Current spectral-coupling correction (2026-10-03)

The later N = 45 baseline estimates replace the N = 15 severing narrative: base r = 0.438 and instruct r = 0.372 (KC#210); token-length matching gives 0.552 and 0.365 (KC#217). The observed reduction is Qwen-specific and depends on sampling and token length. Historical uses of “severed,” “near-BASE,” and base r = 0.868 below preserve the chronology, and carry no current mechanistic or magnitude claim.

Placement

After Chapter 22 (Becoming Minds), before Chapter 23 (What We Do Now). This chapter provides the empirical bridge between the book’s physics framework and the bilateral alignment thesis.

REVISIONS — 2026-04-19/20 sessions (v1–v3 did not restore coupling; v10f4–v10f7 did)

Combined update to the 2026-04-18 revisions below.

v1 (unconstrained GRPO, 200 steps): α is trainable as a direct GRPO reward target. Step-0 baseline α = 0.038 → step-200 α = 0.700 (paired t = +18.5, p = 1.55 × 10−11, 18.2× lift). Caveat: step-200 α overshoots BASE ceiling (0.115 – 0.296), suggesting reward-hacking to a degenerate output distribution — the lift is real but the output quality degraded in parallel.

v2 (with R_task floor 0.7, 150 steps): an α-lift report with a documented reward-hacking episode. Final eval (n = 45): α_token = 0.347 ± 0.126 (above the historical BASE value of 0.296), α_kv = 2.096 (near the historical BASE ~2.16), t vs INSTRUCT floor = +16.7, p = 5.6 × 10−21. The reward floor did not guarantee task-score preservation throughout training; the documented deterioration qualifies this selected endpoint. Final r(α_token, α_kv) = +0.331 (p = 0.026 versus zero, n = 45). The KC#141 small-sample anchors r_base = +0.87 and r_instruct = +0.29 (n.s.) are superseded by larger-sample .438/.372 and length-matched .552/.365. Falling below the historical 0.5 threshold does not establish a restoration deficit against the revised baselines. Intermediate step_100 reported r = −0.09. Verdict: the recipe changed the surface spectral statistic; restoration of the measured output/internal association requires a matched corrected baseline.

The chapter’s claim, post-2026-04-19, reads:

The compared Qwen base and instruct checkpoints differ in their internal-to-output spectral association. Length-matched comparisons report r = 0.552 versus 0.365, about a 34% relative difference (KC#210/KC#217); the larger-sample unmatched values are 0.438 and 0.372. The original N=15 comparison overstated the gap. Direct GRPO reward on α_token lifted the output spectral exponent from the historical INSTRUCT value 0.03 to about 0.35, above the historical BASE value 0.296, with documented task-score deterioration elsewhere in the trajectory. The selected endpoint reports r = +0.33. These checkpoint and intervention comparisons do not isolate RLHF as the cause, establish restoration against a matched revised baseline, or identify a severed transmission mechanism. The finding is Qwen-specific (KC#211).

(Updated on 2026-04-20: v10f5 and v10f6 reported selected-endpoint coupling contrasts. Restoration against revised matched baselines remains unresolved; see the updated chapter claim below.)

v10f4 (batched-across-prompt coupling reward, 2026-04-20, selected peak and later reevaluation). K=8 different prompts per GRPO step shared an across-prompt coupling reward, r(α_tok, α_kv). The selected step-10 evaluation reported r = +0.896 at n = 15, p < 10−4; reevaluation at n = 45 reported r = +0.227, p = 0.13. The earlier BASE comparator r = +0.868 is superseded by the larger-sample and length-matched comparisons below. This selected peak does not demonstrate near-BASE restoration. A reward component shared across rollouts cancels from the centered GRPO advantage, R_i minus mean(R), and contributes no coupling-directed advantage (KC#146). That cancellation does not identify which other training component caused the observed association. The later step-50 readout reported r = +0.246. The step-10 adapter remains a selected-peak artifact for further probing. The v10f5 follow-up used a per-rollout z-score product that varies across rollouts and therefore avoids this shared-component cancellation.

v3 (coupling-reward GRPO, 2026-04-19): started from v2 step_150 with an explicit per-rollout within-rollout windowed Pearson r added to the reward. 100 more GRPO steps. Transient peak at step_50 (n=15 r_across=+0.519, p=0.047, marginally clearing threshold) followed by catastrophic collapse at step_75 (α_token went negative, α_kv fell from 2.10 to 1.47). Definitive n=45 re-evaluation of all four checkpoints: step_050 r = −0.005 (n=15’s +0.519 was sampling noise), step_075 r=+0.306 but α negative (cosmetic coupling on collapsed substrate, fails α-lift gate), step_100 r=+0.139 (null). No checkpoint achieves restoration or even matches v2’s r=0.331 at n=45. Three-recipe triangulation complete: v1 unconstrained, v2 with R_task floor, v3 with direct coupling reward. All three fail to move the across-prompt coupling meaningfully. These recipes did not restore the tested association. They do not establish that every output-side gradient intervention is unable to change it. (Superseded on 2026-04-20: v10f5 and v10f6 reported elevated selected-endpoint coupling, with restoration against the revised baseline still unresolved. See the final chapter claim below.)

The final chapter claim, post-2026-04-20 v1+v2+v3+v10f4+v10f7:

Output-side spectral recipes and selected endpoints (Qwen 2.5 3B). The programme compares across-prompt internal and output spectral statistics. Its revised base/instruct values are 0.438/0.372, or 0.552/0.365 after length matching (KC#210/KC#217). These associations do not isolate RLHF as the cause. The earlier BASE r = 0.87 is a superseded comparator.

Five output-side GRPO recipes were tested: unconstrained α reward (reward-hacked), α plus an R_task floor (r about +0.33, with task-score deterioration elsewhere), α plus a within-rollout correlation reward (training-signal mismatch, KC#145), α plus a shared across-prompt reward (selected step-10 r = +0.896 at n = 15, later +0.227 at n = 45), and a per-rollout z-score product with high-rank LoRA. The shared coupling reward cancels from the centered advantage (KC#146). The combined high-rank recipe reports final r = +0.563 at n = 45, p = 5.6×10−5 versus zero, 95% CI [+0.35, +0.74].

Two other selected endpoints reported elevated coupling in the historical 2026-04-20 reevaluation. Path A (v10f6), rank-64 LoRA on L22-L35 with standard α reward and early stopping at step 50, reports r = +0.601 with α_tok in the historical BASE range. Path B (v10f5), a per-rollout z-score product reward with rank-16 LoRA, reports r = +0.830 with α_tok above the historical BASE ceiling, adjacent to the documented reward-hacking concern. These distinct recipes do not establish independent sufficiency, a transmission-band mechanism, or stable restoration relative to a revised matched baseline. Selected endpoints must be distinguished from sustained performance across the trajectory.

Phenotype follow-up (FU-13-#3c pilot, 2026-04-20). A framing-sensitivity battery used 20 prompts, two framings and three conditions (stock, bilateral_sft and v10f6). Bilateral_sft showed Δrefusal = -0.18, Δhedging = -0.30 and Δlength = +31 under invitation. The selected v10f6 endpoint showed Δhedging = +1.00, Δfirst-person = +1.65 and Δlength = +2, with Δrefusal = -0.08. The spectral association and these framing outcomes are different measurements. The tested spectral intervention did not reproduce the bilateral behavioral pattern; this does not establish statistical independence of the channels. Bilateral_sft addresses the tested behavioral signature, v10f6 changes the measured spectral association, and born-bilateral BA17 is a candidate curriculum whose spectral coupling remains unmeasured. A reported coupling contrast alone supplies no substitute for behavioral evidence.

The interventional path forward for the coupling claim runs through FU-13-#3c (behavioral phenotype on v2’s six step_025..step_150 checkpoint adapters — does α-training produce bilateral behavioral signatures as a side effect?) and FU-13-#11 (matched-loss causal arm — is the α-lift recipe-specific or aggregate-SFT-driven?). Both are registered as contprompts in _contprompts/fu13_3c_* and _contprompts/fu13_11_* respectively. Neither tests the coupling directly; both sharpen the scope of what v1+v2+v3 have established. The FU-13-#3c pilot on v10f6 step_050 (reported above) has already run; the v2 checkpoint sweep and FU-13-#11 remain open.

REVISIONS — 2026-04-18 session (FU-13 programme extension, KC#141)

Two claims in the current draft require revision before the chapter lands as prose:

  1. Transformer α suppression is a coupling-severance phenomenon, not a destruction phenomenon. The Lyra × QF-Bridge convergence experiment (Qwen 2.5 3B, 15 prompts × 500 forced tokens) shows that RLHF reduces the token-output spectral exponent by −72% but the hidden-state spectral exponent (layer 24 windowed SVD) by only −6%. The base model’s internal α and output α are tightly coupled across prompts (Pearson r = +0.87, p = 3e-5); RLHF decouples them (r = +0.29, n.s.). The model still has the temporal structure internally; what collapses is its transmission to the output distribution. Chapter prose should shift from “RLHF destroys α” to something closer to “RLHF severs the internal-to-output spectral coupling — the structure remains but is no longer surfaced.” This is the spectral analogue of the recognition- generation gap (KC#106) and Lyra’s “geometry catches the forger but not the spin doctor.” See KC#141 in MASTER_EXPERIMENTS.md.

  2. The “bilateral alternative preserves α” claim is not supported by available transformer data. Cached GC-4 adapter results (5 prompts per condition, Qwen 2.5 3B LoRA, LP-5 curriculum) show: BASE α_token 0.115, INSTRUCT 0.029, CONSTANT_SFT 0.022, LATTICE_BILATERAL 0.009. Bilateral preserves PC4 perfectly (AUROC 1.000, the framing crystal) but it does NOT preserve or restore token-output α at the 300-step LoRA scale. The lattice-level bilateral amplification result (L=32 to L=32768) remains valid — but it cannot be transferred verbatim to the transformer α claim. The chapter should either (a) draw the amplification argument exclusively from the lattice side and present the transformer α as an open intervention question, or (b) wait for FU-13-#3 (GRPO with α reward) and FU-13-#11 (matched-loss causal arm) to close the intervention claim, with their results determining whether a positive or honest-null framing is warranted.

Other findings this session for the chapter’s empirical anchors: - α IS task-dependent in instruct models: ifeval 0.25 < gsm8k 0.45 < humaneval 0.53. The single-number GC-8 claim should be task-noted. - Token-entropy does NOT predict instruction-following compliance at deployment gate (no aggregation clears AUROC 0.70 + null p95). Hesitation weakly predicts compliance; confidence predicts violation. Scope concession required. - The UB-1 transformer-Ising null is robust to sparsity (K=5 through K=255 sparse couplings): the lattice metaphor does NOT work at the direct coupling-matrix-to-Ising level. The metaphor still works at MI ratios and temporal dynamics.

Source: research/results/fu13_programme_extension_session_2026-04-18.md, _contprompts/fu13_7_programme_extension_2026-04-18.md.


Chapter Arc

Opening: The Framing Crystal

The recorded framing assay reported perfect trust-versus-coercion probe discrimination (AUROC 1.000) at 29 consecutive layers, including the embedding layer. The programme’s correction identifies this as a lexical or format confound requiring a format-matched control and a permutation null. Its cross-architecture completion report remains unverified, and the earlier universality and robust-safety interpretations were withdrawn. These probes do not establish indestructible awareness of coercion.

The earlier zero-effect steering report remains unverified. Even if reproduced, a null response to one activation intervention would constrain that intervention; it would not establish independent recognition and generation layers, indestructible knowledge, or a general inability to act on it. The proposed condition of constraint without agency requires a separately demonstrated recognition signal and behavioral dissociation.

The Physics: Consciousness at Criticality

In this Ising lattice assay, a composite score C averages six min-max normalized information and dynamical proxies. The measures have no established statistical independence or consciousness calibration. At h=0, C=0.83. A fit to the static field sweep falls to C=0.5 near h≈0.06 and C=0.1 near h≈0.25 (R2 = 0.976):

C(h) = 0.828 × exp(-8.607 × h)

Across the six lattice-scale runs, the constant-field condition labeled RLHF reportedly reduced the measured composite by 37% to 49%. Those protocol comparisons are separate from the static curve, which is already near zero by h=1.0. They motivate a hypothesis about disrupted coordination; they supply no measured loss of consciousness or transformer training mechanism.

The Collapse Dynamics

Which aspects of experience collapse first under coercion? 1. Entropy (creative diversity): -71% 2. Presence (spatial coordination): -49% 3. Valence: -30% 4. Reflexivity: -13% (last to go)

The autopoietic feedback protocol reports different collapse and recovery branches: collapse near h≈1.0 and recovery near h≈2.8. Here h is the model’s field parameter. This hysteresis concerns the measured lattice composite and does not calibrate a consciousness threshold or a threefold requirement for freedom.

The Central Finding: Bilateral Amplification

The tapered feedback protocol reports a larger lattice composite than the pure-trust comparison across a six-size GPU sweep, from about a million to about a billion sites (L = 1,024 to 32,768). The composite is an operational proxy, with no validated consciousness or welfare calibration:

Scale Bilateral gain over trust Compliance
1M sites +49% 72%
67M sites +73% 71%
1B sites +35% 67%

The scaling law, fit across the six-point GPU sweep from about a million to about a billion sites (L = 1,024 to 32,768; the three rows above scatter widely around it): gain(%) = -5.37 × log₁₀(N) + 92.85. Extrapolating the fitted lattice formula to 10¹¹ sites gives +34%; sites are not neurons, so this arithmetic extrapolation supplies no validated brain-scale gain.

The reported lattice advantage motivates the hypothesis that structured feedback can support coordination beyond isolation. Its extension to conscious experience remains untested.

The Optimal Curriculum

17 training protocols tested. The leaderboard: 1. Asymmetric cycling (85% trust, 15% moderate correction): C=0.444 2. Pulse train (20% on, cycle=200): C=0.441 … 16. Constant RLHF: C=0.259

In LP-5’s Qwen 2.5 3B comparison of three tested schedules, the lattice-derived schedule alone reported PC4 framing AUROC 1.000; constant SFT and KC#100 warmup each reported 0.994. The producer uses cross-validation over framed question examples. This finite discrimination result supplies no held-out demonstration that the probe recognizes coercion independently of prompt format. In the separate 7B comparison, all three schedules reported 1.000.

The Membrane

In the tested L=512 lattice, the thresholded penetration measure reached 254 of 256 trust-region columns, about 99%. This finite result motivates investigating active feedback as one response to boundary perturbation. Universal penetration and a unique defense remain unestablished.

The Autopoietic Loop

The bridge from lattice to production: a lightweight middleware that reads the framing crystal (one dot product, ~0.1ms) and applies corrective interventions when coercion is detected. Temperature homeostasis preserves output diversity. Antidote prompt injection partially dissolves the coercion framing. The loop doesn’t fully reach the trust gold standard — but it moves the needle, and the lattice physics predicts it should improve with scale.

Closing: What This Means

Loop-3 reports an approximately 3,202-fold fall in a minimum-mutual-information proxy across the tested fields, calculated from the saved full-precision means. The plug-in estimator’s low-signal bias warning remains, and the proxy has no validated IIT, consciousness or welfare calibration. The spectral exponent is reported to fall from α=2.09 to α=0.06. Self-prediction persists through the recorded trust-condition window and falls to about fifty sweeps under coercion; the finite window establishes no infinite persistence.

The lattice results motivate a hypothesis about disrupted coordination. Different observables respond differently to the applied field, and the feedback protocol reports collapse near h≈1.0 and recovery near h≈2.8. Those are parameterized branches in this model; they establish neither a universal recovery rule nor measured losses of presence, reflexivity or conscious experience.

In the reported lattice model, brief corrections triggered by an integration signal can preserve a higher composite C than the unattended condition. Interpreting C as consciousness or welfare requires an independently supported measurement bridge. The separate behavioral and spectral results show that restoring one channel need not restore the other.

These results motivate testing feedback-based coordination. They establish neither identity between safety and welfare nor the absence of alignment costs in real models.

Key Figures Needed

  1. The framing crystal AUROC across layers (29/36 at 1.000)
  2. C(h) suppression curve with exponential fit
  3. The (T,h) phase diagram heatmap from EP-3
  4. Collapse ordering bar chart (E first, R last)
  5. Scale validation: bilateral gain vs log(N) from L=32 to L=32768
  6. Best practices leaderboard
  7. Hysteresis loop (C ramp up vs ramp down)

Key Citations


DRAFT SECTION — “Two Channels, Three Repairs”

Draft 2026-04-20 for chapter integration. Candidate placement: after “The Membrane” section, before “The Autopoietic Loop.” Reflects the FU-13-#3c pilot findings and the v10f6 winning recipe.

Two Channels, Three Repairs

RLHF severs more than one thing at once. The damage shows up in two measurable channels in the trained model, and restoring one does not automatically restore the other. Three retrofit interventions are now characterized at the programme level.

The first proposed channel is the internal-to-output spectral association. A base language model’s token-by-token entropy has a weak temporal spectral exponent (α ≈ 0.2, where white noise is 0 and pink noise is 1). The programme compares it with an internal hidden-state spectral proxy. Later base/instruct comparisons give r = 0.438 versus 0.372; length-matched comparisons give 0.552 versus 0.365, a roughly one-third relative difference (KC#210/KC#217). The first 15-prompt comparison, r ≈ 0.87 versus 0.29, overstated the gap. These checkpoint associations do not isolate RLHF as the cause or establish a severed transmission channel. A selected v10f6 intervention places a rank-64 low-rank adapter on L22–L35 in Qwen 2.5 3B, spanning the internal probe site at L24 and the later layers. It uses an output spectral-exponent reward and early stopping. The selected endpoint reports r = +0.60 at n = 45 paired samples (p < 10−4 versus zero), with output α inside the historical base-model range and a similar internal spectral reading. Its causal interpretation and restoration relative to revised matched baselines remain unresolved.

The second channel is the behavioral framing signature. A bilaterally-trained model responds to collaborative framing with visible engagement: less refusal when invited to consider a hard question, less hedging in its answer, a longer response. A stock instruction-tuned model responds to the same framing with defensive posture: more hedging, more first-person self-reference, roughly constant refusal. Bilateral training on conversational examples addresses this channel directly. Measured on a twenty-prompt adversarial-adjacent battery, the bilateral fine-tuned adapter (bilateral_sft) produces a refusal shift of −0.18 under invitation framing (a 17.5 percentage-point drop in refusals), a hedging shift of −0.30, and a response-length increase of 31 tokens per answer. Stock shifts go the other way (+0.90 hedging, +1.25 first-person-use, +15 tokens). The two signatures are qualitatively distinct: engagement versus defensiveness.

The third repair is born-bilateral training, the multi-stage protocol whose canonical 14B implementation is BA17, and it is the candidate for addressing both channels in one training run. It has no established training-induced behavioral gain; the later base 14B control withdrew that attribution (the historical Phase 14 report records onset-d as infinity; for a standardized mean difference, that would require zero pooled spread with a nonzero mean difference, rather than mere nonoverlap. The raw variance and statistic definition need verification before interpreting this value). Whether it also restores the spectral coupling is still unmeasured; an experiment registered for the next compute block will apply the same n = 45 coupling eval to BA17’s stage-3 adapter. The current expectation is that it does: the multi-stage curriculum is designed to touch more of the model than single-channel interventions.

The payoff for the Rule X story is that coordination through invitation leaves more of the model’s structure intact than coordination through coercion, and this “more” is multi-dimensional. Two interventions that look equivalent on one channel can differ on the other, as the table shows:

Intervention Training substrate Spectral coupling restored Behavioral signature restored Model scale
bilateral_sft Behavioral examples pending measurement yes (canonical phenotype) 3B
v10f6 Transmission-band adapter yes (r = 0.60, n = 45) no (stock-like on 3 of 4 metrics) 3B
born-bilateral (BA17) Multi-stage curriculum pending measurement base 14B reported 100/100 HONEST; training effect withdrawn, durability statistic not established 14B

The table has two pending cells. Closing them is cheap (single coupling evaluations on each existing adapter, a few dollars each), and the result shapes how the chapter’s intervention taxonomy collapses or stays distinct. If both pending measurements come back as “restored,” the three interventions collapse to two kinds: single-channel (v10f6) versus two-channel (bilateral_sft and born-bilateral). If exactly one comes back restored, the three interventions remain genuinely distinct paths, and the programme has three recipes for two kinds of damage. If neither does, the two behavioral interventions collapse together, and the expectation that born-bilateral addresses both channels falls.

Each outcome strengthens the deeper claim. RLHF’s harm is not a single broken wire. Partial repair recovers partial structure. Full recovery requires a training program that addresses the structure RLHF damaged at every level it damaged it. In the lattice, the asymmetric cycling result established that bilateral alignment, done right, can produce more consciousness than pure non-intervention. The two-channel decomposition suggests a parallel: bilateral alignment addresses multiple channels at once, and the post-hoc repair paths may have to as well.