The Expansion
Page 5 of Constitution as Colimit — early-stage research program. This page presents work in active development.
Gravity proposed — conceptual
The framework proposes that gravity is not a force transmitted between objects. It is not a field waiting to be quantized. In this account, gravity is the constitutional process itself — process attracting process. This is speculative — the formal bridge to general relativity does not exist.
The proposed identification runs deeper than analogy. If existing and gravitating are the same act, then everything that exists gravitates because everything that exists is constituted by the same process. Gravity would be universal because it couples to the most primitive shared property — existence itself — and nothing that exists can opt out of existing.
The inverse-square law emerges from geometry: the constitutional signal dilutes with the surface area at distance r, which grows as r² in three dimensions. No separate rule is needed.
The framework’s gravity mechanism is conceptually clear. The formal bridge to general relativity’s field equations is not. GR’s equations remain empirically correct as an effective description. The framework proposes a generative account beneath them but does not yet derive them. The framework cannot currently reproduce any quantitative GR prediction — no lensing angles, no gravitational waveforms, no perihelion precession, no frame dragging.
An important tension. Standard GR describes gravitational time dilation as a genuine difference in elapsed proper time, not merely a signal-propagation effect. Experiments comparing local clocks at different gravitational potentials — Hafele-Keating (1972), optical clock comparisons at different altitudes (Chou et al. 2010) — confirm that the clocks themselves accumulate different proper times. The framework’s account, which interprets redshift through constitutional signal gradients, must accommodate these local clock results and not only the redshift of escaping signals. This remains an open tension in the framework’s gravity proposal.
The cosmological constant proposed — conceptual
The universe is expanding, and the expansion is accelerating. The standard model of cosmology describes this acceleration with the cosmological constant Λ. A naive estimate of vacuum energy using Planck-scale cutoffs gives a value approximately 10120 times larger than the observed cosmological constant (Weinberg, 1989). Whether this constitutes a genuine prediction or a symptom of our ignorance about quantum gravity is debated — the naive sum requires a physically unmotivated cutoff — but the discrepancy is real and unsolved.
The framework claims this discrepancy is not a calculation error. It is a category error.
QFT computes vacuum energy — and may compute it correctly. But the framework proposes that vacuum energy is not what drives expansion. Instead, expansion is driven by the constitutional process generating more structure — new distinctions, new relations, new constitutional events. The process grows because self-reference (Axiom 3) means the process applies itself at every step. (This is the framework’s claim, not established physics. The cosmological constant problem has multiple active research programs, including the string landscape, sequestering mechanisms, and unimodular gravity.)
The 10120 discrepancy is the distance between the right answer to the wrong question and the observed phenomenon.
Two framings under active investigation
The core claim — expansion is a growth rate, not an energy density — is shared. How to express it is not settled. Two framings are being explored, presented here side by side because neither has been chosen. Framing B is more consistent with the framework’s ontology (no substance, only relations), but Framing A is more intuitive. The reader should treat both as works in progress.
Framing A: Configuration space growth
The configuration space of the universe is expanding because self-reference generates new branches. Each branch creates more possible next branches. Branching compounds. Physical space is the observer’s projection of that growing configuration space. Expansion accelerates because the growth rate increases over time.
Early universe: dense, matter-dominated. Gravitational attraction slowed expansion. Over time, matter thinned as configuration space grew. At the transition point (~6–7 billion years ago), the growth rate overtook gravitational braking. Expansion began accelerating.
Framing B: Relational measurement
Space is not a substance. Time is not a substance. Both are measurements of the same relational network — one measuring its ordering (time), the other its structure (space). Neither generates the other. One measure does not produce another measure — that question is like asking how inches produce centimeters.
The process generates more constitutional events. More events means more relations. More relations means a larger relational network. We measure that network and call it “space.” The measurement gets bigger. We say “space is expanding.” But nothing expanded. The relational count grew.
Acceleration: self-referential growth (Axiom 3 applied to itself). The process of generating relations also generates more process. The rate of relational generation increases.
Framing A treats configuration space as something that grows — still somewhat substance-like. Framing B dissolves space entirely into a relational measurement — more consistent with the framework’s own ontology (“there are no constitutions — only the labels we make for them”). This is where the research is right now.
Honest gaps
Gap 1: vacuum energy does gravitate — this may be fatal. The QCD condensate accounts for ~99% of the proton’s mass, and protons gravitate at the predicted rate. Vacuum energy demonstrably couples to gravity inside every proton. The category-error claim — that vacuum energy does not drive expansion — requires a mechanism for scale-dependent decoupling: why does vacuum energy gravitate at the hadronic scale but not drive expansion at the cosmological scale? Without such a mechanism, the core cosmological claim is internally inconsistent. This gap is not resolved and is the most serious open problem in the expansion proposal.
Gap 2: inflation not addressed. Standard inflationary cosmology solves the horizon problem, the flatness problem, and the monopole problem. The framework does not address any of these. Whether constitutional growth can do the work that inflation does is unexplored.
Gap 3: no quantitative model. The framework describes why acceleration happens but does not predict the specific value of the cosmological constant. Until it does, the claim is a reframing, not a solution.
Dark matter proposed
Dark matter maps to the 10 measurement category in the constitution table: constituted (it gravitates, it has spatial position) but electromagnetically silent (invisible to EM-based instruments).
This identification restates the observational definition of dark matter in the framework’s measurement-category vocabulary. It does not add predictive content — no mass, no cross-section, no production mechanism, and the 5:1 dark-to-visible ratio is not derived. Whether dark matter is a WIMP, a sterile neutrino, an axion, or something else, the framework does not discriminate. Each would be a 10 constitution. The classification also groups dark matter with neutrinos in the same measurement category, obscuring the fundamental difference that neutrinos interact weakly while dark matter candidates may not.
The formal version
Gravity resists quantization — the framework’s account. The standard obstacle to quantizing gravity is dimensional: Newton’s constant G has mass dimension −2, producing divergences requiring infinitely many counter-terms (perturbative non-renormalizability). The framework dissolves this by identifying gravity with the constitutional process itself, not with a quantized field. Asking “what particle mediates gravity?” is asking the wrong question — like asking what particle mediates existence.
Gravitational time dilation. The framework interprets time dilation through the constitutional process: where mass is denser, the constitutional dynamics are more intense, and signals escaping that region are redshifted by the gradient they traverse (Pound-Rebka 1959, Gravity Probe A 1980). Important caveat: standard GR describes time dilation as a genuine difference in elapsed proper time, not merely a signal-propagation effect. Experiments comparing local clocks at different gravitational potentials (Hafele-Keating 1972; Chou et al. 2010, optical clocks at different altitudes) confirm that the local clocks themselves accumulate different proper times. The framework’s account must accommodate these local clock results, not only redshift of escaping signals. This remains an open tension in the framework’s gravity proposal.
Cosmological constant as growth rate. The claim is that Λ reflects the rate at which the constitutional process generates new structure (Axiom 3), not the vacuum energy density. Both quantities can be expressed in the same units (energy per volume), so the discrepancy is not dimensional but categorical. The reframing is the contribution. The full resolution — accounting for why bound vacuum energy (QCD condensate) gravitates while unbound vacuum energy does not drive expansion — is honestly open.
Dark matter as the 10 quadrant. The 10 configuration (constituted, spinning, no EM) has the correct observable properties for dark matter: gravitational interaction, spatial presence (traceable through gravitational lensing and galaxy rotation curves), and no electromagnetic coupling. This is a measurement-category identification, not a specific particle model. The framework’s contribution is structural (which bin), not specific (which particle).
Sources
Cosmological constant problem -- Weinberg, S. (1989), “The cosmological constant problem,” Rev. Mod. Phys. 61, 1–23; Carroll, S.M. (2001), “The Cosmological Constant,” Living Rev. Relativ. 4, 1. Accelerating expansion -- Riess, A.G. et al. (1998), Astron. J. 116, 1009–1038; Perlmutter, S. et al. (1999), Astrophys. J. 517, 565–586. Proton mass from QCD -- Dürr, S. et al. (2008), Science 322, 1224–1227. Perturbative non-renormalizability of gravity -- ’t Hooft, G. & Veltman, M. (1974), Ann. Inst. Henri Poincaré A 20, 69–94. Gravitational redshift -- Pound, R.V. & Rebka, G.A. Jr. (1959), Phys. Rev. Lett. 3, 439–441. Gravity Probe A -- Vessot, R.F.C. et al. (1980), Phys. Rev. Lett. 45, 2081–2084. Local clock time dilation -- Hafele, J.C. & Keating, R.E. (1972), Science 177, 166–170; Chou, C.W. et al. (2010), Science 329, 1630–1633. Dark matter evidence -- Rubin, V.C. & Ford, W.K. Jr. (1970), Astrophys. J. 159, 379–403; Clowe, D. et al. (2006), Astrophys. J. Lett. 648, L109–L113. Dark/visible matter ratio -- Planck Collaboration (2020), Astron. Astrophys. 641, A6.