Quad View #2
INFLATIONARY COSMOS ON ROUTE TO CHAOS
Much speculation is found in this particular Quad where intuition reigns employing the route to chaos (Chaos theory and the orbit diagram) as possible cause and effective descriptor of our universe transitioning from Quantum root to Cosmic expanse and unfolding into the Galactic existence we witness today.
Overview
Unsolved Problem #1 - Cosmological Inflation (Exponential Growth)
When we look upon the macro universe (read Big Release) over a large enough sample it is being and doing the same everywhere and if a galaxy somehow came over the cosmic horizon of 46 billion light years tomorrow, appeared suddenly from outside our observable portion of this vast spatial expanse, it would be just like the galaxies we see today. But how is that possible, when would this previously unobservable galaxy have communicated with the rest of our observable universe to know what it should look like when nothing is supposed to travel faster than the speed of light? Cosmic Inflation theory originally proposed by Alan Guth in 1979 was realized as a potential answer to this Big Bang horizon problem suggesting the cosmos went through some kind of incredibly rapid exponential expansion at birth allowing it to wind up looking the same in all locations (homogenous) and in every direction (isotropic) today, meaning our observable portion of this universe and any unobservable portions beyond it must have come from the same place. Moreover, the exponential nature of this inflationary growth or metric expansion of space answers the flatness problem of why triangles 19 billion light years away add up to 180 degrees without variance while parallel lines always remain parallel, implying this universal order that all existence adheres to must have been laid down at the very beginning when the substance of everything we observe was so much closer together - at a time when the infinitesimal seed exponentially sprouted. How exactly our universe transitioned from its Quantum root to this uniform Cosmic expanse remains a major unsolved problem in physics.
Unsolved Problem #2 - Matter-Antimatter Asymmetry
What is the mechanism responsible for Baryogenesis? In other words, why is there more matter than antimatter in the universe? No one knows the exact reason for an excess of quarks being left over to make protons and neutrons (baryons) which in turn formed atoms by coupling with an overabundance of electrons, but we do know these building blocks are the foundation upon which our physical existence depends - elementary stuff flowing out of an intricate primordial transition deep inside reality’s first second.
NOTE: quarks and electrons are fundamental particles, together called Fermions with neutrinos included. Electrons and neutrinos are in a grouping called Leptons which is a six-pack of fermions separate from the other six-pack comprised of the quarks. These twelve fermionic members are cased in three generations of four with the first generation including the all-important up and down quarks along with the electron - 3 underlying particles responsible for the material existence of you, me, and everything we see.
A penny on day one doubling every day:
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024…
…looks like a Period Doubling Cascade

Inflationary Hypothesis
COSMIC INFLATION & MATTER CREATION in the ORBIT DIAGRAM’S ROUTE to CHAOS
“ACT OF INSIGHT” BELOW TELLS STORY OF THIS UNIQUE IMAGE
Exponential Bifurcation
The way this infographic turned out it feels like something deep-rooted growing towards the surface chasing the light of day, which on the scale of our universe would be a bursting forth of exponential growth to become a cosmic reality. Galaxies in the image are a bit premature here as they would be preceded by a dark density attraction or current of cosmic structure formation that underpins the long-term behavior of our physical system.
2.5029 { FEIGENBAUM CONSTANTS } 4.6692
STRANGE ATTRACTORS DETERMINE THE LONG-TERM BEHAVIOR OF A SYSTEM - JUST LIKE GALAXIES IN OURS DO
Baryogenesis
A visualization for matter creation that may work for you is to think of a penny doubling 1, 2, 4, 8, 16 and so on up to an unimaginable sum of dollar bills. Octillions of them that you can picture growing exponentially from the inside-out like the layers in the background image are adding on - the next spherical weave of dollars wrapping the previous like an endless set of nesting dolls. This continues at an indescribable pace on the way to astronomical proportions when all of a sudden every dollar bill simultaneously turns into 100 pennies.
IMAGINE COUNTLESS PARTICLES EMERGING EVERYWHERE AT ONCE WITH THE POSSIBILITY OF BECOMING US
1¢ on day one doubling for 100 days is $6.34 octillion!
Similar to a metric expansion of space with a scale factor increase (C) close to 10^29
y=Cx → y=kx
3D Space*Time → Spacetime 4D
“C” REPRESENTS EXPONENTIAL BIFURCATION BEFORE ACCUMULATION APPLIES THE PROPORTIONALITY CONSTANT (k)
NOTE: Space and Time are inseparable in today’s universe because they are multiplicatively connected to Capacity (x). Possibility (y) should be seen as the product of Capacity-Space with Time the flow of change.
CAPACITY QUOTIENT
Probability for Critical Potential
ACT OF INSIGHT?
The infographic in the Inflationary Hypothesis section above (the one described as growing out of the ground) is a reinterpretation of an intriguing diagram that stems from a characteristic hump-shaped curve found to exhibit a remarkable pattern of exponential bifurcation - this branching behavior you see that occurs when a growth parameter in the system gets finely tuned. I happened upon this naturally occurring phenomenon in early 2020 through a course delivered by American Professor of Applied Mathematics, Steven Strogatz on the thrilling subject of Chaos Theory.* Began the lecture series on New Year’s Day I remember distinctly and the resulting hypothesis you are about to see has become one of the most intriguing parts of Universal Flow Theory with the idea looking awfully relevant and fitting in what it describes, so stunned was I by this flash of realization it would be a dream find!
Taught via Australian scientist Robert May’s research and findings in his study of the logistic map as it related to insect population dynamics described by a hump-shaped curve (similar to the one displayed in the section above), May discovered he could tweak the growth rate driving year-to-year fluctuations in the population causing the system to manifest this amazing bifurcation pattern. Couldn’t believe I had never really seen this before, Chaos theory I mean, and was riveted to Strogatz’s explanation of the route to chaos in which he illustrated and described “marvelously rich dynamics depending on the intrinsic growth rate of the insects. The population could go extinct if too low, it could rise and then achieve a stable equilibrium level, or show boom and bust cycles alternating every two years, or 4, or 8, or 16, this incredible period doubling cascade as we increased the growth rate. We saw the system going 16, 32, and so on up to periods of infinite length essentially all accumulating at a place called the accumulation point - at the onset of chaos.”
I never knew chaos had so much to offer and learning about this amazing phenomenon presented in the orbit diagram, it dawned on me there also exists a hump-shaped curve in the potential well/false vacuum diagram applied below - the one where the ball goes over the potential hill as it heads for global stability. I figured, if this onset of chaos can be extracted from a population of insects, why wouldn’t it be exhibited in a population of potential universes over a similar hump-shaped curve if it could in fact be applied in this case? I have learned to trust my intuition with this theory and felt like it could, and in this act of insight it wasn’t hard to imagine a spot around that potential hill where the same kind of exponential branching behavior might be displayed - a location on the dial so to speak where the growth parameter hits a critical value like May discovered. It was explained by Steven Strogatz that beyond the stage where these population dynamics go chaotic, if the growth rate is increased still further, the chaos would be interrupted unexpectedly by new periodicity - periodic windows as they were described that appeared on the other side of the accumulation point. The lightbulb switched on and I suddenly perceived the whole thing as an Inflationary Cosmos on Route to Chaos.
Getting over the hump on a Potential Hill
Inflationary hypothesis at the core of a critical growth curve
Just like charges, can two attractive forces repel?
Strong force separates → Quantum gravity goes cosmic?
What if critical potential is reached somewhere around the hill as capacity surmounts it in what we can envision as the ability to become being born over this hump-shaped growth curve - a spot on the dial where our universe’s Capacity Quotient is decided in relation to what has long been described by cosmologists and physicists (Friedmann equations) as critical density or Omega = 1. Moreover, considering May’s fine tunings were into something like the 4th decimal point one might imagine the same applying to a multiversal population, except there could be many more decimal places to consider - a refinement of values suggesting a zone around critical potential where life and consciousness can become an actuality just like our own universe so evidently proves.
In this tweaking of the growth rate, initial conditions for the cosmos we call home might not have to be the proverbial pencil balancing on its point but the parameter value would have to be tight to critical potential in order for us to witness a reality we know operates so close to critical density. We find ourselves at the core of UFT’s Density is Destiny axiom right now where one can get to the bottom of the universe because as the dial is turned away from what we are imagining here as some kind of quantum criticality, getting too far out of frequency with critical density I mean, our own reality could never have become the homogenous, isotropic, geometrically flat, and long-lasting entity it shows itself to be - one that gives us a chance to figure ourselves out. Given the ladder of consciousness human beings have been climbing now for millions of years and seeing the rungs above our current standing that have yet to be reached, surely we are the result of a rich quantum potential described. In other words, Omega in our reality must be so incredibly close to 1 that we can consider it sufficiently so because when you really stop and think about it, the only thing that isn’t operating anywhere near its potential right now in the entire known universe is the human race itself - a tragic reality that will become obvious in our relation to UFT’s fundamental proportionality.
OUR UNIVERSE AT ACCUMULATION POINT IS OPERATING AS POSSIBILITY (y) = SPACETIME (k) × CAPACITY (x)
I would argue our cosmos is far too intelligent and integral for there not to be a pattern connecting us all and interestingly enough, self-similarity is on display in the orbit diagram’s branching as evidenced in the Feigenbaum constants, which in this case could betray our universe as being attached to an infinite fractal cosmology. Meaning the pattern this proposal presents could quite conceivably be the blueprint for a hump-shaped bifurcation phenomenon witnessed wherever it occurs in nature as the universal pattern-setter in first occurrence. It would have to be, because this exponential burst from Quantum root to Cosmic expanse happened so early, somewhere between 10^-36 and 10^-33 seconds according to Big Bang theory, and the accumulation point described in the infographic above as Baryogenesis is a great descriptor as well. The place where the real bang of elementary particle creation can be visualized as our universe breaks out of an exponential branching through the Space*Time multiplication to Capacity producing a 2nd ground state - one we can stand on where the building blocks of our physical nature spew forth onto what can quite easily be visualized as the Cosmic side of the line.
In this novel inclusion of Chaos theory we must ask ourselves, what in reality could possibly be more chaotic than countless point particles emerging everywhere at once across primordial space? Copiously produced in the phase transition of exponential bifurcation breaking into matter creation, our universe emerges from the ground of its existence as an energetic megaflow of materiality frothing about in an expanding ocean of seething radiation.
A POSSIBILITY OVERFLOW OF CAPACITY CRASHING ON THE SHORES OF THE COSMOLOGICAL CONSTANT
The level of description this hypothesis carries is compelling and the feeling of fluidity generated in the idea of a possibility overflow carrying us through matter-antimatter annihilation to emerge in the chaos as an overabundance of elementary particle creation flowing towards the orderly future of a Galactic Attractor seems sensible. The elementary quarks and electrons that make our atoms and ultimately everything in the world around us have never left the Milky Way and the fact attractors are found to appear on the other side of the accumulation point - strange attractors that determine the long-term behavior of a system - an inflationary cosmos on route to chaos as proposed here might just be the answer. Because from Quantum root to Cosmic expanse this interpretation of our flowing existence looks fitting and if the picture being drawn is correct, not only does it build a bridge from Quantum Mechanics (QM) to General Relativity (GR), it looks to handle the problem of cosmological inflation and the mysterious imbalance of matter creation (matter-antimatter asymmetry) by giving them cause through a triangular connection to Chaos Theory (CT), but maybe that’s just my own unification dream.
Copyright © David J. McKnight 2020
* The Great Courses: Chaos - Professor Steven Strogatz, Cornell University
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