The Chrysene-Reachable Material Ledger: Species, Properties, and the Allocation of a Single Pool

Abstract

The cycle paper took its materials as given and derived none of them. Its ledger compiled what was absent by looking at the processes it used, and the fourth column so obtained held the condition on which its own principal result turned: a source of impermeant internal particles, without which a lineage buds a few dozen times and runs down. This paper compiles the same column by looking at the species instead.

Ten species are set against eight properties, each marked as attested by a figure of the filing, stated by the author, or yet to be discovered; the figure inventory is settled here once, so that later papers cite this section and not the filing. Seven transformations are given as partial maps, and what each preserves is computed. Valence once spent, two-sidedness once lost at the azo conversion, and the chrysene skeleton once converted are restored by no composite. Polarity, by contrast, is not determined by a species' provenance at all — templating carries an apolar unit to a polar nucleotide and excision carries it to a zwitterion — which is why it must be tabulated, and why a corpus tracking skeleton and substitution alone could not have seen what follows.

The transformations generate a digraph whose sources are the species produced by nothing and whose sinks are the species consumed by nothing. Retention is not production: the anchor is retained at templating and the initiator at polymerisation because each was present before, and modelling either as an output empties the source set and hides the input requirement entirely. The sources are the three chrysene species together with a heteroatom feedstock — four species the architecture consumes and does not make. The sinks are six, and every one of them partitions into the bilayer except the residue, which is zwitterionic and stays in the lumen.

That single exception carries the paper. The residue is the architecture's only impermeant sink and therefore its only osmolyte, and the requirement is of the same order as the membrane's material cost — twice it at a bud fraction of a tenth, a third of it at a fiftieth. The condition the cycle paper could not meet is met by a process the corpus already had: that paper's conservation argument was correct over the processes within its scope, and the residue lay outside it. The three demands on the pool are additive, no unit serving two; the allocation is dominated by the osmolyte, two thirds of the material going to particles that set a volume and a fortieth to the encoding; and the material budget argues for budding independently of the two arguments already on record. The result rests on residues remaining free in the lumen, which one observation would settle and which peptide formation would deny.