The 'one continuous life' telos had three built pieces (turn loop, Shape B+ resume,
idle_tick learning) but no process holding the engine alive+learning over uptime. This
adds that heartbeat loop: chat/always_on.run_continuous ticks idle_tick on a cadence so
the engine LIVES and LEARNS even when no one is talking to it, READS (never repairs) the
closure invariant as evidence each beat, and persists so the life survives interruption
and resumes as the SAME life.
Proven by 3 falsifiable soak tests (non-vacuous): lives (closure observed + held, real
field excited, ~7x under the 1e-6 ceiling); learns while idle (Step-D consolidation
DERIVES and STORES member(socrates,mortal) during idle — absent before the heartbeat,
present after); converges (saturated life stops churning); survives interruption as the
SAME life (strict identity guard enforces it on reboot + the consolidated STORED record
survives, not mere re-derivation); never repairs (field byte-identical after the run).
Safety by composition, no new authority: idle_tick stays proposal-only (HITL untouched)
+ sound proof-gated SPECULATIVE session-memory consolidation; closure owned by
algebra/versor.py (heartbeat only reads versor_condition — no hot-path repair).
Adversarial 3-reviewer panel: no-hot-path-repair PASS, wrong=0 PASS; the panel's
proof-quality findings are fixed — removed the tautological identity_continuous claim
(engine identity is config-derived, invariant by construction), reframed the resume test
to prove ACCUMULATED learning survived (stored record, not re-derivation) under the strict
identity guard, surfaced final_checkpoint_ok (no silent swallow), and softened the
docstring (this is the heartbeat LOOP a daemon runs; the daemon shell is a follow-up).
Scope: the reusable loop ships; a production daemon (CLI entry, real cadence, signals)
is a thin follow-up. Purely additive (no existing file touched).