SSM-Clock—Media, Robotics & JTK Interop (6.4–6.6)

6.4 Audio / media / tempo

Goal. Beat/loop alignment without SMPTE or wall time.

Cycles. bar length (e.g., 4 beats), beat length, measure groups → convert to symbolic phases.

Use.

# Inputs: bar_phase_deg, beat_phase_deg, ...
tau_hat_days = SSM_Clock( bar_phase_deg , beat_phase_deg , ... )

# Snap loops by mapping tau into the bar grid
T_bar_days = P_bar_days                       # period of a bar in days-equivalent
x_bar = (tau_hat_days % T_bar_days) / T_bar_days
quantize_to_bar( x_bar )

# Gate auto-quantize by confidence if available
if confidence < 0.5:
    reduce_quantize_strength()

Notes.

  • No timestamps required. All alignment comes from phases.
  • Keep everything ASCII; export only the snapped offsets and (optionally) confidence.

6.5 Robotics / control (gait phase consensus)

Idea. Multiple joint encoders → per-joint phases → recover a shared gait “now.”

Use.

tau_hat_days, conf = SSM_Clock( hip_phase , knee_phase , ankle_phase , ... )
gait_period_days   = P_gait_days

if conf >= 0.8:
    x = (tau_hat_days % gait_period_days) / gait_period_days
    s = sin( 6.283185307179586 * x )
    c = cos( 6.283185307179586 * x )
    schedule_footfall( s , c )    # downstream controller
else:
    fall_back_to_pid()

Notes.

  • Missing encoders: stacking + gentle alpha_i keep the estimate steady.
  • Do not re-tune physics on the fly; keep the manifest frozen.

6.6 Interop with SSM-JTK (supervisory gate)

Role. Use (tau_hat, conf) to gate very-slow correctors in SSM-JTK (do/not update).

Policy (ASCII).

if (conf >= 0.9) and residuals_small():
    allow_update_of_slow_terms()
else:
    freeze_slow_terms()   # do not "learn" when the clock is uncertain

Notes.

  • This keeps long-horizon corrections stable without ephemeris or wall time.
  • Publish residuals and confidence for audit; leave magnitudes untouched.

Navigation

Back: SSM-Clock—Integration Patterns (6.1–6.3)
Next: SSM-Clock—Deployment, APIs & Privacy (6.7–6.9)