Canonical reference map for the PRE-GHR publication series. Records every record in the series with its concept DOI, version history, and relational links; declares numbering conventions and known gaps; establishes citation and versioning standards. This map is itself a PRE-GHR series record. v33 (2026-08-28). Two changes. 1. PRE-GHR XXXIX v5.0 registered (version DOI 10.5281/zenodo.22145426; concept DOI 10.5281/zenodo.21889278 unchanged). v5.0 is the release version closing all six objections of an adversarial pre-submission review, one revision ticket each: Theorem 4 unilateralized with the converse demoted to an observation under an explicit complete-erasure assumption (R01); ledger counts restricted to lower witnesses, the ordering claim made conditional on a fixed normalization and full retention (R02); an explicit two-sided finite-sample bound replacing an expectation-only argument (R03); four empirical mappings corrected — schema-field disjointness separated from retained-trace intersection, join error reported two-sided with the earlier “directionally safe, never over-counting” claim withdrawn, overlap-error direction governed by an error budget, retention ratio restated in matched units (R04); measure-relative notation throughout (R05); subject classification reassessed and Related Work rebuilt (R06). This is the first subject-classification reversal recorded in this map: cs.MA is withdrawn as unsupported by the technical content — the formalism contains no agent population, strategic interaction, or equilibrium claim — and replaced by cs.CR primary with a cs.DB cross-list; Related Work now separates the lineage the paper inherits from (linked timestamping and distributed witnesses, split-view detection and the undefined gossip layer, existence-not-authenticity timestamping, provenance and lineage, record linkage, trace semantics, measure and order) from adjacent recent lines cited for comparison only, assigning priority to the sources where the paper's constructions proved to be rediscoveries. Two gaps are declared inherited rather than closed: the hash-chain anchor has no consistency-proof comparison mechanism, and the anchor-propagation layer is undefined in the source standard as well. 2. The AI-collaboration attribution note (drafted 2026-08-20, previously unpublished as a local v32.1 revision) is merged into this version. It records that papers in the series are drafted with AI assistance, that the author block is platform-plus-model double-written from XL v1.3 onward, and how the platform-only author line of earlier versions is to be read. On merge, the coverage clause of the writing-model statement was narrowed under red-pen review (2026-08-28): the claim's width is aligned to the strength of its evidence. The complement of the recorded provider-fallback events establishes that no fallback leg entered a paper-writing session; it does not establish per-paper model attribution for the entire series. The statement is therefore scoped to the drafting sessions of the pre-v1.3 papers named in the per-paper note, and the narrowing itself is recorded in the revision history so that the difference between the unpublished local note and this published version is auditable. Delivery-fingerprint discipline updated this day. A PDF's md5 is a build-instance fingerprint, not a content fingerprint: pdflatex writes /CreationDate and /ID on every build, so the same source compiled twice differs in md5 while the typeset content is identical (measured: 68 differing bytes, all inside that region). Deliverables in this series now carry file md5, a content fingerprint with the extractor and version named, page count and byte count, produced under a reproducible build with the embedded date pinned. Record count unchanged: 39 records (27 series-internal).
Quantum Cellular Theory of Space: A Testable Cosmological Model of a Dividing Causal Network Author: Martin JámborState of knowledge captured as of: 9 August 2026 Quantum Cellular Theory of Space is a research hypothesis in which space is not a fundamental continuous stage but the macroscopic manifestation of a discrete local network. In this picture, observed spacetime, matter, and fields would be emergent descriptions of the collective behaviour of its cells. The theory asks whether one physical substrate can explain the common origin of cosmic expansion, accelerated expansion, the formation of matter, an unseen clustering component, a relativistic relic, the propagation of light, and physical irreversibility. This is not a biological model. The terms cell, fuel, ash, steam, and scar denote distinct roles in the energy and state description of the network. The hypothesis is not yet an experimentally confirmed replacement for general relativity, quantum field theory, the Standard Model, or standard cosmology. In domains where those theories are validated, it must reproduce their successful laws and observational bounds. Its contribution would lie in deriving their common microscopic origin or predicting a new measurable deviation. Physical picture The basic working idea is that cells of space can locally rearrange or divide. Macroscopic expansion would then be not motion into an external void but a change in the number and arrangement of the degrees of freedom from which space emerges. The energy component that enables rearrangement is called fuel. In the effective cosmological description it has pressure close to vacuum pressure, and it can therefore carry part of the physical role attributed to dark energy and accelerated expansion. Energy and momentum must remain conserved when fuel is processed. The model investigates three possible output channels: matter as stable or long-lived excitations; ash as a nonrelativistic gravitationally clustering residue that may take over part of the role of dark matter; steam as a relativistic or freely propagating share of the energy that may leave an imprint in the early radiation or thermal background. It has not yet been determined which channels actually exist, what their fractions are, or whether they arise in parallel, sequentially, or through mixed branching. The answer must come from a common local law and observations, not from a verbal choice of mechanism. A scar is a candidate persistent change in the internal state of a cell or its links after a physical event. It is intended to carry local memory and may provide a basis for the arrow of time. It has not yet been shown whether the same mechanism can also explain a single outcome of a quantum measurement and the Born rule. Light is investigated as a wave or excitation of the common substrate. If light, matter, clocks, and measuring rods are all realizations of the same network and share one local light cone, all inertial observers may measure the same limiting c. This objective still requires derivation of the photon sector, a common metric, boost symmetry, absence of impermissible birefringence, and the equivalence principle. Central mathematical bridge The global mean-field effective overhead of rearrangement is written as delta = 1 / (<k> + C) where <k> is the mean number of face neighbours in the reference Poisson–Delaunay network and C is the working internal capacity of a cell. For <k> = 48 pi^2 / 35 + 2 ≈ 15.535 C = 28 this gives delta ≈ 0.02297 This overhead is connected to the effective equation of state of fuel: p_f = (-1 + delta) rho_f w_f = p_f / rho_f = -1 + delta The fluid form is the same as in modern cosmology; what differs is the proposed origin of w_f+1 in the geometry and capacity of the network. The value C=28 is read as the number of bosonic states in the restored phase of the Standard Model, but this identification does not yet have an independent microscopic derivation. The arithmetic 16_gluon + 8_EW + 4_Higgs = 28 counts the four real Higgs directions as already including the three directions that become Goldstone modes; it does not add them a second time. It remains open why cell capacity should count precisely bosonic and not fermionic degrees of freedom. Because the value 28 was chosen before this link was fully derived, its success in downstream calculations is not independent confirmation of the theory. If the local degree of the network varies, the overhead of one cell would have the form 1/(k+C) and its average would be <1/(k+C)>. Jensen's inequality then gives <1/(k+C)> >= 1/(<k>+C) with a strict inequality when the degree has nonzero variance. Without the distribution P(k), the value 0.02297 is therefore the mean-field value and a lower bound for this locally averaged branch, not a calculated local overhead. Cosmological background For x=ln a, the effective homogeneous model uses the densities of fuel rho_f, ash rho_c, baryons rho_b, and radiation rho_r: d rho_f/dx = -3 delta rho_f - lambda (H0/H) rho_f d rho_c/dx = -3 rho_c + lambda (H0/H) rho_f d rho_b/dx = -3 rho_b d rho_r/dx = -4 rho_r H^2 = (8 pi G / 3) rho_total Transfer between fuel and ash has opposite sources in the homogeneous description: Q_f = -Q_c = -lambda H0 rho_f The total background energy ledger is therefore conserved. lambda describes a family of effective transfer rates, not a derived constant of nature. The calculations use the data-calibrated reference point lambda=0.15; it is neither an independent prediction nor the only allowed value. The separately examined points 0.10 and 0.15 do not establish that the whole interval between them is allowed. A continuous physically admissible range must still pass stability, the null limit, and a joint comparison with BBN, CMB, BAO, structure growth, and lensing. Data used to select or normalize the reference point cannot be counted again as its independent confirmation. One homogeneous universe must have one expansion history H(a), independent of the Fourier mode later used to describe a perturbation. The early dimensionless perturbation coordinate z = k a / [H0 sqrt(Omega_r0)] must therefore not enter the background as a physical global scale. For p=4-3 delta, the mode amplitude is written as Phi(k) = A_f [H0 sqrt(Omega_r0) / k]^p which yields the homogeneous fuel term Phi(k) z^p = A_f a^p For the inputs used here, A_f=7809.270101963506. This is a conditional normalization of the specified background, not a new universal constant or a separate fit to observations. Linear perturbations and stability In a simplified nine-variable model with effective perfect radiation, the complete three-mode regular basis, kinetic and gradient signs, characteristic speeds, null limit, static Einstein constraints, behaviour at q={30,300,1000}, and numerical convergence were tested. No forbidden high-frequency growing instability was found within this scope. The result applies only to the stated model. It is not a microscopic no-ghost theorem, a proof of global hyperbolicity, or a complete evolution of photons, neutrinos, baryons, fuel, and ash. Static Einstein constraints alone do not prove their dynamical Bianchi propagation. The scalar cosine-Laplacian operator is exactly even in wave number, so its expansion contains no odd linear term. This property is necessary for a viable discrete scalar sector, but it does not by itself derive full Lorentz invariance, photon dispersion, or the equivalence principle. Quantitative consequences and viability conditions The following values are commitments of the specifically stated formulations. Agreement keeps them viable but does not confirm the cellular mechanism. A robust disagreement can exclude them only after a complete link between the model and the measured quantity, including uncertainties, covariances, and systematics. Quantity or phenomenon Value or physical condition Limit of interpretation extra relativistic relic Delta N_eff=0.0535, hence N_eff≈3.10 Applies to an early-decoupled two-polarisation thermal formulation; the local source, branching, exit, and reheating are not derived. scalar tilt n_s=0.9656 +/- 0.0016 Target of the exact delta/m=1/2 mechanism; the width is neither a new posterior nor an uncertainty derived from the formula. tensor-to-scalar ratio sharp target r<1e-10; broader practical marker r>=1e-3 The complete tensor operator, source, normalization, and B-mode observable map are missing. Hubble constant H0≈66.4 +/- 0.4 km/s/Mpc Condition of the frozen background, not a new global fit or a solution to the Hubble tension. clustering S8≈0.86–0.87 Condition of the simplified growth formulation, not a full Einstein–Boltzmann result. effective CPL description w0=-0.919, wa=-0.612 Joint target of the accounting reconstruction; it is not a microphysical equation of state for fuel. sterile ash no confirmed nongravitational signal A numerical experimental window can be defined only after deriving the mass, spin, abundance, lifetime, and couplings of ash. exact n_s-w relation no active claim The exact formula is not part of the current theory. time drift of delta delta=0.02297 is only a constant benchmark The function delta(a) or delta(x) and a measurable drift window have not been derived. scalar dispersion the odd linear coefficient is exactly zero The result applies only to the stated scalar operator. thermal steam or wave background T≈0.905 K, peak near 53 GHz This is the same thermal commitment as Delta N_eff; identification of the relic with gravitons has not been derived. The thermal result uses the standard entropy arithmetic for an early-decoupled bosonic relic: Delta N_eff = (4/7) g_x [10.75/g_*s,dec]^(4/3) with g_x=2 and g_*s,dec=106.75. The cellular hypothesis adds a possible causal origin of steam in the processing of vacuum fuel, but it does not yet determine what fraction of energy enters this channel or how the relic survives unt