SSMT – Infrastructure, Fleet Dashboards, and Safe On-Device Streaming (7.5–7.8)

Purpose.
Sections 7.5–7.8 cover four rollout surfaces where Shunyaya Symbolic Mathematical Temperature (SSMT) becomes operational infrastructure: buildings/HVAC, high-density compute and utilities, high-stress and extreme-regime subsystems, and tiny edge devices that publish live symbolic payloads. The pattern is consistent: declare anchors, emit symbols, publish rules in symbol space, and do not let raw °C/°F drive machine actions.

7.5 Buildings and HVAC

Inputs.

  • Indoor and outdoor temperature streams.
  • A declared T_ref policy (for example, seasonal or diurnal-corrected) so “what counts as hot” is honest for that building.

Emit.

  • e_T_indoor, e_T_outdoor.
  • Optionally symbolic “degree-day” style budgets like S-CDD and S-HDD (cooling/heating excursions in symbol space).

Policy examples (symbol-only).

Comfort alarm:
  |e_T_indoor| >= 0.7
  for >= 15 min

Demand planning driver:
  Use S-CDD and S-HDD as inputs
  to forecast load — no raw °C/°F.

Why this matters: comfort, planning, and billing all point to the same symbolic story instead of three incompatible unit systems.

7.6 Utilities and data centers

Thermal stress shows up as lost efficiency, throttled performance, or lifetime damage. SSMT makes that stress measurable, comparable, and replayable.

Inputs.

  • Inlet and outlet temperatures per rack / zone / loop.
  • Localized thresholds for “too hot for this zone,” captured in the manifest, not buried in emails.

Emit.

  • e_T for each inlet or zone.
  • Optional a_T (bounded alignment dial in (-1,+1)) for dashboards that need a single “how stressed are we?” number.
  • Rolling volatility V_T over a recent window to capture instability.

Example symbolic policy.

Thermal excursion:
  e_T_inlet >= +0.6
  OR
  V_T(10 min) >= v*

Clear condition:
  e_T_inlet <= (+0.6 - E_hyst)
  for >= 10 min

Where:

  • v* is the declared volatility tolerance.
  • E_hyst > 0 is a published hysteresis gap so alerts don’t chatter.

Result: explainable throttling and explainable “all clear,” with no hidden scaling rules.

7.7 Extreme-regime subsystems (space, high-energy, cryogenic, high-stress skins)

Some subsystems live in regimes where classic “too hot / too cold” logic fails — cryogenic lines, radiation-exposed avionics, thermal skins under structural stress, etc. Here, lens selection is survival.

Inputs.

  • Subsystem-specific temperatures, often with totally different safe bands.
  • A published lens per subsystem:
    • beta for cold-sensitive cryo (emphasizes cold-side risk),
    • log for wide-span electronics and general thermal envelopes,
    • qlog near absolute zero (numerical safety while keeping e_T = 0 at T_ref),
    • kBT when you care about thermal drive vs activation energy.

Emit.

  • e_T per subsystem (each with its declared lens and anchors).
  • a_phase for propellant or structural transition states (“are we on the safe side of the pivot or the dangerous side?”).
  • a_T if pooling multiple sensors into one survivability dial.

Example symbolic policies.

Cryo fill inhibit:
  a_phase_prop <= -0.02
  OR
  e_T_beta >= E_cold*

Avionics hot alert:
  e_T >= +0.8
  for >= 5 min

Where E_cold* is a declared threshold for cold stress in that subsystem’s manifest.
No °C/°F needs to appear in the machine rule. The manifest already ties E_cold* back to physics.

7.8 Edge devices, firmware, and live payloads

This is where SSMT becomes the wire format, not just the idea.

On-device pipeline (copy-ready).

T_K = to_kelvin(T_raw, unit_raw)
T_K = max(T_K, eps_TK)           # Kelvin floor; publish eps_TK if non-default

e_T  = ln( T_K / T_ref )         # log lens (S1 default)

# Optional (emit only if allowed by manifest profile):
a_phase = tanh( c_m * ( (T_K - T_m) / DeltaT_m ) )

p_side  = 0.5 * ( 1 + tanh( k_side * (T_K - T_m) ) )
Q_phase = rho * Q_prev + (1 - rho) * clip(p_side, 0, 1)

a_T     = tanh( c_T * e_T )

Notes:

  • to_kelvin(...) normalizes °C/°F/K immediately, then enforces a Kelvin floor.
  • e_T is always zero-centered at the declared T_ref.
  • a_phase and Q_phase describe “which side of the survival pivot are we on” and “how long have we stayed there.”
  • a_T is an optional bounded stress dial in (-1,+1).

Minimal stable payload (S1 “Lite”).

{
  "timestamp_utc": "2025-09-24T12:00:00Z",
  "e_T": 0.0331,
  "manifest_id": "SSMT-CITY-2025-09-001",
  "health": { "range_ok": true, "sensor_ok": true, "drift": false },
  "oor": false
}

Phase-aware payload (S2).

{
  "timestamp_utc": "2025-09-24T12:00:00Z",
  "e_T": 0.0331,
  "a_phase": -0.12,
  "Q_phase": 0.31,
  "T_m_tag": "water",
  "manifest_id": "SSMT-COLDCHAIN-2025-09-007",
  "health": { "range_ok": true, "sensor_ok": true, "drift": false },
  "oor": false
}

Interpretation:

  • S1 is enough to unify thresholds across locations and eliminate °C/°F drift from machine logic.
  • S2 adds survivability dials (a_phase, Q_phase) with flicker resistance.
  • S3 (not shown here) can add a_T, pooling, and environment-driven gating.

Determinism rules.

  • timestamp_utc MUST be ISO-8601 with Z and strictly non-decreasing.
  • Samples MUST be emitted in order. If offline, buffer and forward in order — do not resample.
  • One lens per firmware profile. Do not switch lens mid-stream.
  • Every record MUST carry manifest_id. That manifest is the frozen recipe (lens, T_ref, pivots, clamps, ranges, hysteresis).

Safety guards on-device.
Before emitting any symbol, enforce the physical/numeric constraints already defined in earlier sections:

log / beta:  require T_K > 0 and T_ref > 0
linear:      require DeltaT > 0
kBT:         require E_unit > 0
qlog:        require T_ref > 0 and alpha > 0

Also:

if T_K is outside T_valid_range_K:
    health.range_ok = false
    oor = "below_min" | "above_max"
    # compute with saturated T_K_eff for stability,
    # but NEVER hide that it went out-of-range

Result: an edge device can speak SSMT natively — pure symbols, explicit math, timestamped truth, and fully auditable behavior.

Navigation
Previous: SSMT – Deployment Patterns: Inputs, Emits, and Safe Rules in Symbol Space (7.1–7.4)
Next: SSMT – Policy Snippets, Commissioning Checklists, and Rollout Strategy (7.9–7.12)

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