Why does the output look like our Universe?
derivation map
Multiplying every position and every read radius at a layer by the same scale keeps the comparison ‖t − s‖ ≤ a intact, so the layered order is identical for every profile.
A finite event set carries mass ρ Σ σ_j⁴ Δ v_s, the discrete form of the four-volume weight σ⁴ dη d³x.
Interval-count ratios to the power ¼ bracket the proper-time ratio within (σ_max/σ_min) on each interval, and the bracket closes for a continuous profile and shrinking diamonds.
Scale history sits in the weight on records rather than in a rolling field. Amplitude, tilt and any sky comparison need the finite source map that is not supplied.
the two readings
| reading | expression |
|---|---|
| metric | ds² = σ(η)² (c² dη² − |dx|²) |
| record mass | M_σ(I) = ρ Σ σ_j⁴ Δ v_s |
| sandwich | σ_min⁴ M₁(I) ≤ M_σ(I) ≤ σ_max⁴ M₁(I) |
| count clock | (M_σ(I)/M_σ(J))^¼ ≈ τ_I / τ_J |
The lattice on the right expands while the graph of reads on the left never changes. Statements and formulas come from Inflation without an inflaton: observer-screen synchronization (r2042). A primordial spectrum, recombination and any likelihood against sky data are absent.
Follow the complete readout from finite causal records into a smooth spacetime image, effective gravity, microscopic interactions, a black-hole lens and an observer-centred sky diagnostic.
No inflaton, no primordial spectrum and no sky likelihood. The profile enters only through the weight on records.
source and scope
What is drawn: σ_j profile, the σ_j⁴ weight, its sandwich bounds and the count-clock bracket.
package shared-physics-2026-09-10 · manifest sha256 ec364cad65eede46c7367badf480632e8e39899eedb3abfc883a651789149ff4