How to ship SSMT in the real world — safely, simply, and with proof.
10.0 SSMT in one paragraph
Shunyaya Symbolic Mathematical Temperature (SSMT) turns temperature into a stable symbolic language.
You take raw readings, convert once to Kelvin, and encode them into e_T — a unitless contrast around a declared anchor such as T_ref. You optionally add a_phase (freeze/melt dial around a physical pivot T_m) and a_T (a bounded dial of overall “how hot above normal”), plus simple flags like health.range_ok and oor. Every stream carries a manifest that declares the chosen lens, anchors, guard bands, and clamps. From that point on, monitoring, alerting, routing, dashboards, safety triggers, policy, and audit all happen in symbol space.
Result: no retuning rules per unit, no guessing what “too hot” means at each site, and instant replayability.
Impact: one symbolic layer for safety, compliance, analytics, and ML — without touching the core physics.
10.1 For adopters (external): what to ship first
Start small, ship fast, stay honest.
Step 1: Emit S1 (Lite)
Emit:
{ timestamp_utc, e_T, manifest_id }
Add health flags if available:
health.range_ok, health.sensor_ok, health.drift
oor if out of declared range
Step 2: Add S2 when freezing matters
Add:
a_phase (or a_phase_fused for multi-pivot materials)
Q_phase (soft hysteresis memory dial driven by rho, k_side)
Now you can express “freeze risk” and “clear” using symmetric symbolic bands.
Step 3: Add S3 only when needed
Add:
a_T := tanh( c_T * e_T )
Use this bounded dial for dashboards, pooled fleet rolls, or ML priors.
You MAY also apply pooling:
a_pool = tanh( mean(atanh(a_i)) )
to summarize many sensors safely.
Golden rule:
All alert logic and routing stays symbolic.
°C/°F MAY appear on screens for human comfort,
but machine logic MUST act only on symbols.
Typical machine-facing policy snippets (symbol space):
HEAT_ADVISORY:
e_T >= +E_hot for >= T_hot_min
COLD_ADVISORY:
e_T <= -E_cold for >= T_cold_min
FREEZE_RISK:
a_phase <= -Phi_freeze for >= T_freeze_min
CLEAR_*:
dwell-based clear using hysteresis bands
(for example, e_T <= +E_hot - E_hyst for >= T_clear)
Always apply the Kelvin floor after unit conversion:
T_K = max( T_K , eps_TK )
and publish eps_TK if it is not the default.
Impact: you can begin with e_T plus a manifest and already be standards-grade.
10.2 For maintainers (internal): implementation checklist
Internal owners keep the system reproducible and auditable.
Tests:
• Run Tier S1 tests in CI.
- Unit invariance.
- Lens domain guards for log / linear / beta / kBT.
- If hybrid is used: tau > 0 and correct branch swap.
- If qlog is used: alpha > 0 and zero at T_ref.
- Clamps for a_T and a_phase.
- Phase symmetry around T_m.
- Soft-hysteresis evolution (rho, k_side).
- Validity/saturation rules.
- Pooling bounds.
- Kelvin floor present.
Manifests:
• Freeze one lens for the entire run.
• Publish anchors (T_ref, DeltaT, etc.).
• Publish T_valid_range_K.
• Attach manifest_id to every record.
• Optionally include manifest_hash.
• Record resolved_lens once per run; it MUST NOT change mid-run.
Policies:
• Declare thresholds and dwell in symbol space (E_hot, Phi_freeze, etc.).
• Keep rationale text for each threshold.
Governance:
• No mid-run lens changes.
• Version manifests.
• Any new field MUST be optional and backward-friendly.
Evidence:
• Maintain a short empirical appendix (for example, flicker reduction near freeze bands, threshold portability across sites).
• Keep these results tied to the exact manifest_id and manifest_hash in archive.
Impact: operations gains traceability, legal review gains replayability, and engineering gains clean upgrade paths.
10.3 Path to standardization (roadmap)
A practical route from “first internal trial” to “recognized profile.”
Phase 1 — Starter kit
• Publish minimal reference code:
to_kelvin
encode_eT for log | linear | beta | kBT | hybrid | qlog
a_phase
clamp_a
pooling
+ JSON schema for manifests
• Include golden vectors (Tier S1).
• Include a tiny CLI harness.
• Document knobs:
tau (hybrid),
alpha (qlog),
eps_TK (Kelvin floor),
eps_a (clamp for a_T / a_phase),
eps_w (pooling floor).
• Provide a Policy Pack:
E_hot, E_cold, Phi_freeze, E_hyst, dwell windows.
• Include accessibility and privacy notes:
ASCII-only formulas,
alt-text guidance,
explicit invertibility notice for e_T.
Phase 2 — Pilot deployments
• Weather / environmental ops with S1 (just e_T) and public advisory-style symbols.
• Cold-chain / handling with S2 (a_phase + Q_phase) and documented pivots.
• Compute / infrastructure / rack cooling with S3 (a_T + pooling).
• Optional edge cases:
cryogenic regimes use beta or qlog.
Document tau / alpha.
Phase 3 — Evidence & conformance
• Run Tier S1 tests in CI for every pilot.
• Store manifest hashes and golden outputs.
• Report KPIs in symbol space:
- reduction in unit-based incident confusion,
- freeze flicker reduction via hysteresis,
- threshold portability across sites using fixed E_hot / E_cold.
• Capture privacy posture and accessibility posture for audit.
Phase 4 — Community registry
• Host a registry of manifests:
- lens choice,
- knobs,
- hash / fingerprint,
- domain tags.
• Accept submissions of symbol-only telemetry + manifest for evaluation.
• Keep an append-only log of lens decisions and golden vectors.
Phase 5 — External alignment
• Present KPIs, manifests, and rulesets to standards bodies.
• Reserve field names and lens semantics so “e_T” means the same thing everywhere.
• Maintain backward compatibility: new fields are optional, and deprecations get long notice.
Governance rhythm:
• Quarterly spec review.
• Accessibility & privacy audit.
• Check that no team slipped into unit-based logic in production.
• Confirm no mid-run lens switches without a new manifest_id.
Impact: SSMT becomes a stable, auditable profile instead of yet another internal one-off script.
10.4 Release checklist (copy-ready)
Before announcing a new spec release or rolling to a new site, walk through this list:
[ ] Tag the document spec version (for example, v2.3) and schema version "1.1".
[ ] Publish example manifests for S1, S2, S3.
[ ] Publish golden test vectors.
[ ] Ship a minimal reference harness:
to_kelvin,
encode_eT,
a_phase,
clamps,
pooling.
[ ] Run CI on target hardware / pipeline.
- Archive CI output.
- Record manifest_hash.
- Record resolved_lens.
[ ] Announce deprecation timelines for any field you plan to phase out.
[ ] Ship a Policy Pack:
E_hot,
E_cold,
Phi_freeze,
E_hyst,
dwell times T_*,
eps_TK (if not default).
Impact: anyone new can reproduce your symbols, understand your safety bands, and see how long older fields will still be honored.
10.5 Changelog template (copy-paste)
Use this format to record what changed, why it matters, and how to migrate.
SSMT v2.3 — YYYY-MM-DD
Spec:
Non-breaking update with four targeted deltas.
Schema:
Schema version "1.1" unchanged.
Addition 1 — Smooth Hybrid lens (continuity-safe)
e_T = s * ln( T_K / T_ref ) + ( 1 - s ) * ( (T_K - T_ref) / DeltaT )
s = 1 / ( 1 + exp( -( abs( T_K - T_ref ) - tau ) / width ) )
Addition 2 — Normalized multi-pivot fusion
z_i = c_m_i * ( (T_K - T_m_i) / DeltaT_m_i )
W = max( sum_i w_i , eps_w )
z_bar = (1 / W) * sum_i( w_i * z_i )
a_phase_fused = tanh( z_bar )
Addition 3 — Adaptive hysteresis (rho by noise)
sigma_T = std( T_K[t-W+1:t] )
sigma_norm = sigma_T / DeltaT_m
rho = clip( 1 - exp( - sigma_norm / sigma0 ) ,
rho_min ,
rho_max )
Q_phase = rho * Q_{t-1} +
(1 - rho) * clip( p_side , 0 , 1 )
Addition 4 — Privacy modes and starter manifests
Addendum J (P0 raw, P1 quantized, P2 DP-lite; anchors policy)
Addendum K (M1/M2/M3 deployment classes)
Cross-referenced in Section 2 for optional privacy / gating blocks.
Impact: this structure makes it obvious which ideas are optional upgrades (like multi-pivot fusion) versus core guarantees (like Kelvin floor and clamps).
10.6 Version matrix (clarity for everyone)
Keep these labels straight to avoid confusion during handoff:
Document spec:
Describes the symbolic method and rules (for example, v2.3).
This is the human-readable spec.
Manifest / schema version:
Schema label such as "1.1".
This is what devices and services emit/ingest.
Compliance level:
S1 / S2 / S3.
S1 = e_T only.
S2 = add a_phase (+Q_phase).
S3 = add a_T and pooling.
All three must be stated together when you sign off a deployment.
Example:
"We deployed S2 under schema '1.1' following document spec v2.3."
Impact: legal, ops, engineering, and audit can all point to the same three-part string and know exactly what was shipped.
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