A quick map of the blog, then the one-minute essence
0I — What is inside this blog (preview)
Canon quick start. The two-lane numeral x := (m,a) with a in (-1,+1) and collapse parity phi((m,a)) = m; the clamp→rapidity→compose→inverse pattern; the U/W fuse so stream == batch == shuffled.
Lens library & manifest. How to declare lenses, scales (c and Unit), weights (w := |m|^gamma), bands, clamps, division policy, dtype, and knobs_hash for reproducibility.
Walk-throughs & pseudocode. Beam pick, RAG ranking, tools/agents branching, evaluator routing—each using a single bounded chooser RSI in (-1,+1) (and RSI_env := g_t * RSI).
Cross-domain adapters. Patterns for decoding, search, retrieval/citation, evaluators, ensembles; how domain packs (e.g., SSM-Audit, SSM-Chem) plug in without changing m.
Acceptance & QA. Calculator-fast checks for collapse parity, order invariance, clamp safety, gate purity, division policy, and band hysteresis.
Stamping & ledger. One-line ASCII stamp and day/week roll-ups using SSM-Clock; shard merges via additive (U,W).
Governance & safety. Guardrails, manifest discipline, rollback/escalate paths that keep phi((m,a)) = m inviolable.
Economics & rollout. Pilot-to-portfolio steps; measuring retries↓, hand-offs↓, time-to-first-correct↑, audit clarity↑.
Appendices. Operator table, worked vectors, templates, and fixed-point (SSMH) parity notes.
Reading paths. Strategic (10 min), Engineering (30–60 min), Evaluation/Safety (30 min).
0J — One-minute elevator summary
Zero-Infra adoption. Observation only: phi((m,a)) = m. The kernel is clamp → atanh → add → tanh with a tiny manifest. API-safe by emitting m where one number is required.
Core idea (one screen of math).
# Numeral and collapse
x := (m, a) # a in (-1,+1)
phi((m,a)) = m # numbers remain identical
# Clamp → rapidity → inverse
a_c := clamp(a, -1+eps_a, +1-eps_a)
u := atanh(a_c)
a := tanh(u)
# Order-invariant fuse (U/W mean in u-space)
U += w*atanh(a); W += w
a_out := tanh( U / max(W, eps_w) )
# Single chooser (lens → align → RSI)
RSI := tanh( (V_out - U_in) / max(W_in, eps_w) )
RSI_env := g_t * RSI # alignment-only gate
Cost impact (conservative, stamp-verifiable).Annual_Savings ≈ S_base * r_save, with r_save in [0.10, 0.20], from fewer retries/tokens, calmer loops, and smarter vendor mix—without changing m.
Drop-in surfaces.
Decoding (pick by RSI_env), RAG (pool doc alignments, route by RSI), tools/agents (throttle via g_t), evaluators (route by band), ensembles (cross-vendor pooling). Everywhere: phi((m,a)) = m.
Time & audit (one line).
SSMCLOCK1|iso_utc|rasi_idx|theta_deg|sha256(file)|chain
Adoption steps.
Publish the lane; add bands and RSI/RSI_env; stamp outputs. Result: faster choices, calmer loops, cleaner audits, lower waste—same numbers, now with bounded clarity.
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SHUNYAYA 