M1 · the time to structure
M2 · the rate of stable holds and carries · v*
The face against the engine's record
The plane — the caudal step originates at A
The structure — each line's first catch, signed against unsigned
One time axis in ticks; a gold mark where the line was first caught under signed access, a magenta mark under unsigned; an open mark at the right edge where a line was never caught within the run. The vertical rules are τ, the time to structure, under each access. The three pending lines are named.
The calibration — the rate against the send speed, and a uniform hold against the speed
Left: the rate of stable holds and carries (catches per tick) at the dialled holds, over the speed menu — 1/4 to 12, then 13 to 21 by ones — under signed (gold) and unsigned (magenta) access; v* is ringed. Right: the rate under signed access for a uniform hold from 1 to 12 against the speed menu, at a run of at most 256 ticks; the dialled cell is outlined where the holds are uniform.
The lines — his page, restated
The page's fifteen lines in the page's order, with the unit as written, the unit the geometry gives, the distance the line travels (the set distance where a prior carries it), the prior that holds it, the kind the house read, the prior line a negotiation waits on, and under the access the plane shows: the first catch (exact, with a decimal where √7 enters), the catches, the drops and the re-sends by the prior in this run.
The beings — the health of each seat
For each seat under each access: arrivals, catches and drops at the seat; sends from it, caught and missed (a prior's re-send counts as the tail's send); the health as an exact fraction; and whether it was self-referentially stable — exactly 1 — over the run. The priors are not measured.
The clarifications — the house's candidates, his to correct
- IC-C1 · the name. The Inner Circle, oxexp-inner-circle, /contrib/inner-circle — a working name from his own title; his to give.
- IC-C2 · the step. The page's units as step lengths from A, one step at speed 1 one tick; or the walk A → B → C → … of unit steps.
- IC-C3 · the placing. His word: the Morley geometry (IC-C15); his figure the second setting.
- IC-C4 · the catch rule. One hold per register; an arrival at a held slot dropped, no queue; the hold as the negotiation; the sends at the hold's end.
- IC-C5 · signed and unsigned access as two registers against one.
- IC-C6 · the mirror. A negotiation caught refreshes by sending the held line of the same pair reversed where the page has one; D and E send nothing.
- IC-C7 · the pending unit of C → D. His answer: √7, "−(square root of 7), not −7" — the page's setting carries it exactly; under Morley the route reads 2.100.
- IC-C8 · the origin's walk. A's five once, in order, one per hold, from a self-catch at 0; then only its mirrors — and, with a prior alive, the prior's send again.
- IC-C9 · health and stability. The fraction of a seat's catches and sends that were stable; stable as exactly 1; the colours for the eye only.
- IC-C10 · the time to structure and the rate. τ the first instant at which every lit line is caught once; R catches per tick; v* the first greatest R under signed access.
- IC-C11 · G to K. His word: the priors (IC-C15 to IC-C24), built.
- IC-C12 · "the speed". The transit speed along the step; or the pace of A's origination (here h_A); or both.
- IC-C13 · 36 ticks per second by K. A playback rate on this face now; what else the rate is to be on the record is his.
- IC-C14 · his document on the G to K stage. Reviewed in chat, not ingressed; whether its possibilities enter the design's §7 is his.
- IC-C15 · the geometry. His answer: "Follow Morley … the signed access retained … C to D is negative because a hold comes from A to C then returns 'back' toward A but on the angle to D." Built as the baseline.
- IC-C16 · the assignment of B and C. The picture's placement built — B toward E, C toward F; the swapped assignment kept on the record. His.
- IC-C17 · the origin's dropped line. Answered by the priors: with its prior alive, a dropped held line of A's (or of B's onward lines) is sent again to arrive at the head's release.
- IC-C18 · the priors' distance. Built as the farthest of A's routes in the geometry's unit (A → F: 5.016 under Morley, 5 on the page); the circumradius or a length he names are his alternatives.
- IC-C19 · the pairing. Built in the page's order: G to A → B, H to A → C, I to A → D, J to A → E, K to A → F; "K prior to A" the last, joined back to A.
- IC-C20 · the sixth sector. Built empty at 330° about A, the priors at 30°, 90°, 150°, 210°, 270°; which direction it faces, and what "the Computably Unknowable Limit to 'Light'" is on the record, his; the sketch's transcription his to correct.
- IC-C21 · the slip. Built: A's held lines by their priors travel the page's set distances, the Morley routes on the plane, the difference the hop's untimed slip; B's and C's lines keep the geometry's units.
- IC-C22 · the send at the catch. Built: a prior holds from the first instant, A's send by it arrives at the set distance, and a dropped line is sent again to arrive at the head's release — as his eighth text names it for B to C.
- IC-C23 · entanglement on the record. Whether a prior that releases at the catch is W1, the entanglement register, and whether the five priors are the "5 sub spacetime held agreements" of his fourteenth text. His.
- IC-C24 · the measures with the priors. His word: as they stand — a prior's own catch and send are not measured; its re-send counts as the tail's send. What "closes the observer referential system" is on the record, his.
- IC-C25 · the inner circle's collision. His word: G holds B's onward lines, so a dropped B to C is sent again at C's release. Built.
- IC-C26 · B's negotiations. G holds B's onward held lines (B → C, B → D, B → F) and not B's negotiations (B → A, B → E); at the eleven's unit baseline under signed access B → E is the line never caught (B → A too under unsigned). Whether G holds them too is his.
- IC-C27 · the order at one instant. When a prior's re-send and another line arrive at a release instant together, the page's order decides and A's lines go first; whether a prior's send takes precedence is his.
- IC-C28 · the turn of the plane. His ninth text read as a rigid turn about A under both geometries: F toward 330° exactly, the direction equidistant between G and K; the figure mirrored so A's routes run D, E, F clockwise, D at the lower left where F stood, E the apex; every length kept. The alternatives on the record: D pinned exactly where F stood (F then at 304°); F drawn at the set distance 5; the page's figure left as drawn; the priors re-paired by direction. F stands on the priors' circle at the hexagon's sixth vertex, A's own sector — drawn, read into nothing. His.
- IC-C29 · what a prior consumes. His tenth text: "No matter how far G to K actually are in this diagram, they only take consume 1 step but as a 5 bit background to the 6 'spacetime' nodes." As built, a prior's hop is not timed and A's line by its prior travels the page's set distance (1, 1, 2, 3, 5). The house's candidate reading, computed beside and not built: every line a prior carries from A in flight exactly one step — at the eleven's unit holds under Morley the structure then closes under signed access (τ 11.908 at speed 1; 5.384 at 18) where as built it does not. Whether the five priors are the five bits behind the six seats on the record, and what one step is to a prior's carry, is his.
- IC-C30 · the eighteen and the twenty-one. His tenth text: 18 steps per tick as "the true 'speed' of computational dynamics", "equivalent to 2 locks one, where 2 up is 12, 6 down is 'between' each 2 doing up", and the menu by ones to 21 "to fully test the dynamics" — built as the menu; the attached at 13 and the eleven at 18 on the record. What the instrument finds: at the unit holds with the priors alive the sequence of events is the same at every speed from 12 to 21 (every flight shorter than half a tick, the order fixed by the holds), so 18 reads as 12 and as 21 do there; the pair A, B alone cycles in 2 + 2/v ticks, so its rate is v/(v + 1) and rises to the menu's end. The identifiers the house hears — coco's "2 locks 1", 12 + 6 = 18 = 36/2 beside his 36 by K (IC-C13), the five priors as five bits — are his to confirm; what 18 is to be on the record is his.
The fences: no physics — the two accesses' times are two readings of one page, no expansion rate, no tension, the visible universe and the big bang the externality's words and his; no claim over the prize; nothing of his prediction staked or graded; the prediction's record and the held conjecture's design cited by pin and never edited; the Hallway and the corner untouched; the geometry his word; the Ruler's K never stated, his K the eleventh seat, the prior of A to F; this face records nothing.