants G, h, e, me, kB... as geometrical shapes in terms of the sqrt of momentum, the velocity of light, alpha the fine structure constant and Omega (or the vacuum of permeability μ0 and the Rydberg constant R). An online calculator is provided to confirm the veracity of the results;



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. 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



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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