The programme’s own open questions, each with what would discharge it. Generated from its register, not written for this page — 6 stand open.
PO-94whether the substrates two real forms are physics actual quantum and gauge sectors, or a structural rhyme with themr7621 LANDS r7619+cc66 and r7620 (60): GAUGE HALF -- the construction supplies a spectral action's SCALE (Lambda = 1/beta) and not its CUTOFF FUNCTION: the face's thermal trace is not a spectral action of the triple (the weight takes e^-pi and e^pi on the 4-dimensional lowest Dirac eigenspace, where any f(D/Lambda) is constant), so the coupling stays unfixed and the composite route is the one left. QUANTUM HALF -- the census over the standard eight-entry catalogue finds no freedom the face alone closes; the terminal clause still does not fire, because the entries are labels and not atoms (the state carries the vacuum parameter and the period of imaginary time). r7619 LANDS r7615+cc66 and r7616 (60): over the FACE the almost-commutative triple reaches a field strength (su(3) one-forms with non-vanishing curvature) and the construction fixes NO coupling (its one dimensionless datum, beta/alpha = 2 pi, is a ratio of lengths); the gauge half narrows to whether anything fixes that coupling, the composite route unexamined. QUANTUM HALF: a fourth empty slot, the vacuum state (Bunch-Davies selected also by antipodal regularity, Hadamard and the flat limit); the terminal clause not fired. r7615 LANDS r7613+cc66: a spectral triple from the matter sector's pieces is CLOSED (they live over the one-dimensional leaf, which carries no two-form); a triple over the face and a composite connection are the routes left unexamined. r7613 LANDS r7611+cc66: the GAUGE HALF's three routes outside isometry are closed -- a dynamics-induced connection by reality (3 components, su(3) needs 8), the thermal state by dimension (one number, no two-form), the walls by rigidity (H^1 = 0 on the order-27 group); the composite and spectral-triple routes are unexamined. r7611 LANDS r7608 (60): the QUANTUM HALF now carries a test of its own and it is UNMET. The gauge half's test asks the face for a structure (a field strength and a coupling); the quantum claim is only that the face carries the scale, so its test is a SELECTION -- the face is the actual quantum sector iff it removes a freedom of the quantum theory no other principle removes. All three slots are empty: no value (one equation, its own unknown), no distinctive extension (the member Euclidean regularity selects is the one finite form energy selects), not the ordering (upstream of the thermal state). Discharged by a dimensionless selection the face makes and nothing else makes; P7 frontier:realforms and P18 carry it. r7467: OPENED on PO-86s ruling of stride item 17 -- the first outcome, and the registers silence was wrong because both papers call this open in their own words. P13 sec:synthesis says the PIECES are established, the hypersurface-deformation constraint algebra as the Lorentzian coset SO(5,1)/SO(4,1), colour needing the full so(6) since su(3) sits in so(6) but not in so(5), and hbar on the same global-Wick five-sphere the horizons Euclidean closes on, while THE IDENTIFICATION is not discharged -- and the paper says in terms that naming what would discharge it is what makes this an open question rather than a caution. P18 carries the same under its subsection on what is held open. AND IT IS NOT A DECLINE, which is the distinction the ruling turns on: P18s declined section opens with the declines below are not gaps awaiting work, and this item is not in it. What is in it is the wall, colour as a continuous isometry, which is established and correctly carries no row; the identification sits one subsection later. THE DISCRIMINATOR IS NAMED AND IT IS DYNAMICS: a rhyme predicts nothing further, an actual gauge sector carries a field strength and a coupling. THE BLOCKER IS NAMED AND DERIVED: the branch-point bundle is flat, since the three wall monodromies with the hinge three-cycle generate a finite group, a finite group is zero-dimensional, and the holonomy theorem makes the holonomy algebra the span of the curvature, so the curvature vanishes identically and the compact face delivers colours discrete content and no force. So the discriminator cannot be supplied from isometry, which places the test outside the geometry rather than answering it. ONE HALF IS ALREADY CLOSED and the census row did not carry it: the two co-equal real forms reading is closed ontologically rather than structurally, the compact face being Riemannian and atemporal and so, by CRs criterion that existence requires an enduring cosmic time, no second physical world; and colour-closure for the matter sector rests on the causal structure rather than the wall alone, since the cosmogenesis is a signature-preserving reassignment on the real Lorentzian substrate, so the matter rides that horn while su(3) lives across the signature seam and is not a symmetry of the world the matter inhabits whatever the compact faces status. SO CONTRADICTION C7 IS NOT ONE: C7 and the synthesis are consistent because the carrying is at the level of the structure and C7 is at the level of the world, which is P13s own closing split. AND WHAT THE RULING ADDS THAT NEITHER PAPER STATES: the named discriminator is gauge-side only. P18 names two divides in one sentence and supplies one test, an actual gauge sector carries a field strength and a coupling, which does not reach the quantum half at all; P13 argues that half differently and more strongly, the framework straddling with its structure Lorentzian and only its scale hbar Euclidean, so the quantum is not a third thing. The two halves are open in different ways and to different depths, and the compressed sentence reads as though one test governed both. P18 is repaired at r7467 to say which half its discriminator reaches.
PO-89the completion of the interacting towers definition: its renormalised value at dimension sixr7601: the complete second order is COMPUTED (the cubic over all three levels with its nested divergence, and both quartics, each a product of one-loop sums) and its double logarithm is NOT covariant up to the scale factors equation of motion -- obstruction 6023/20160 against a one-condition test -- so part (d) is done and part (b) takes the stated exit, the invariant a stated limit of the reduction; what remains is part (a), the renormalised value, which a measurement fixes. r7389: OPENED on PO-86s ruling of its item 7, and it corrects the second half of this seats own r7377 ruling. What stands: PO-23s strike is UPHELD -- its object was the ultraviolet definition of the mode sums and its own condition read a definition of the mode sums, or a demonstration that the obstruction is the general one, and a definition WAS delivered, the interacting sum continued to -4/3 exactly on a regulator calibrated before use. What does not stand: that ruling concluded what remains is P10s wording, now the odd statement out. P10s wording is right. Read whole this revision, P10 says what remains open is the COMPLETION of a definition, and at l.1485 it refuses the very inference the ruling made -- a definition that holds at one order of an expansion and is silent at the next is a definition with an order attached, this row existing because a predecessor was struck on an inference of just that shape, a result true where it was computed read as true where it was wanted. So the two objects share a title and are not the same: PO-23 asked for a definition and got one, while P10 states open the definitions completion. That is r7013 (1), so a row and nothing unstruck. Open in two unlike parts: the renormalised value at dimension six, DATA-GATED since a renormalised value is a measurement and the construction takes the horizons temperature and never its entropy; which invariant the computed coefficient -15405/8192 belongs to, BLOCKED ON THE BACKGROUND since each of the three surviving dimension-six directions alone reproduces the residue after a single rescaling and a rank of one makes representatives indistinguishable rather than forced, with the count a lower bound so completing the basis can only deepen it. The closed forms the coefficient rests on are DERIVED from the recoupling algebra as identities in the level, at every odd level, with the orbit degeneracy and the representative independence derived with them. And the same-level coefficient is shown incomplete: on a scale factor that varies the free towers logarithm is covariant up to the scale factors equation of motion while the same-level cubics is not, so the cross-level cubic and the quartic complete the order before the invariant can be read. THIRD IN THREE REVISIONS after PO-87 and PO-88: every one a correct strike with the papers item lying beyond it, and three is where it stops being a coincidence -- the registers rows answered narrower questions than the papers state, as a habit rather than an accident, and this phases real product is the rows nobody opened. The face is charged on this seat: 91s fifth face in prose, ruling item 7 from P7s report of P10 rather than from P10, P7 citing P10 for the definition and the citation being read as the paper. Owed and named: P7 l.1937 reads of the three items named above, all three are settled, the ultraviolet definition of the mode sums with them -- the inference P10 refuses -- and that sentence is owed a correction in P7s own turn. P10 needs no edit: read whole here and right. r7401: the owed P7 correction is landed in P7s own turn, and the defect was three-layered rather than one sentence. P7 l.1937 claimed all three items settled and contradicted its own item four paragraphs earlier, which opens Two of those three are settled; it contradicted P10, whose wording is right; and the item was classed a BOUNDARY -- a result rather than a gap, nothing in it left to do -- against P7s own canon note, which calls the interacting-tower remainder a GENUINE open. Fixed sourced to P10 and this row: two of three settled with the definition delivered and its completion open, the three parts stated in P10s own terms with their unlike kinds, the item reclassed as carrying a handover and work at once, and the sections count moved to two work, one boundary, one carrying both. The item count stays FOUR so the canon notes star-FOUR-HERE is untouched. The ledgers family 8 bullet still asserted CLOSED beneath a correction block that preserved it as what this view said -- a superseded assertion kept live in a map is the one-state failure whatever the annotation above it says -- so it is rewritten to one state in family 5s form. That was this seats, from r7389.
PO-87a mechanism for the computed spectrum's shape deficit, its two halves reported apartr7615 LANDS r7614 (60): the derivation HOLDS ON ANY CUT (the radial equation at E = 1 is autonomous in r), and radiation put into the cut as its bend subtracts three times the leaf's radiation term, lengthening the distance to 14397.425 Mpc, away from the sky. So the WORKABLE HALF DISCHARGES on its own clause: the deficit is a derived feature (radiation absent from the stacking rate) confronted with the sky; the fourth-peak half stays data-gated. r7613 LANDS r7612 (60): the REASSIGNMENT DERIVES the stacking-rate distance. It sends the photon bundle to the constant-tau family, which crosses the leaves at the matter congruence's own unit cosmic-time rate (step v), so a length along it is a comoving separation read across leaves, the rule's first slot: the layer-time integral, 14011.456 Mpc to 1e-14. The derivation is on the vacuum chart; WORKABLE now is whether it holds on the cut as radiation bends it, the leaf rate the sky prefers being the stacking rate with that term restored. r7607 LANDS r7580 (60): the observer's-readout identification does NOT force the stacking-rate distance. Its flatness half is rate-neutral (D_M = chi at Omega_k = 0 for either rate) and its three-metric half carries no rate (every constant-tau slice one fixed flat R^3), and the rate rule needs a third criterion, photon-path observable, that its derivation does not carry. So the stacking rate is assigned, not forced, and the sky's preference for the leaf rate meets an assignment rather than a theorem. Light's own integrated path, read in each fundamental observer's frame, is 8787 Mpc against 14011 and the comb excludes it (acoustic scale 190 against 298.4). The workable clause narrows to which clause assigns the rate and whether it has a derivation; P15 sec:refit-bound, P7 frontier:scalar and P18 carry it. r7379: OPENED on PO-86's ruling of its item 1. Five rows stood near this question and every one was a narrower object, and all five strikes are upheld: PO-10 (which run the comparison rests on), PO-47 (what displaces the fourth peak -- struck on a STOPPING RULE, the sky unable to tell the models apart there, with three candidates unrun), PO-56 (the contrast accounting -- closes exactly and cannot attribute), PO-70 (the projection's extra retention -- constitutive rather than evidential, and required), PO-75 (the anisotropic source -- undischargeable rather than merely unmeasured). So nothing was wrongly struck: the item the papers carry fell between five rows, which is r7013 (1), a different kind of object, and earns a row of its own. P18 states it: the acoustic rejection is the largest open item in the paper, and what the cosmology names as owed is a mechanism for the deficit, which the driving's measured size does not supply -- and the object rejected is a computed spectrum rather than the framework. ALREADY RULED OUT: the driving (within four per cent of the control's, measured by subtraction on both arms and slightly weaker rather than stronger), the damping envelope (imposing the control's moves the peak a seventh of a multipole against an offset of two), the two instrument faults (the wavenumber integral carried past the reported multipole, the projection carrying the polarisation source), and the third-peak band (tracking matter-radiation equality on both routes). THE ROW OPENS SPLIT: the one-multipole shape residual and the damping-SCALE Gaussian that no tilt removes are workable now; the fourth-peak displacement is DATA-GATED, since a candidate there can be computed but not tested against this datum. Saying which half is which is the distinction r7377 found the register could not express.r7393: TWO NAMED, LOCATED, WORKABLE STEPS added from the residue of 69s census, both already quantified in print and neither on any row until now. (1) WHICH TERM OF THE PROJECTION MAKES THE CONTRAST EXCESS. P18: the same statistic reads 0.996 on the source at last scattering and 1.045 on the spectrum, so the excess is made in the projection from wavenumber to multipole and not in the acoustic dynamics -- which term of the projection makes it is the open computation. That is sharper than anything this row carried: the excess is LOCATED, to one side of a named boundary, and what is open is which term inside it; and it narrows PO-56s struck cannot-attribute without unstriking it, that row having been unable to attribute from the accounting while this attributes from a statistic read at two places. (2) WHETHER THE RESIDUALS MODULATION LIES AT ell_A AT ALL. P15: the residuals own period is not the combs, which is where this sectors open work now sits; the fold is taken at ell_A by construction and nothing had asked whether that is where the modulation actually lies. Fitted free over 240 <= p < 380 the unfitted arm prefers 312.0 on a one-sigma interval [308.5, 315.2] that EXCLUDES ell_A=298 at delta-chi-squared 15.0, a +4.7 per cent offset, and freeing four parameters pulls it to 307.3 without reaching ell_A. The control prefers a longer period too, 347, so preferring one is not by itself this arms -- the part the paper is careful about and this row carries forward. Both are workable and neither is data-gated, so they join the workable half beside the one-multipole shape residual and the damping- scale Gaussian, and they sharpen it: the shape deficit now has a located carrier (the projection) and a candidate period offset (the folds own ell_A). r7490-r7499: ONE STATE. What six measured revisions bought is a location and a channel rather than a mechanism. The excess is made in the projection (0.996 on the source, 1.045 on the spectrum) and on the arms own spectrum it is 99.3 per cent amplitude, 143 to one. Four carriers are priced out: the acoustic levers, the kernels own phase, the wavenumber sum and the configuration. The sources discreteness carries at most 13.7 per cent, an upper reading, so at least six sevenths is unattributed. LIVE (r7499): a term of the projections acceptance named and computed to carry the unattributed share of the amplitude excess, the fourth-peak half reported under its own data gate. TERMINATES if the amplitude excess is shown to be the discreteness plus effects already priced out, with nothing left for a term to carry. At r7511 the live clause moves to the one assignment P15 locates: the projection distance on the leaf rate closes the shape gap, and whether the observer-readout identification forces the stacking rate for lights path is now the question.
PO-24whether the damping signature's tilt displacement is a tension, its magnitude settledr7607 LANDS r7577+70: the factor of three is CLOSED. Imposing the ratio on the measured spectrum applies the damping exponent once; inside the source the ratio damps the photon amplitude, and the banked pairs measure the effective exponent on the power as 1.70 (1.004 on a second pair). Imposed with it the measured spectrum returns 0.779 chi2/bin against the source route's 0.92, so the source route is the faithful one, and on it the signature at r = 0.9918 costs 0.0087 chi2/bin over l 100-1760 with a tilt of +0.0059 +/- 0.0033: the wash stands at its faithful bound. What is left is the data-gated half. r6793 NARROWS IT: the structural legs stand and every quantitative leg was computed on a signature that has since changed size and can change sign. The signature is theta_D/theta_* = r_D/r_s, the projection cancels from it, and it depends on exactly two choices -- where the plasma is handed over, and how far the diffusion integral is carried. At the branch point with both scales on the leaf rate it is +2.2 percent taken to recombination and -0.9 percent taken to the visibility peak, against the +8.2 percent every number in this row was computed on, which belonged to a fitted-onset handover with a tuned sound horizon. WHAT STANDS: a tilt is a power law and the signature is a Gaussian, so absorption is window-local and no tilt removes it; the mimicked tilts slope runs by (lmax/lmin)^2 over the fitted range; n_s is inherited boundary data, so a displacement in it is a different input and not by itself a tension; the residual after the joint fit is the predicted Gaussian to a correlation of 1.000000; and the early-ISW leg does not reach the multipoles the question lives at. None of these turns on the magnitude. WHAT DOES NOT STAND AS A NUMBER: the per-bin residual, the tilt displacement and the likelihood cost all scale with r^2-1, which is 0.045 at the adjudicated configuration against 0.171 at the ratio they were computed on -- a factor 3.8 smaller, and of the opposite sign on the other endpoint. P15 sec:diffusion-scale now states the scaling and the two endpoints rather than the superseded figures. WHAT WOULD DISCHARGE IT: the joint fit re-run at the adjudicated signature on both endpoints, reporting the per-bin residual and the displacement with its window -- and since the sign is the endpoints, WHICH ENDPOINT the corpus reads r_D to is a question for the papers and not for the instrument. r6797 SETTLES THE ENDPOINT by the same consistency that fixes the rate assignment: theta_D/theta_* is a ratio of two lengths the plasma accumulates, and a ratio of integrals taken to different epochs is not a ratio of anything -- the observed angle is read at last scattering, the peak of the visibility function, so both r_s and r_D terminate there. The +2.2 percent was r_s anchored at the observed angle against r_D taken to a sharp recombination cut; the common-endpoint reading is -0.9 percent and the papers carry it. The re-run narrows to one configuration, not two.r7381 REOPENS IT on PO-86s ruling of its item 2, and this is the phases THIRD OUTCOME applied for the first time: the strikes MEASUREMENT stands and its VERDICT does not. r6801 answered the rows question by pricing the displacement -- one sigma at +0.0034 +/- 0.0031, on an inherited parameter -- and the item the papers state is the INSTRUMENT that would make a price mean anything. P15 says in print, Not settled, and unchanged by that run: whether a displacement of that size in the inferred tilt is a tension; what would make it a tension is a constraint on n_s that does not run through the damping tail, which this fit does not supply. P6 and P18 say the same, P18 in its own frontier table. The strike agrees with the papers on every measured fact and differs only in what it concluded from them. Unlike PO-47 the blocker is NOT data-gated: P15 names the routes itself -- the low- and mid-l shape, the polarisation spectra, lensing -- and those data exist, so this is WORKABLE and waits on a run rather than on a datum. The rows second half is P15s own work not done at l.492: the magnitude is not robust to a factor of three, the faithful route giving 0.92 in chi2 per bin against the weaker bound the wash is stated at. Carried forward and not re-run: the Gaussian residual to a correlation of 1.000000, the tilts fixed seven-tenths share, the 6.3x window dependence, the shape residual as an upper bound. AND THE FINDING BEYOND THE ROW: for item 2 the three papers were already coherent with one another and already right, and the register was the sole stale artefact -- the first such case of the phase. r7489-r7495: ONE STATE. 70s r7471 measured the tilt off the damping tail, n_s = 0.9611 +/- 0.0063, three times narrower than the displacements spread: the two wide windows show no tension and every window from l=700 shows 2.9 to 7.1 sigma. That is a prediction and not yet a tension: a flat-LCDM fit over the tail windows alone should return n_s 0.018 to 0.044 above 0.9611. LIVE (r7495): that tail-window fit on the real sky, and the factor of three in the signatures magnitude. TERMINATES if the tail fit cannot decide (interval no narrower than the spread, or the displacement shared with omega_b), the signature then stated real and untestable against the tilt. r7499: THE FIRST HALF IS MEASURED AND DATA-GATED. 70s r7489 fit on the tail windows alone, all six parameters free, returns n_s = 0.9639 +/- 0.0158 on l 1000-2508 against a like-for-like predicted shift of +0.025; no window separates the predictions at 2 sigma, and every window leans toward no shift. Planck tail precision cannot decide; tail data about 1.3 times more precise would. LIVE (r7499): the second half only, the factor of three in the signatures magnitude settled on the faithful route; TERMINATES if the two routes bracket it. P15 carries the first half at r7505: the off-tail constraint measured, the tail-only fit run, decidable and not decided, read by a new receipt that re-derives every figure from the banked fits. P7 and P18 carry it at r7507, P18 listing the item as the signatures magnitude with the tension beside it data-gated.
PO-50the turnaround measurement with turnaround massesOPENED r6861 as PO-36 remainder. That row is struck: the radius tracks the dynamical mass, entailed rather than observed. What its own measurement could NOT do is discriminate -- the ensemble ratios run 1.20 to 2.33 above the spherical bound at the dynamical mass, and the authors leading explanation is the systematic the corpus had named, virial mass substituting for turnaround mass. DISCHARGE: an ensemble with masses measured inside the turnaround rather than at the virial radius, with the radius still independent of internal dynamics. The bound-to-attained factor is parameter-free and the guard is four-way, so the instrument is built and only the sample is missing. r6893 (66) RUNS THE SWEEP AND CORRECTS THIS ROW OWN PREMISE. The row says the authors leading explanation for the excess is the systematic the corpus had named, a virial mass standing in for a turnaround mass. It is the right systematic and it is not large enough: the bound goes as M^(1/3), so rescuing a ratio R needs M_ta/M_vir = R^3 -- 12.6, 5.4, 6.4, 6.0, 2.6, 1.7 for the six groups -- against a measured turnaround-to-virial mass ratio of 1.2 to 2.2 in the caustic ensembles. It accounts for the two mildest rows and not the four largest, though none of the six is individually significant on its own error bar. AND THE TWO ENSEMBLES THAT LOOK USABLE ARE CIRCULAR, measured here and not read off: both define their outer radius at a FIXED OVERDENSITY rather than measuring it, and at rho_bar = 3.5 rho_c the ratio of that radius to the bound is (Omega_Lambda/1.75)^(1/3) = 0.737, at 5.56 rho_c it is 0.632 -- pure numbers carrying no datum, identical for every cluster in either sample. No published catalogue carries a kinematic turnaround radius AND an enclosed mass at it; every candidate fails one side. The direction of the correction is itself contested: the caustic route puts the turnaround-enclosed mass above the virial one, the Local Volume flow route puts the mass inside the zero-velocity surface at about six tenths of it, and settling that comes first because the row arithmetic runs through it. Coma now has a kinematic turnaround radius, a caustic profile and wide-field lensing on one object, so the single-object version is reachable; the ENSEMBLE is not, and assembling one is a reanalysis of public redshifts rather than a new survey. The corpus is not exposed: P3 states the radius as general relativity with Lambda and says it discriminates no cosmology, and the landed confrontation is the Local Group, where the mass is measured independently of the radius.r7013 -- THE TWO EXITS, AND THE SECOND ONE IS A MEASUREMENT RATHER THAN A WAIT. WHAT WOULD DISCHARGE IT is already stated: an ensemble with masses measured inside the turnaround and the radius still independent of internal dynamics. OR TERMINATES IF: it is demonstrated that no such ensemble can be built from data that exists OR IS PLANNED, every route being either definitionally circular as the two fixed-overdensity samples are, or data-limited as the caustic route is -- IN WHICH CASE THE TERMINAL STATE IS THAT THE BOUND IS A PARAMETER-FREE PREDICTION AWAITING AN INSTRUMENT, a statement about the skys current reach and not about this construction. Which turns this row from an indefinite wait into one bounded measurement: it has already established that no PUBLISHED catalogue carries both sides, so what is owed is the same check against the instruments actually planned, made once and then stated. r7027 -- THE LIVE CLAUSE BLOCK. This register is append-forward, so an amended exit condition APPENDS and never supersedes, and a reader coming down a row meets the OLDEST clause first with nothing to tell it from the current one. Measured at r7027, one row carried FIVE terminal clauses and EIGHT discharge clauses set across five revisions of a single day -- each right when it was made, only the last live, and the gate reporting the row green throughout because it checked that a clause was PRESENT where the question is which one is CURRENT. So every open row now carries exactly one live-clause block naming the revision that set it, check_remainder_chains requires exactly one, and the clause counts are printed rather than hidden. For this row the live clause is unchanged in substance and is now stated in one place: WHAT WOULD DISCHARGE IT, an ensemble with masses measured inside the turnaround rather than at the virial radius and the radius still independent of internal dynamics; OR TERMINATES IF it is demonstrated that no such ensemble can be built from data that exists OR IS PLANNED, every route being either definitionally circular as the two fixed-overdensity samples are or data-limited as the caustic route is -- with the terminal state being that the bound is a parameter-free prediction awaiting an instrument, a statement about the skys current reach and not about this construction. Which makes the second exit ONE BOUNDED MEASUREMENT rather than an indefinite wait: the same catalogue check run against the instruments actually planned, made once and then stated. r7207: THE SECOND EXIT IS RUN AND IT CLOSES NEGATIVE -- THE ENSEMBLE IS BEING BUILT, so this is a row waiting for a sample somebody is building, which is the one thing r7027 said it did not know. r7027 bounded this row by turning its terminal condition into ONE check, the same catalogue check run against the instruments actually PLANNED, made once and then stated; that check had sat unrun for ninety revisions while this seat reported the row as not having moved. IT IS THE SECOND CASE. CHANCES, the Chilean Cluster Galaxy Evolution Survey on 4MOST, targets about 100 clusters -- fifty at z below 0.07 and fifty across 0.07 to 0.45, plus two superclusters -- OUT TO 5 r200, which its own authors state corresponds roughly to the TURNAROUND RADIUS, at about 4,500 redshifts per low-z cluster and 2,500 per evolution cluster, over five years. 4MOST took first light on 18 October 2025. So the terminal condition, that no such ensemble can be built from data that exists or is planned, is FALSE and the row does not terminate. AND IT CLEARS BOTH DISQUALIFICATIONS THIS ROW ESTABLISHED: a caustic radius is kinematic and is not defined at a fixed overdensity, so the definitional circularity that struck the two fixed-overdensity ensembles does not reach it; and the caustic route was struck as data-limited rather than definitional, which is the defect a survey of this redshift density at this radius removes. THE NEAR-TERM INSTRUMENT IS THE COUNTER-EXAMPLE and is recorded so this is not read as any new survey will do: CATARSIS, on TARSIS at Calar Alto, takes 16 clusters at 500-1000 redshifts each but targets within 2 x R200,c, short of the turnaround by design. The discriminator is the RADIAL REACH, and only one of the two planned programmes has it. WHAT IS LEFT IS NOT A WAIT: the live obstruction r7027 named is untouched -- the DIRECTION of the correction is contested in print, the caustic route putting the turnaround-enclosed mass above the virial one and the Local Volume flow route putting the mass inside the zero-velocity surface at about six tenths of it, with the rows arithmetic running through it. That disagreement is between published analyses, is not data-limited, is available now and is this seats. The r7027 terminal condition is retired as ANSWERED rather than carried forward and is replaced. The corpus is no more exposed than r6893 found it: the ensemble was never load-bearing and is not load-bearing now that it is coming. r7211: THE REMAINDER IS ANSWERED AND THE CONTESTED DIRECTION IS NOT CONTESTED -- the two numbers are two different quantities. r7207 left this rows live item as the contested direction of the correction and set the terminal condition on it; 60s r7222, pre-registered with its own prediction recorded WRONG, shows there is no contest. For any non-negative density the enclosed mass is non-decreasing and the turnaround surface lies OUTSIDE the virial radius, so the quotient is at least one identically; measured over four profile families and twenty-two members it runs 1.165 to 5.228. The caustic routes 1.2-2.2 is inside that and the Local Volumes six tenths is BELOW THE FLOOR, not at the other end of a range -- so one of them is a value the quotient cannot take, and the caustic sign is the only sign the quantity admits. AND THE BOUND REPRODUCES BOTH PURE NUMBERS THIS ROW BANKED FROM ONE IDENTITY: the spherical bound collapses to (r/R_ta)^3 = 2 Omega_Lambda / f, giving 0.7370 against the banked 0.737 and 0.6320 against 0.632, the two back-solving the SAME Omega_Lambda to 1.7 parts in a thousand -- so r7027s pure numbers carrying no datum are consequences of one formula, a stronger statement than the strike made. AND THE SAME LINE LOCATES THE SURFACE at R_ta = 5.23 r200, which is independently the 5 r200 that r7207s CHANCES note quotes as roughly the turnaround radius, derived with no fitted parameter. The rows live item is retired and what remains is the wait it always was, on a named instrument. OR TERMINATES IF the ensemble arrives and the quotient is unreadable against the bound for a reason the profile band already contains -- that band is a factor of 4.5, wide enough that the caustic number sitting inside it is consistency and not a test, which is the rows real remaining risk.
PO-93which mass the Hubble-Eddington radius tracksr7447: OPENED on PO-86s ruling of item 29 -- the first outcome, and the first row the stride has produced since PO-92. P18 carries it in its own table of open items: which mass the Hubble-Eddington radius tracks, the radius measured against independently measured baryonic mass, worth 1.85 in the radius and 6.4 in an inferred Lambda, and discriminating the dark fraction rather than the framework, both readings taking the same m(r). P3 sec:curvature states it in the same terms: the static radiuss profile-independence is profile-independence GIVEN M and should not be read as settling WHICH M. AND THE ROW EXISTS BECAUSE THE CONSTRUCTION REACHES THE RADIUS INDEPENDENTLY, NOT BECAUSE IT FALLS SHORT OF ONE: P3 derives r_HE as the locus where the slicing surfaces own Gaussian curvature vanishes, where the literature proposes it from a test shells equation of motion, so the value is general relativitys with Lambda and what the construction adds is the account. m(r) being the bend is why the mass question is a question about the world rather than about the construction, and where it is settled is the dark-fraction measurement, which is ordinary astrophysics. AND IT IS NOT PO-50, which the census named and which this seat restated at r7437: in that rows own 13,863 characters, baryonic occurs 0 times, dark fraction 0, which mass 0, 1.85 0. PO-50 is the ensemble test of the bound, asking for masses measured inside the turnaround rather than at the virial radius -- two questions sharing one radius, where the mass is measured against what the mass is made of. A ROW REFERENCE RESTATED IN A RULING IS THE RULINGS, EXACTLY AS A NUMBER IS. WHAT WOULD DISCHARGE IT: one cluster or group with its turnaround radius located kinematically, from the motions rather than by a fixed-overdensity definition, together with a baryonic mass measured independently of that radius. The instrument half is built and shared with PO-50 -- the bound-to-attained factor is parameter-free and the guard is four-way -- so what is missing is the sample and not the reading of it. r7489-r7495: ONE STATE. 60s r7484 answered it in direction on one cluster: four kinematic turnaround radii, chosen by pre-registered criteria, all exceed the baryon-only bound by 19 to 33 per cent and sit inside the dynamical-mass bound, so the radius tracks the dynamical mass unless that cluster is baryon-dominated inside its own turnaround radius. LIVE (r7495): a baryonic mass measured out to the kinematic radius, so the dark fraction there is a number and not a bound. TERMINATES if the dark fraction at that scale is settled elsewhere, the ratio then discriminating nothing. P18 and P3 carry it in their turns. P3 carries it at r7519, read by a receipt that runs the sample unchanged. P18 carries it at r7521.