A Law-Abiding Cosmology Model

10 May 2017 Version


Robert M. Hartranft                  Scott W. Hartranft

Simsbury CT 06070                  Aloha OR 97006



Suppose the laws of physics are truly invariant:  the same at every time and place; before, during, and after the Big Bang; inside, outside, and on the boundaries of black holes; etc.  No clever contrivances like “Cosmic Inflation” to get the universe expanding.  No physics magic like “Dark Energy” to accelerate expansion.  The laws of physics were, are, and always will be, everywhere in the universe, as they are here and now.


The two Figures below then follow:




Positive Components

Negative Components

Net For Universe

Electric Charge

(+) Charges

(-) Charges


Magnetic Pole

North Poles

South Poles






Normal Mass








Text Box: Figure 1




“Cancellation” To Empty Void

Reserved: 0                  








Normal Mass






Annihilation To           2 Unphotons


Annihilation To     2 Photons



Text Box: Figure 2



The Big Bang produced two exactly concentric, mutually gravitationally repulsive, inter-meshed, expanding spheres, one of positive mass Matter and Anti-Matter, the other of negative mass Unmatter and Anti-Unmatter.  The cosmology this produced was:

Text Box: Figure 3


Time From              Big Bang Start

Initial Condition:  Empty Void


Laws of Physics Created

No “clocks”

Big Bang Started, Strong Nuclear Repulsion


Nucleons, Atoms Appeared, Separated

Hours, years

      Initial ±Mass Segregation, Small Acceleration

Hours, years

First Generation Stars Formed

104 years?

Black Holes Formed, Aggregated       

~105 years?

Supermassive Black Holes Moved, Spun

106  years?

Galaxies Formed

107  years?

Hartranft Speculated

14x109 years


Initial Conditions:  Endless void.  No mass-energy.  No laws of physics. Time was undefined.


Creation Event:  Creation of the laws of physics, including conservation of mass-energy. But there were no “clocks” – periodic events –  to measure time.


Big Bang:  Produced two exactly concentric, mutually gravitationally repulsive, inter-meshed, expanding spheres, one of positive mass Matter and Anti-Matter, the other of negative mass Unmatter and Anti-Unmatter.

Inertia:  Caused by self-gravity; therefore present from the start of Big Bang.

Initial Expansion:  Zero net external gravitational force.  Zero net external electromagnetic force.  Strong nuclear force – which is repulsive at very short ranges – drove expansion.

In this era, every point in the universe – except the several  nucleons thick outermost layer – experienced the same forces, and therefore the expansion would have seemed to an internal observer to have no center.

Cancellation was rare in this era because it requires time for a particle/unparticle pair to form and to decay down to the ground state, from which cancellation is possible.  For comparison, the half-life of “positronium” (an electron and a positron) is 0.125 nanoseconds.   While this is a short interval under most conditions, it is a very long interval here.  The pair would be knocked apart before it could cancel.


Segregation and Acceleration.  Simultaneously with the above, the positive and negative mass material was separating into distinct regions.  Because of gravitational repulsion and cancellation, the regional boundaries were distinct, and there were no small inclusions of opposite sign mass material in the various regions. This separation caused repulsion between unlike regions, which caused accelerating expansion.   After a few hours, nucleons appeared and then separated.  Inertia caused expansion to continue.  After a few years, atoms appeared and then separated.  Inertia caused expansion to continue. 


First generation stars formed.  Because there was no spin and only small acceleration, but high material density, they were very large and therefore short-lived.  This produced an immense number of both matter and unmatter black holes.  Many of these then agglomerated into supermassive black holes, which generally then further grew by absorbing material in an adjacent region with a nearly equal radius from the Big Bang center.  This caused them to accelerate laterally and to spin.  The lateral motion gave them access to additional material. 


Galaxies then appeared as the spinning supermassive black holes accumulated orbiting material.


All just straightforward application of invariant laws of physics – neither clever Cosmic Inflation nor magic Dark Energy!




About the authors:  Both authors are graduates of the Cornell University College of Engineering:  Robert in Engineering Physics in 1966, and Scott in Electrical and Computer Engineering in 2001.  Robert is Scott’s father. This work was made

possible by the tireles support of Dr. Martha Hartranft (Robert’s wife, Scott’s mother).


http://etc.usf.edu/clipart/22400/22428/isaac_newton_22428_lg.gifNote that the three most fundamental equations for mass,

F = ma                                           Inertia

F = Gm1m2/r2                                 Gravity

E = mc2                                          Relativity

are all symmetric for positive and negative values of m.  This suggests a family of negative mass particles (“unmatter" or “anti-unmatter" here), with zero net mass-energy for the universe overall.  The positive m matter and anti-matter

gravitationally attract other positive m material; negative m unmatter and anti-unmatter gravitationally attract other negative m material; but positive m material gravitationally repels negative m material.  (The parallel to British physicist P.A.M. Dirac in 1930 is clear and compelling.  Dirac made a similar observation about the electromagnetic equations.  The discovery of the positron followed quickly, followed by the whole anti-matter family.) 


Anti-matter v. unmatter:   It is important to understand that ordinary anti-matter is still positive mass.  For example, when an electron and an anti-electron (a.k.a. a positron) “annihilate”, they create two 0.51 Mev gamma rays, precisely equivalent (E = mc2) to the sum of the masses of the two particles.  By contrast, if an electron and a negative mass unelectron “cancel”, they simply disappear – which is again equal to the sum of the initial masses – zero.


There are no “worm holes” nor other cosmic shortcuts in this model:  the speed of light limitation applies everywhere and always except to the Creator himself.


Black holes are not singularities in this model: they are simply quantum mechanical regions of particularly intense gravity.  The laws of physics are the same inside, outside, and at the boundary of a black hole, whether of matter or unmatter.


John 1:1 in the King James Version of the Bible provides an elegant summary of the universe after the creation of the laws of physics but before the Big Bang:

In the beginning was the Word,

  and the Word was with God,

  and the Word was God.


Or in the notation of modern mathematical physics:

            Ʃ universe (m) = 0


We believe that the model proposed here can be described in finite-element analysis computer code to explore aspects of cosmology never before susceptible to such analysis.  We hope others with more experience in finite-element analysis will agree and do those analyses.

This model v. “physics miracles”.   We also note that most current cosmology models require three “major physics miracles”:

1.    The creation of an all-positive-mass universe, which is a huge violation of the conservation of mass-energy.

2.    “Cosmic inflation” to allow initial expansion despite gravity.  And,

3.    “Dark Energy”, an unspecified material which somehow causes accelerating expansion in the current era.

Most current models also require “minor physics miracles” to explain:

1.    Earlier appearance of stars than predicted.

2.    Earlier appearance of galaxies than predicted.

3.    Earlier appearance of galactic spins than predicted.

4.    More sharp1y defined boundaries between regions than predicted.  And,

5.    Absence of small islands of visible matter in the “voids”.


None of these “miracles” are necessary in the model proposed here because the combination of gravitational attraction and repulsion is more effective at agglomerating material than attraction alone.  Even the Creation Event, which here is the creation of the laws of physics, is unopposed.


Two verification experiments:  Looking for locations in a sky map where unphotons from an ungalaxy have “cancelled” the positive energy photon "mist" should work.  Such locations would appear as small black dots in the sky map, stable in both time and position.


A direct imaging camera may also work.  The detector pixel could be supplied electrons at elevated energy.  Any transitions to ground state without photon emission would hopefully be mostly from unphoton absorption.  The lens would be just a drilled block of the same material held at the elevated energy.


Unresolved:  Note that this model does not resolve Why the Big Bang occurred, nor the Masses of the individual spheres.  By default, these are left to the Creator to decide.