I USED SIMPLE RULES TO MAKE A DETERMINISTIC FINITE AUTOMATA THAT RESONATES PHENOMENOLOGICALLY WITH MAINSTREAM PHYSICS MODELS. & I THINK IT SHOWS THE BEAUTY OF THE WAY THINGS COME TOGETHER IN THESE MODELS.

(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 0, then 0 & 1, then 00 & 11 & 01 & 10), & the rest follows.

(5) Parse by pairs, 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 each string in the pair's nontree bidirectional edge leads back to itself.)

HOW TO ASSIGN MEANING

"a" represents the creation & then being? of empty space. "d" represents the universal creation & then being? of matter, (the initial singularity).

"b" represents a surge of reheatless inflationary energy spreading thin the matter created by the initial singularity, & which is only detectable by the single line being pushed & orbiting against the lowermost & then uppermost of the observed universe. "b1" represents the cessation of inflation & the beginning of reheating. "b234" represent reheating.

(& notably, almost all noncreative ending pairs lead back to "b" or "b1234", & this is like the Bubble Universe hypothesis. & inversely, almost all noncreative beginning pairs lead to "f" & "f1234".) (& notably, you can go from "b" or "b234" to the ends of other cycles, & then go on normally, skipping primordial blackholes. & inversely, ... "f" & "f234".) (& notably, while the latter middles of the enclosing tertiaries of "g", "h3" & "j3", can float forwards & inertially forever, none of the tertiaries of "b" & "f" can, implying they're too energetic to allow inertia.) (& it seems appropriate here to point this out — that all noncreative pairs represent at least one orbit? in their parsing.)

There are 4 creative pairs. They're complementaries & represent creations of matter from emptiness. — (1) "a" & "d" which ... (2) "c" & "e" which represent pocket creation of reheat? matter. (3) "c1" & "e1" which represent pocket relative creation at the event horizon. (4) "c4" & "e4" which represent pocket relative creation at the cauchy horizon. — (& following type A nontree edges, there's kinda also "c" & "e4", & "c4" & "e".)

"c" represents the moment before the pocket creation of reheat? matter. "e" represents the pocket creation of reheat? matter. "c1" represents that matter collapsing into an event horizon (& then cauchy horizon & then singularity) & the eternal infall (time dilation), necessitating special & general relativity. "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, necessitating light speed limits, necessitating special relativity. "c2/e2" & "c3/e3" represent the tidal forcing of matter, (& going to & from "h4" or "j1", they also represent the possibility of infinitely large blackholes, & of blackholes inside blackholes, & of observers or of matter to pass into postprimordium blackholes without experiencing eternal infall, etc.) "c4" represents the cauchy horizon, & can go to & from "e4", & which represents the indeterminateness of the cauchy horizon, & the possibility of the collapse of matter into a cauchy horizon without an event horizon. "e4" represents the blackhole singularity, & can go to & from "c", & which represents the possibility of an un/reheated? naked singularity.

(& 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".) (& notably, the 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".) (& notably, you can get something like a whitehole by parsing backwards from "e4" to "c1".) (& this is maybe obvious, but only blackholes & whiteholes experience relative? creation, then tidal forcing, then relative? creation again.)

"f" & "f1234" represent the moments after the relative? 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 & the 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. & "fhij" & their tertiaries also represent the increasing acceleration of the expansion of the universe spreading thin the matter inside, but with things outside of the observed universe coming in (& coalescing because it's cool enough) & out of view.

(& this is also maybe obvious, but it makes sense energetically for the tertiaries of "g" to, generally, after receiving donor lines & from outside? the observed 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.)

(& jumping around this DFA represents other contexts replacing the current context. So you could be experiencing "j4" but then there's "c1", & it's either a blackhole coming from outside of the observed universe or it's quantum mechanics.)

WHY NOT ODDS? WHY 6 DIGITS & NOT 4 OR 8 OR HIGHER? & FRACTALIZATION (& MUSIC) (& OTHER NOTABLE MATH OBJECTS)

Odd length binary string sets can't be turned into this kind of DFA by taking halves, but they can be mapped in categorylike ways onto sets of binary strings of any length & deriving from the pair 0 & 1, & to show creation without prolonged disintegration.

6 is sufficiently interesting. 4 is too compressed & has no blackhole or whitehole. 8 & highers are hierarchically repetitive & have fractal? blackholes.

4 to 6 to 8 & highers' DFAs are also mappable onto each other in categorylike & fractallike ways, (& Grothendieck's topoi resonates alot with this). (& you can map the strings onto chords in any scale, & then play them archetypally.) (& you can do all this with matrices, tensors, & other objects.)