[Cosmology] Instantiate the source-screen spectrum receipts on one finite DAG

[muellerberndt]

Scope

The conditional screen-spectrum and radial-lift mathematics is fixed by #330.
This issue owns one finite source instantiation. One hash-locked source DAG must
emit the geometric screen field, primitive collar release law, release
amplitude, infinitesimal reserve generator, conformal precision, physical radial
uniqueness branch, null-space report, and transfer firewall.

The finite construction is a bounded self-reading OPH system: collar patches
expose local state and boundaries, record their readbacks, apply declared repair
or release moves, and publish the evidence bundle consumed by each receipt.

Common evidence

• Quotient-visible volume Jacobian, homogeneous background, mass matrix, and
  monopole/dipole projector.
• Primitive collar constraint ledger, base measure, solved release law, support,
  multipliers, and refinement maps.
• Pooled quadratic release energy and source amplitude.
• Source-emitted full-collar infinitesimal reserve density, orientation-half
  identity, semigroup defect, and source-facing tilt.
• Detailed-balanced scalar Dirichlet operator, conformal gamma-ratio precision,
  positivity, normalization, anisotropy, and refinement residuals.
• Source stress, single clock, freezeout surface, background-curvature status,
  physical scale, density of states, and common physical mode basis.
• Raw normalized radial window, singular spectrum, right-null basis, resolution
  kernels, positivity, and non-fitting forward residual.
• Dependency audit proving that no measurement, residual, likelihood, posterior,
  fit, or data-calibrated proxy is an ancestor.
• Transfer firewall that keeps physical temperature and polarization claims
  false until the independent transfer and likelihood gates pass.

Physical radial branch

Exactly one uniqueness branch must pass.

Source dilation

• Scale-labelled cofinal source-refinement orbit.
• Unitary source embedding onto the physical rank-one adiabatic subspace.
• Finite commuting square between source refinement and physical
  log-wavenumber dilation.
• Equal source and physical covariance naturality residuals.
• Strong covariance, dilation, and inverse-dilation convergence on one safe-band
  Hilbert space.
• Uniform covariance norm bound, safe-band leakage control, and negative
  controls.
• Exact thin-shell Mellin receipt or finite-window kernel receipt.

Radial tomography

• Complete radial cross-covariances. Auto-spectra alone fail this branch.
• Declared radial basis and measure.
• Finite spherical-Hankel transform and unitarity residual.
• Positive recovered multiplication spectrum.
• Refinement convergence and reconstruction on held-out radii or windows.

A finite prior or regularizer is typed as a conditional radial continuation and
cannot satisfy the source-derived promotion gate.

Acceptance

• Every common receipt passes on one source DAG and names its finite evidence
  artifact.
• Exactly one physical radial uniqueness branch passes.
• The reserve generator is an emitted derivative; a one-step survival value
  uses its logarithmic exponent.
• Amplitude reduction pools sufficient statistics before division by the
  mode count.
• The unrestricted radial null space is published on the one-dimensional
  source-dilation branch as well.
• Every negative control fails.
• The public simulator and paper-stack status agree.
• Temperature and polarization stay outside this issue.

Dependencies

• Conditional theorem packet: [Cosmology] Conditional source-screen spectrum and primordial lift #330.
• Finite reserve-generator and clock certificate: [Cosmology] Emit the finite edge-center generator and clock certificate #522.
• Physical Einstein geometry is subject to [Einstein branch] Construct and certify one source-derived typed tower #503 wherever the source run consumes
  that geometry.

Downstream

Physical temperature and polarization transfer is tracked in #580.