Interactive Chamber XXI (τ-MSC)

The interactive version of τ-MSC lives inside the UNNS Empirical Testing Laboratory v0.4.2. The iframe below opens the full Lab environment; scroll to Experiment 8: Chamber XXI — τ-Microstructure Spectral Chamber (τ-MSC) to run the chamber in real time.

Fig. 1. UNNS Empirical Testing Laboratory v0.4.2 (Phase IV). Chamber XXI appears as the featured microscopic panel set labelled “Experiment 8 — τ-Microstructure Spectral Chamber (τ-MSC)”.

1. Chamber Layout and τ-Field Storyboard

1.1 τ-Field Micro-Chamber — Radial Shells & τ-Curvature Bands

The first panel shows a stylized nuclear environment. A central τ-field nucleus sits at the origin, surrounded by concentric curvature bands. Bright arcs indicate regions of higher |κ(r)|, while a slowly rotating spiral encodes τ-torsion: the local twisting of the τ-field lines inside the micro-volume.

A single τ-probe follows a circular-plus-spiral orbit inside this structure. At each frame, the chamber evaluates the local τ-field strength and its gradient at the probe’s position, providing instantaneous estimates of κ and τ along the trajectory. These values are then used to drive the hyperfine spectrum, magnetization profile and diagnostics panel in a fully deterministic way.

1.2 Hyperfine Spectrum — Synthetic τ-Driven Lines

The second panel visualizes a synthetic hyperfine spectrum. Vertical lines play the role of hyperfine transitions; their intensities and small drifts are slaved to the τ-probe’s sampled curvature and torsion. A gently moving comb of lines emerges:

• line positions ≈ τ-tuned effective transition energies;
• line heights ≈ local |κ| along the probe orbit;
• slow horizontal drifts ≈ τ-torsion–induced shifts in the micro-field.

The language “RaF-like structure” in the Lab UI should be read as analogy rather than literal simulation: τ-MSC was developed as a general τ-field micro-chamber first, and only later cross-checked against the magnetization-distribution analysis in RaF for scale and shape intuition, not for parameter fitting.

1.3 B–W Profile — Effective Magnetization Distribution

The third panel implements a synthetic Bohr–Weisskopf (B–W) profile. Starting from a simple 1/r²-like falloff of effective nuclear magnetization, the chamber introduces:

• a central plateau, mimicking finite nuclear size;
• a shallow “bump” at intermediate radii, modelling penetration effects;
• τ-dependent modulations that couple back to the hyperfine spectrum.

The result is a τ-field analogue of magnetization distribution corrections: users can visually correlate changes in the B–W profile with shifts in the hyperfine panel and in the diagnostics readouts.

1.4 Diagnostics — ⟨κ⟩, ⟨τ⟩, E_eff

The fourth panel acts as a compact diagnostic dashboard. Three gauge-like arcs summarize:

• ⟨κ⟩ — the average magnitude of the τ-gradient along the probe orbit;
• ⟨τ⟩ — an oriented torsion indicator measuring how strongly the τ-field twists in the local frame;
• E_eff — a synthetic “effective energy” derived from the chamber configuration (a coarse proxy for the overall micro-field intensity).

These diagnostics are exactly the quantities exported in the τ-MSC JSON log: the Lab engine writes out the current values of kappa_avg, tau_avg and e_eff together with sampled spectrum lines and B–W profile points, making the microscopic panel fully scriptable from the outside.

2. Operating τ-MSC Inside the Lab

2.1 Controls and JSON Export

Inside the Lab, Chamber XXI exposes a minimal control surface:

• Start τ-MSC — begins the animation loop;
• Pause — freezes the current micro-configuration;
• Reset — clears all panels and zeroes the metrics;
• Export JSON — saves a τ-MSC snapshot with: τMSC_export_*.json payload containing timestamp, chamber id, κ / τ / E_eff and sampled spectrum + B–W arrays.

The JSON snapshots are designed to be drop-in inputs for downstream analysis: one can load them into Python, Julia or R to perform quantitative comparisons, e.g. fitting synthetic hyperfine splittings to analytic τ-field models or studying how E_eff clusters as a function of probe radius and torsion.

2.2 Relation to the Global Seed

τ-MSC lives under the same Global Seed and recursion controls as the other Lab experiments. Setting a fixed UNNS seed in the Global Setup panel ensures that the τ-field micro-texture, torsion spiral, and resulting spectra are exactly reproducible across sessions, allowing users to treat τ-MSC runs as genuine experimental “shots” inside the UNNS substrate rather than as one-off visualizations.

3. Conceptual Role of Chamber XXI in the UNNS Programme

Earlier Lab experiments in v0.4.2 focus on macroscopic questions: τ-convergence, curvature equilibria, β-flows and dimensionless constant emulation. Chamber XXI plays the complementary role of a microscopic τ-field sandbox:

• it localizes τ-field dynamics to a single nuclear-scale environment;
• it shows how τ-curvature and τ-torsion can be encoded into spectra and effective magnetization profiles;
• it exposes exportable diagnostics (⟨κ⟩, ⟨τ⟩, E_eff) that can be compared with macroscopic invariants such as η and τ* from other experiments.

In that sense, τ-MSC forms a bridge between the “global” τ-field of the Lab and a “micro-chamber” τ-field that could eventually be matched against concrete hyperfine systems. The current version deliberately avoids hard-wiring any particular molecule (YbF, SrF, …); instead it provides a general τ-field microstructure that can later be tuned toward specific experimental targets.

4. Outlook and Next Steps

Future τ-MSC releases can extend the current design in several directions:

• Seed-swept τ-MSC runs — scanning the Global Seed and correlating ⟨κ⟩, ⟨τ⟩, E_eff with Rees-like constants from Experiments 5 and 7.
• Multi-probe chambers — introducing multiple τ-probes at different radii to study interference patterns in the synthetic hyperfine spectrum.
• Direct RaF / other-molecule overlays — importing real hyperfine data as a reference layer on top of the synthetic spectrum, preserving the clean τ-field core while testing how far it can be pushed toward actual spectroscopy.
• Chamber XXI → Operator-level hooks — piping τ-MSC diagnostics into Operator XII / τ-Field protocols to study how collapse channels behave when conditioned on micro-structure rather than only on global invariants.

For now, Chamber XXI should be read as a microscopic narrative inside the broader UNNS Lab: a place where τ-curvature, τ-torsion and hyperfine-like observables are all visible at once, in a single, reproducible τ-field vignette.