Plato's notion of Cosmos from Chaos, in which Cosmos is imagined as timeless nothingness, but with simple un-actualized — Gnomon
The Timaeus sort of gets it. The basic idea is that rather imagining the Cosmos as either a sudden creation event or as an eternal existence, it arises as an evolving structure where form is being imposed on a chaos. It all starts from a confused everythingness - so confused in its expression that it amounts to a nothing. It lacks any orderly structure. And then that structure starts to appear.
With Plato, the structure is already final and familiar as it comes from some transcendent realm of the good and the ideal. The sun, the stars, the planets. The cats, the dogs, the mice. These ideas exist as the eternal shapes of things, and these shapes are like cookie cutters to be impressed on matter as like some universal dough.
But my structuralism is more like Anaximander’s Apeiron and Heraclitus's Unity of opposites. The structure is logical and evolutionary. Counterfactual and dialectical. The symmetry-breaking of a dichotomy. And so everything starts by identifying that first act of dichotomisation that could start to organise a world.
Anaximander's Apeiron sounds like a primal stuff, but it was more like the most primal state of unformed and unbounded potentiality. And the first symmetry-breaking that started to organise it into a definite state of somethingness was this raw possibility starting to separate in two counterfactual directions. Just as a random fluctuation, some part of the Apeiron could start to grow a little warmer. But with counterfactual logic, that meant it had to leave some adjacent part of the Apeiron a little cooler.
You get two for the price of one with this kind of logical symmetry-breaking. Both the something and its other thing. What starts to emerge in co-arising fashion is the larger significant thing of a widening state of contrast. The heat can keep getting hotter, and the cool keep getting cooler. And before long, this is triggering other symmetry-breaking change.
The cool naturally is damper. And the hot is naturally dryer. So now we have also the appearance of wetness as the increasing absence of the dry, and the dry as the increasing absence of the wet. With everything becoming increasingly divided like this, you get the four elements emerging. The warming and drying zone turns into the still a little bit cool and damp thing that is the air. Shedding its lingering cool and damp in this fashion, it thus gets really hot and really dry so turns into fire. The lightest element which therefore rises even beyond the light air to fill the heavens with its flames.
In counterfactual fashion, the cold and the damp goes in its shared counter-direction to congeal into first water and then earth. Being heavy – subject to gravity rather than levity – it all falls towards a common centre where it composes the Earth with its land and ocean.
So this is the metaphysics. A hierarchy of symmetry breaking. One kind of change builds on the others. Each change is a dichotomous splitting. And then as all these changes pile up on each other, we start to get a complexly developed world. The Earth as a clod of dirt and with its puddles of water. The sun and stars as fiery points of heat and light that have risen up as far as they can go. Being divided allows also for a mixing of the elements while also preventing their collapse back into the undifferentiated potential of the Apeiron that begat them.
And you should be able to see how the Big Bang has the same symmetry-breaking metaphysics.
In the beginning there was just some generalised notion of a potential. Logically there has to be at least the possibility of such a state of raw possibility because – well here we are. And then it was broken by being divided against itself.
Your favourite dichotomy is information~entropy. Order versus chaos. Form vs matter. Rules vs actions. So if you imagine that as the broken symmetry that had to develop out of some initial symmetry, how does that story go? If information is a difference that makes a difference, and entropy is a difference that doesn't, then what is the step that comes before that distinction arises? What is it for there to be just an Apeiron of difference where differences neither clearly yet count as making a difference, but also not clearly failing to count as a difference.
If you can account for that state – as perhaps a state of radical logical vagueness, Peirce's definition of that to which the PNC fails to apply – then you are starting to think about reality coming into existence not out of nothing, nor even out of an everythingness exactly, but something even less than that. The less than nothing which is a vagueness, an Apeiron, a state that has neither matter nor form as yet as that is what still needs to co-arise as a primal symmetry breaking.
So getting back to the Big Bang, I pointed out to how it is a tale of dichotomous symmetry breakings. Somehow relativity gives us the dynamical container – the spacetime ready to grow. And quantum theory gives us our dynamical content – the energy density or momentum uncertainty that will grow the container, but in doing so, begin to cool itself in reciprocal fashion.
Each direction is set up so that the symmetry breaking is not all done in a split second. It is a symmetry breaking that takes until the end of time to complete itself. The doubling~halving can just roll on forever as the Big Bang grows larger and cools down more. We are now down to just 2.7 degrees above absolute zero. But it will take about eight billion years to chop that number in half to 1.35 degrees K.
So the Universe is in some ways almost completely symmetry broken. A really long way from its starting point of 10^32 Kelvin. And yet also still relentless growing and cooling. It can't arrive at its Heat Death until it gets right down to 10^-30 Kelvin, presuming we can believe that dark energy sets this final limit on cosmic growing and cooling.
Anaximander imagined the world starting out of the self-organising separation of the warm and the cool. That rather presumed the existence of space and time as the stage where this rather material event could have happened. But still, it was the right logical idea. Symmetry-breaking as a developmental process feeding on itself. A division that continues until it reaches its own end. A division that also grows complexity in the process as new divisions can arise out of the old divisions and add all the material variety that we see. Starting with the four elements.
The Big Bang is based on cGh physics. A triad of constants. Or the set of basic relations that defines the basic symmetry being broken – the way G stands opposed to h as the measures of what is the cooling relativistic container, and what is its hot quantum contents. And c is the measure of the rate at which everything is being moved apart while also remaining in causal connection. The rate at which this mixture of dimensionality and energy density is thermalising.
The Big Bang is also the tale of all the topological phase transitions that rapidly complexify the initial symmetry breaking. First you get radiation. That cools and spreads enough to condense into a fine dust of gravitating matter. The dust clumps into balls that under pressure catches fire – becomes stars powered by fusion. That results in the production of heavy elements which get released in supernova collapses. Clumping of heavy elements makes planets. Eventually it is all going to get swept into blackholes and radiated away as the coldest and longest wavelength radiation possible.
So the same metaphysical picture. A symmetry breaking of the kind that can feed off itself and so persist until its time is at an end. A symmetry breaking that also is self-complexifying for a long time, but then eventually re-simplifies to its simplest end state. Anaximander's cosmology also reasoned that what arose would also collapse back into the great vagueness whence it came.
Another Greek metaphysical dichotomy or unity of opposites. Heraclitus's harmony and strife. Aristotle's growth and corruption. Order can grow, but then it can also decay. Information can arise out of entropy, but it can also return to entropy. Signal looms out of the noise, and can then get lost back in the noise again.
It is all about a way of seeing reality as a developmental process. The symmetry breaking that creates some seed of distinction. A primal contrast that is already growing as it is logically a reaction against itself. To go in one direction is not to be going in the other direction. And now there the thing of that other direction going in its own counter-direction. This logical starting point can keep going off in its two opposed directions forever, and even start complexifying to become full of such dichotomous symmetry-breakings. But it also can eventually exhaust itself. The Big Bang can become so spaced out and cooled down that it just runs out of puff.
So the symmetry-breaking that I have in mind is the dichotomisation that takes forever to reach its own natural end. The contrast that both grows and dilutes. It grows as it is driving itself apart in opposed directions. But that drive is also being sapped at a matching rate.
The result is a powerlaw curve. A doubling~halving trajectory that begins with a hot bang and ends with the coldest and emptiest whimper.