I USED SIMPLE RULES TO MAKE DETERMINISTIC FINITE AUTOMATAS THAT RESONATE WITH OUR (AS OF 2025) MOST ACCEPTED MODELS OF PHYSICS
There are 5 major steps in making the DFAs. (& while we can't say for sure what the minimally interesting ways to do this are, we can say that they're probably the basic datas & operations found in computer science, such as trees & edges & binary strings & substrings & concatenations.)
(1) Take the minimally interesting set of characters. Take the set X of all binary strings (so just 0s & 1s) of length 6 (why? to be explained later).
(2) Use the minimally interesting way to make edges. To generate a hierarchical tree, for each string y in X, draw an edge between y & the string z in X which is equal to the concatenation of the indices 234 + 345 of y. & to generate nontree edges of type A, do the same but for the indices 456 + 123.
Why do things this way? Because, retroactively, it's all about pairs & binaries & balances & symmetries, so you take halves/trigrams & combine them in the different ways that thematically follow. You have 123 + 456, 456 + 123, 234 + 345, & 345 + 234. The 1st is an identity operation. The 2nd creates type A nontree edges. The 3rd creates a hierarchical tree, (& which is like the identity operation, & which suggests partial identity). The 4th creates type B nontree edges. The 1st is unused, & the 4th is redundant because you can just do the 2nd (& which compresses the 4th in the 8 digits DFA). So only the 2nd & the 3rd are really used.
(3) Pair strings (by symmetry or by complementarity where there's no symmetry) to minimize repetition in parsing, & to maximize dynamism.
(4) Order by 000000 111111 010101 101010 (because there's nothing & which is like 0, then 0 & 1, then 00 & 11 & 01 & 10, & the rest follows). & then, where possible, order pairs by decreasing energy & or linecount, (excepting "c1234" & "e1234", because "a" & "d", & "c" & "e" increase).
(5) Parse by pairs or singletons, then by depth, then by breadth, & then parse by following type A nontree edges whenever & for however long you like. (& strings are notated on the lefthand, & their nontree bidirectional edges are notated on the righthand. "< >" means that both strings' nontree bidirectional edges lead to the other string in the pair. "self" means that a string's nontree bidirectional edge leads back to itself.)
HOW TO ASSIGN MEANING TO THE DFAs
There are two major variations of the DFA. & there are two major classes of models of physics that resonate with these major variations. One in which there are blackholes & whiteholes, & another in which there are only blackholes. The first resonates with the first. & the second, second.
1) first variation, probably not the right one, but a good starting point, (& is inflation & blackhole & whitehole & entropy)
"a" represents the creation & then? being of purely empty space & which can either be instantaneous or last forever or something in between.
"b" & "b1234" represent inflation. "b" represents something like a surge of energy which is detectable by the single line being pushed & orbiting against the uppermost & then the lowermost of the observable universe (& the observer following as a first person point of view). "b1" represents something like a surge of inflationary energy cleaving in half & then pushing the orbiting cloven reheat? matter towards the uppermost & lowermost of the space simultaneously. "b1" loses in "b2" a lone line due to inflation & retains much? of the energeticness. "b2" splits the two remaining lines in "b3" due to a still energetic inflation overcoming gravity. "b3" loses in "b4" the furthest line due to a much slower & weaker inflation. & "b4" can either be instantaneous or last forever or something in between. So, altogether, it shows inflationary energy splitting orbiting matter apart until there's only a single line with some but not much energy. (& other ordinary hexagrams don't imply inflation because they don't have the combination of a relatively empty space in the middle & matter being consistently inflated orbiting against the limits of the space.) (& it seems appropriate here to point this out — that all pairs, with the exception of creative pairs, seem to represent at least one orbit in their parsing & ordering.)
The last or ending pairs lead back to "b" or "b1234" or "c" or "c12/34", so all ends lead back to the beginning. & "j4" leads to "b", so the last matter in the whole cycle, & just a single line, & low in energy, because it changes positions minimally within the pair, becomes in "b" the first matter of a new cycle, & just a single line, & highly energetic. So, altogether, it seems that the end of each cycle or subcycle becomes the beginning of the next cycle or subcycle. & this is like the Bubble Universe hypothesis. (& similarly, all first or beginning pairs lead back to "f" & "f1234" & "e" & "e12/34".) (& "c1" & "c4" are special in this context due to necessary pairings with "e1" & "e4". & in this variation, "c1234" is swapped in order but parsed normally, whereas "e1234" isn't swapped in order but parsed in reverse, & keep that in mind.)
& an interesting point is that you can go from "b" or "b123" or "c2/3" to the ends of other cycles or subcycles, & then continue in a normal way, implying that matter is created (reheating) or present during inflation. (& you can do similar things for "f" & "f234" & "e2/3".)
Yet another interesting point is that, while the latter middles of the enclosing tertiaries of "g" ("h3" & "j3") can basically float forwards & inertially forever, none of the tertiaries of "b" ("b1234") & "f" ("f1234") can, implying that they're either inflating too rapidly & energetically ("b1234") or that they're just too energetic ("f1234") to allow inertia. (& the middles of the tertiaries of "c" & "e" represent, respectively, the spaghettification of matter inside a blackhole, & the quick expulsion of matter through a whitehole.) (& as an aside, "i3" is interesting because it doesn't float forwards inertially by going to itself & without alternation, but actually goes to "i", it's secondary, & in this way, both orbits & moves up & down in one move, & subcycles. & it's suitable, because there's not too much matter & energy like in "h1234" or too little like in "j1234".)
Interlude. There are 4 creative pairs. All other pairs aren't creative. Only these 4 are. They're singleton complementaries & indicate creation of matter from different contexts of emptiness separated by time but not by context. — (w) "a" which represents universal creation of space from nothing & "d" which represents universal? creation of matter from the blackhole singularity (& which doesn't exist in this variation, & is just a pointless point ahead of the blackhole cauchy horizon). (x) "c" & "e" which represent inflationary & pocket creation of space & matter. (y) "c1" & "e1" which represent relative creation at the event horizon. (z) "c4" & "e4" which represent relative creation at the cauchy horizon.
"c" represents the moment before creation. "c1234" represent a blackhole. "c1" represents the eternal infall (necessitating time dilation, & some other aspects of special relativity, & some other aspects of general relativity) & the inescapability of the event horizon (necessitating light speed limits, & some other aspects of special relativity, & some other aspects of general relativity). "c2/3" represents the spaghettification & tidal forcing of matter inside the blackhole, & because "c2/3" leads to & from "h4", it also represents the possibility of an infinitely large blackhole, & blackholes or whiteholes inside blackholes, & the possibility of whole universes existing inside a blackhole, & also the possibility of matter or the observer to pass into a blackhole. "c4" represents the cauchy horizon, which is formed by the collapse of matter in "e", or leads to the creation of the matter in "e", & not throughout the whole of space, but in a pocket.
"e" either follows "d", in which case it represents the universe expanding slightly after the universal? creation of matter from the blackhole singularity, or it follows "c4" in which case it represents the pocket creation of matter. "e1234" represent a whitehole, but in order for it to be a whitehole, it must be parsed from bottom to top, in which case, notice how only "c1234" & "e1234" begin from hexagrams with empty borders, & which helps to distinguish them from every other tertiary set in yet another way. "e1" represents the eternal infall from the inside & the inability to enter the whitehole from outside of the event horizon (necessitating physics we have no name for, yet). "e2/3" represents the quick expulsion of the matter inside the whitehole, & because "e2/3" leads to & from "j1", it also represents the possibility of an infinitely large whitehole, & whiteholes or blackholes inside whiteholes, & the possibility of whole universes existing inside a whitehole, & also the possibility of matter or the observer to pass into or be caught up by a whitehole. "e4" represents the cauchy horizon (or singularity), which is formed somehow by "c", & which somehow can lead to "c", suggesting the possibility of nascent whiteholes to simply disappear after creation, (& they're hypothesized to be able to do that).
(& this is maybe obvious, but only blackholes & whiteholes experience relative creation, & then normal space, & then relative creation again.)
"f" & "f1234" represent the moments after the pocket? creation of matter. They first split into a highly energetic large mass of lines & a single line, then lose the furthest line, then split again into a smaller but still large mass of lines & a single line, then lose that single line. This altogether represents the struggle between gravity & the accelerating expansion & high energies of the early matterfilled universe. & "g" represents the dark ages, where everything is dispersed & nothing is coalesced. & "h" represents the beginning of the formation of larger masses (ex. stars), & "h1" represents the completion of major? formations. (Notably, you can go straight from "f3" to "h" & skip just the dark ages, or from "f" to "h1" & skip the dark ages & the beginning of formations.) "h1234" & "i" & "j" & their tertiaries represent entropy but with things outside the observable universe coming in & out of view. & going from "f" to "h" to "i" to "j" — the acceleration of the expansion of the universe strengthens between "f" & "f1234" & "h" & "h1234" where the core is split into two, between "h" & "" & "i" & "" where the lone line in the core disappears, & between "i" & "" & "j" & "" rapidly where the core splits & the other line disappears at the same time, combining the previous two steps. (& similarly thematically, "h4" translates & polarizes it's lines in "i", & "i4" splits it's lines in "j". & "f4" splits evenly in "g".)
(& this is also maybe obvious, but it makes sense energetically for the secondaries & tertiaries of "g" to, generally, after receiving donor lines & from outside? the observable universe, orbit once, then orbit either instantaneously or forever or something in between, then float forwards inertially also either instantaneously or forever or something in between, then orbit once again, & all the while losing lines either in the core or along the periphery.)
& you can just jump around this DFA. & that might be what's behind quantum mechanics. (& jumping around this DFA can also represent other contexts coming out of nowhere to replace the current context. So you could be experiencing "j4" but suddenly there's "c1", & you're parsing normally & archetypally from thereon, & it's not quantum anything, but just a blackhole appearing from outside of the observed or the observable universe.) (& time & space & matter & the planck length might be a thing because of this DFA. & the standard model might be just decorative.)
2) second variation, probably the right one, & overwrites the first in some ways, (& is inflation & blackhole & entropy)
"d" represents the big bang singularity, which creates alot of (but not all?) matter. So this variation has inflation as a pocketed expansion of matterfilled space. (& "b" & "b1234" make alot more sense in this context.)
"c" represents the moment before the creation of matter in a pocket. "e" is the moment of the creation of matter in a pocket. "c1" represents that matter collapsing into an event horizon (& then cauchy horizon & then singularity) & the eternal infall. "e1" represents matter that is visible immediately after crossing the event horizon & the inability of objects inside a blackhole to escape through the event horizon. "c2/e2" & "c3/e3" represent the tidal forcing of matter. "c4" is the cauchy horizon, & can go to & from "e", & which represents the indeterminateness of the cauchy horizon, (& the formation of blackholes through the collapse of relatively immobile matter). "e4" is the blackhole singularity (& by visual inspection), & can go to & from "c", & which represents the possibility of a naked singularity. (& these pairs are explicit & not implicit.) (& notably, "c1" & "e1" are lowish in energy which is appropriate for the event horizon, & "c2/e2" & "c3/e3" increase in energy which is appropriate for the tidal forcing of matter, & "c4" & "e4" are highish in energy which is appropriate for the cauchy horizon & singularity. & this increase in energy helps to emphasize the creativity of the tertiaries of "c" & "e".)
Tidal forcing in blackholes happens near the singularity. Some blackholes are large enough that tidal forcing only happens well past the event horizon. Others are small enough that tidal forcing happens at the event horizon. So to go from "j1" to "c2/e2" then "c3/e3" makes sense, because most blackholes are larger near the end of time. & to go from "h4" to "c3/e3" makes sense because most blackholes are smaller near the beginning.
& the main reasons that I think this is the right variation is because the growth & spatial orthogonality of blackhole interiors relative to the external universe is best captured by pairing things that could be vertical in the necessarily horizontal & other ways seen in "c2/e2" & "c3/e3", & because the singularity is best represented in 6 digits by 2 lines in the middle being balancedly crushed into the middle.
& you can experience something like a whitehole by parsing backwards from "e4" to "c1". (& you can jump around & then parse in whatever? order.)
WHY NOT ODDS? WHY 6 DIGITS & NOT 4 OR 8 OR HIGHER? & FRACTALIZATION
Odd length binary strings cannot be turned into this kind of DFA by taking halves, but they can be mapped in categorylike ways onto binary strings of any length deriving from the pair 0 & 1. They show endless creation with lowish? entropy.
6 is sufficiently interesting. 4 is too compressed & has no blackhole or whitehole. 8 & highers have fractal blackholes, whiteholes, orbits, inertias, etc.
4 to 6 to 8 & highers' DFAs are also mappable onto each other in categorylike ways, & nontree edges of type A in lower DFAs compress the nontree edges of type B in higher DFAs, & you can generate more edges between DFAs by playing with their substrings in every possible way that maps these DFAs back unto each other & maybe themselves. What you get doing the 1st thing is a fractal of DFAs. What you get doing the 2nd thing after doing the 1st is a less interesting fractal of DFAs. What you get doing the 3rd after that is a mess. (& Grothendieck's topoi resonates alot with the 1st.)
CONSILIENCE
This combines computer science (DFAs, binaries, strings, & trees), math (graphs, combinatorics, fractals, category theory, topology as in our physics is a topological distortion on this, number theory, linear algebra, universal algebra, group theory, order theory, measure theory, analysis as in you can do this with continuous & not just discrete objects & continuously?, probability & ergodic theory as in this is the archetype & cantus firmus & all observers counterpoint this, set theory, proof theory, recursion theory, information theory, approximation theory, & topoi), (& also, you can perform this & similar operations on just about any math object), music, physics, language, philosophy (metaphysics, aesthetics, & ethics). (& the matter of the social sciences & biology might be the way they are because the values that maybe God chose in maybe making this DFA are exhibited in them, as in, what God values in the one biggest? thing might be what God values in all biggish? things. & which are, in this case, pairs, binaries, complements, symmetries, combinatorics, spectrums, hierarchies, interconnectivities, fractals, recursions, cycles, times, changes, nonlinearities, parts, wholes, discretes, continuities, & sharp rises & then gradual declines in physical & mental & social energies throughout lives, creative liminal or egglike or womblike environments, observers, observations, dependencies, necessities, uniqueness, throughcomposition, language, etc.) & it's like a set of Chinese characters, & it captures like a Chinese watercolor the saliences of our most accepted physics models. & you can map the strings onto chords in any scale, & then play them archetypally (ex. "a" "b" "b1234" "c" "e" ...), & or by following type A nontree edges, & or by parsing in reverse, & or by jumping around, etc.