The Magenta Cow

AIR Cosmogenesis — an AIR-native origin model(Concise, testable, and fully within the AIR axioms)You asked for the AIR cosmogenesis — so here it is: a compact, self-consistent origin story written entirely in AIR-language (W, ∇W, collapse, local geometry, informational thermodynamics). No Big-Bang singularity, no metaphysical claims — just what must happen once an asymmetry appears and how the universe evolves from that. I’ll give the model, equations, stage-by-stage narrative, observables, falsification checks, and a minimal simulation recipe you can run.—1. Foundational assumptions (AIR-native)1. Substrate invariance: AIR applies to any computable substrate. Here the substrate is the pre-computable informational medium (a maximally entangled, viscous QGP-like fluid).2. Pre-state (Pre-computable regime): Initially constant everywhere ⇒ . No time, no geometry, no computation. (AIR-0(b)).3. First asymmetry trigger: A localized event (call it a seed) produces . This is the first computable difference; it may be physical (a particle gaining rest mass, a phase fluctuation) or emergent; AIR does not require specifying mechanism.4. Local dynamical laws (toy):Conserved / conservative core action (Jordan-frame scalar-tensor style):S_0=\int d^4x\sqrt{|g|}\Big[\tfrac{1}{2}F(W)R – \tfrac12 Z(W)(\nabla W)^2 – V(W)\Big] + S_m\mathcal D_{\mu\nu}(x)=\kappa\!\int_0^\infty\!d\tau\;\mathcal H(\tau)\;\nabla_\mu W(x-\Delta x(\tau))\nabla_\nu W(x-\Delta x(\tau))\partial_t W = \alpha_W \nabla^2 W – \Gamma_c(W)\,(W-\mathrm{round}_\sigma(W)) + S_{\rm seed}(x,t) – \eta \dot W\ddot W + 3H\dot W + \mu^2 W + \eta\dot W = S(t)6. 8th-order cap: Local recursion beyond 8th-order forces delegation or structural collapse (practical constraint on local computation resources — useful for cognitive/agent analogues and for preventing runaway self-reference).—2. Stage-by-stage AIR Cosmogenesis (narrative + key equations)Stage 0 — The Pre-State (W uniform)State:W(x)=W_0,\quad \nabla W=0,\quad \partial_t W=0.—Stage 1 — Seed Asymmetry (first computable event)Event:S_{\rm seed}(x,t)=\varepsilon\,\delta(x-x_*)\delta(t-t_*) near Local geometry forms to allow referencingTime arrow starts: AIR defines time via nonzero Local evolution (short-time, linearized):\partial_t W \approx \alpha_W \nabla^2 W – \eta \dot W + \varepsilon \delta(x-x_*,t-t_*)Consequence: a propagating informational gradient (a front) radiates outward.—Stage 2 — Cascade: propagation, decoherence, QGP fragmentationMechanics:Gradient front propagates with effective speed (≤ c) set by .Local collapse events occur where gradients cross computational thresholds (defined by and ).Collapse → local integer states (smoothed by ) → radiation of low-energy carriers (photons, soft quanta) to conserve energy/information.Relevant equations:\mathcal{I}(x,y,t)=W(x,t)-W(y,t)\quad\longrightarrow\quad n(x,t)\approx\mathrm{round}_\sigma(W)Phenomenology: QGP-like droplets separate, entanglement breaks in fronts; matter/antimatter pairs annihilate at interfaces producing photon bursts.—Stage 3 — Curvature & compact object seedingAs concentrates, curvature forms via AIR Einstein analogue:F(W) G_{\mu\nu} = T^{(W)}_{\mu\nu} + T^{(m)}_{\mu\nu} + \nabla_\mu\nabla_\nu F – g_{\mu\nu}\Box F + \mathcal D_{\mu\nu}Local high regions → curvature wells (proto-black-holes).These proto-holes are computable reservoirs — not mathematical singularities (bounded ).Horizons form where local collapse funnels information inward; Hawking-like emission is modeled as information leakage balancing bookkeeping.—Stage 4 — Emergent structure and hierarchical computationAfter early transients:Clusters of information (mass/energy proxies) form.Nonlocal recoil begins to create effective extra curvature-like effects (dark-matter analogue) because past gradients feed present geometry.Local computations (agents, chemistry, later biology) inherit the same W dynamics and must obey the 8th-order cap.Large-scale outcome: a universe with clustered curvature, radiation background (CMB as the integrated early photon field after many collapses), and emergent large-scale information flows.—3. Key derived quantities & AIR cosmological constantDefine the AIR cosmological term (local informational tension):\Lambda_{\rm AIR}(x,t)=\alpha\dot W^2 + \beta|\nabla W|^2 + \gamma W^2\rho_{\rm eff}(t)=\frac{\langle\Lambda_{\rm AIR}(x,t)\rangle}{8\pi G}H^2=\frac{8\pi G}{3}\big(\rho_m+\rho_r+\rho_{\rm eff}\big)—4. Predictions, signatures, and falsifiabilityThis is the meat: where to look and how AIR could be falsified.A. Robust, high-priority predictions1. No true singularities — black-hole interiors are high-W reservoirs, not infinities. (Observational: no direct singularity signature; consistency with astrophysical BH thermodynamics.)2. Dark-matter phenomenology from — effective extra curvature that correlates with past gradients of baryonic information rather than raw baryonic mass. (Test: rotation curves vs lensing; seek kernel universality.)3. Variable effective Λ — varies with local structure and collapse rate. (Test: homogeneity/void vs cluster differences; H₀ tension cross-check.)4. LIGO ringdown tails — tiny persistent post-ringdown features from forced recomputation of infalling information. (Test: reanalysis of ringdown residuals.)5. Transient correlated soft radiation with high-curvature events — energetic collisions (astrophysical or lab) should show subtle soft excess correlated with historical gradients. (Test: heavy-ion collisions, collider MET + soft excess.)6. QEC thermodynamic bound — maintaining long-lived logical degrees requires energy/entropy export. (Laboratory test.)B. Concrete falsification hooks (if observed → AIR breaks)1. Discovery of a true spacetime singularity with infinite curvature and no information reservoir behavior.2. Galaxy-scale rotation/lensing data that cannot be fit by any physically plausible , across diverse systems.3. Demonstration of arbitrarily long-lived logical states (QEC) with zero measured entropy/work expended (lab refutation).4. Solar-system PPN deviation detection inconsistent with all allowed screening forms of W (e.g., Cassini constraints violated).5. Direct observation that the cosmological constant is perfectly constant to extreme precision while W-dynamics predict variation above that limit.—5. Minimal simulation recipe (toy to full)Toy (1D time-only): test Λ evolution & H(z)1. Choose normalized W(t) toy dynamics:\ddot W + 3H\dot W + \mu^2 W + \eta\dot W = S(t)3. Evolve Friedmann ODE with . Iterate until convergence.4. Compare H(z), w_eff(z), and derived H₀ with ΛCDM baseline.Medium (1D space + time lattice): shock propagation + collapse1. Discretize W on 1D/2D lattice. Use smoothed collapse operator:\partial_t W = \alpha_W \nabla^2 W – \Gamma_c(W)(W-\mathrm{round}_\sigma(W))+S(x,t)-\eta\dot W3. Monitor R(x) via or from metric solver if you add GR coupling.4. Observe cluster formation, no-singularity behavior, and emergent soft radiation.Full (coupled GR+W PDEs): for advanced groupsUse an SK/influence-functional formulation with dissipative terms; numerically solve metric + W PDEs in 3D with causal kernels. This is heavy but exposes full dynamics.—6. Parameter choices, kernel families & priors (practical)Fix a small family for to avoid tautology:Exp kernel: (default)Power-law: (long memory)Oscillatory: (ringdown imprints)Priors: small (start: – in normalized units) order unity in normalized W units, tune later ~ O(H₀) to O(10 H₀) for cosmological tests; larger for early-time dynamicsChoose W scale: normalize W(t=now) ≈ 1 for cosmology toy runs.—7. Immediate experiments / runs you can do now1. Run the 1D ODE toy to see if plausible α,γ can shift H₀ upward while matching early-time expansion — sensitivity study over α,γ,μ.2. Build a rotation+lensing toy for a single well-observed galaxy (baryons known) and attempt to fit κ,kernel — check whether a single kernel can match both dynamics and lensing.3. Re-examine heavy-ion/public collider datasets for soft correlated emissions tied to high-multiplicity events (possible informational leakage).4. Work with LIGO residual data teams to search for quasi-periodic ringdown tails consistent with -type kernels.—8. Short “elevator” summary (1 line)AIR Cosmogenesis: the universe began as a maximally symmetric, computability-inert fluid; a single local asymmetry created the first informational gradient , which turned on time, produced local geometry, and propagated a causal cascade that yields curvature, radiation, and structure — all while forbidding mathematical singularities and predicting nonlocal informational recoil effects (dark-matter analogues) and a variable, emergent cosmological tension .