Hi:

In the model, the universe is eternal. I could list a half a dozen engineering reasons why I believe it can only exist as an eternal entity.

The problems are mathematical irrationality in the system, and coordinate shift- and the key is, how much coordinate shift in each cycle? Mathematicians reading this might be interested to know that the MAXIMUM coordinate shift per cycle is the Planck length...10 to the minus 33rd Cm. per cycle as observed from our frame, but since cosmic singularity acts more like a phase solid, causing "bounce", coordinate shift might be far less per cycle...and be related not to actual linear shift but rather rotation in the footing at the foundation of our reality.

GR is based on a totally invariant frame of reference system, but it is generally accepted by scientists that GR cannot be used in the Planck realm...the region the author is speaking about...see: "For scientists concerned about the horizon problem" on the home page of this site. Mathematically, the totally invariant frame of reference system based on geometric points in GR comes out at the back end as a need for a "cosmological constant".

The real multidimensional, spherical GR universe model demands that "invariant" frame of reference coordinates not be perfectly invariant. From an observational standpoint, if the universe was not in a state of constant change, eternal or not, time could not be said to exist! To state it another way, motion and change (time) as we observe them, however illusory they are, MUST be a projection of a cosmic time which is greater than instantaneous.

Mathematical irrationality, inherent in spherical models, confirms the necessity for time! What a universe!... this is definitely NOT the place to look for perfection, rather struggle against chaos. It doesn't take much to change the universe in a big way either!

Continental drift, resulting from the very slow shift in the guts (bedrock) of the earth is the 4D projection, and I think it is appropriate. We can assume that by slow coordinate change we mean ultra-slow, just as cosmic time is ultra-brief!

This assumption is not groundless...we live in a pretty massive universe compared to the earth. Philadelphia or London on the Earths surface may shift by 2 centimeters per year, but we on the 4D surfaces of a universe with a mass of between 10 to the 53rd and 10 to the 60th KG would experience almost imperceptible change as we "ride the wave front". Its a good thing.

Because of the math, I can just plain assert that the universe is NOT riding the edge perfectly. It is either moving toward disorder or order. In this model, ( and I believe it is on the right track, at least, for we ARE here...excuse the Anthropic Principle) life and its complexity drives the universe toward order.

Our lives are lengthening and changing. There was perhaps a time in the past, 1,000,000 cycles ago, when my life ended in front of that trailer. 500,000 cycles ago, my life ended in an airplane accident. There was a time, 100,000,000 cycles ago, when Sam Cox as I know him, did not exist. 100,000,000 cycles in the future, Sam Cox will become something that I could not recognize from my present frame. The 4D projection of 7D, of course is ontogeny vs phylogeny.

Those readers interested in topology might have noted my reference to cosmic singularity as a "phase solid". It is becoming clear that singularity has at least two phase properties...solid/ amorphous and liquid /spinning. It has been proposed that particles, atoms and ourselves are topological defects created during singular phase transition.The layman would perhaps understand me better if I say that cosmic singularity spins and particulates in the momentum of GR free fall, much as water spins and particulates as it goes over a waterfall.

Topologically the "universe" is a bifid, almost infinite number of everywhere singular vortices or whirlpools, but this analogy has SEVERE dimensional limitations! The universe everywhere around us, the cosmos as WE observe it within a few orders of magnitude at our frame, is coming out of the big bang, going down the microsingular drain and re-emerging on the other side of time. Every particle is perfectly and inversely mapped to its opposite in the other "hemisphere", where the process continues eternally. The vortex surfaces of this everywhere process (topological defects- solitons) are observed as particles, atoms and matter and make up our earth, and ourselves. Time dilation makes sensible observation of the process possible, for in proper time, this cosmic collapse occurs in a fraction of an Earth second.

Observing frames of reference are based on photons and most are large in scale. Anyone knows that it is more difficult to hit a small target than a large one when we go to the rifle range. I believe the size of most observing frames in and of itself betrays some instability and shift of coordinates in the universe, and is natures way of solving a number of engineering problems relating to the cosmological parameters. There is a wide range of stability in scale- the proton is stable...but complex structures at a higher level of scale must be even more durable over cosmological time. Relative safety in size doesn't just apply to Elephants!

A proton which becomes an antiproton and then a proton again at cosmic singularity is a ho-hum event.Protons are carbon copies of each other and as a set share common characteristics. The same thing is true of most sub-atomic particles. At this level of scale, very close to the submicroscopic antipode, particles actually can act like light itself, showing both particle and wavelike characteristics.

A number of orders of magnitude higher along the space/ time dilation dimension, particles organize into atoms. What kind of atoms are formed is determined by the case history of each invariant reference frame. At this level, holographic differentiation, on 4D surfaces at 360 degrees is well underway. Farther from the antipode, at our level of scale/ time dilation, the time process and complexity of the particular hemisphere we are observing comes fully into focus. Time passage as we observe it is an illusion, a projection of the fundamental momentum of Space, Time and Energy. Because of the inverse mapping of every atom and object on the two/ sphere, the white hole, decreasing entropy hemisphere is observed from a cosmologically remote location in generally increasing entropy, and the inverse.

Creating and conserving complexity sufficient to cognate, relate and observe the universe requires building on a nice stable sub-atomic foundation with even more redundant systems...of which scale is one. Sphere flaking spinning singularity in free fall creates the vast information storing surface necessary to store the information but does NOT create permanence.

The sub-atomic universe is cosmologically unstable along the time axis. This means that in proper time, each hemisphere of the universe undergoes a sequential, programmed collapse in no more than a fraction of an Earth second. The impression of time...or should I say, cosmological time is created by time dilation as this collapse is observed by complex, inversely mapped observers at a cosmologically remote location on the other side of singularity.

To me the engineering problems of a closed GR universe, linked to the Planck Realm by the quality we call "mass" and measurable event horizons are solvable. Under the assumption of a quasi-static, geometric universe where some motion, if only momentum exists, I have aggressively advanced higher dimensionality and the complexity of life as logical cosmological solutions on this web site.

Thanks for sharing those excellent ideas with me!...and I have a class in 5 minutes!

Best Wishes,

Sam Cox