Log fleet_k_q48/fleet_conserved; K holds exactly, 775/775 ticks (FABRIC-3.md §XVIII)

doe_log.c's per-heartbeat-tick CSV gains two columns: fleet_k_q48
(vm_physics_fleet_heat_sum() over ALL live VMs -- the genuine fleet-wide
conservation invariant K, not reconstructable from the 3 named-Tripod-
member heat columns already logged, which omit every identity VM's own
heat) and fleet_conserved (vm_physics_conserved() as 0/1). Requested
explicitly after the first heartbeat-telemetry analysis pass
(analysis-20260912/) omitted K entirely.

Kernel rebuilt on all three architectures, full 3x9x3 campaign rerun
(results-20260912-with-k/). K = 1.0000000000 (Q48.16 raw 65536) on every
one of 775 heartbeat-tick observations, sd(K) = 0, 100% fleet_conserved,
across amd64/aarch64/riscv64, nine identities, three replicates -- zero
deviation. Also a free regression check on both recent Stadium fixes
(§XVI/§XVII): neither disturbed the reservoir-transfer accounting K
depends on.

Found and fixed a tooling wrinkle along the way: fleet_conserved, being
the CSV row's very last field with nothing after it to bound a regex
match, can have a resumed trial digit merge into it with zero separator
on the wire -- combine.py now derives it from fleet_k_q48 directly (same
epsilon vm_physics_conserved() uses) instead of trusting the raw field.
fleet_k_q48 itself is unaffected either way.

Full analysis, discussion, and light/dark SVG->PDF figures written up as
a proper LaTeX report (report-20260912/report/std79_doe_report.pdf),
following experiments/bare_metal/analysis/report/bare_metal_doe_report.tex's
established style -- supersedes analysis-20260912/'s markdown-only first
pass as the primary deliverable for this dataset (kept, not discarded).

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01EXieurDfDSsDFdnSyusuWo

src/starkernel/doe_log.c

@@ -10,7 +10,7 @@
 /**
  * doe_log.c — DoE CSV logger for the LithosAnanke kernel
  *
- * Emits 18-column CSV rows to the serial log once per heartbeat tick.
+ * Emits 20-column CSV rows to the serial log once per heartbeat tick.
  * Each row is prefixed with a cyan [HADES][DOE ] tag so it can be
  * extracted cleanly:
  *
@@ -35,6 +35,17 @@
  *   16. hera_heat_q48          uint64  — VM fleet physics: Hera's execution_heat_q48
  *   17. hermes_heat_q48        uint64  — VM fleet physics: Hermes's execution_heat_q48
  *   18. artemis_heat_q48       uint64  — VM fleet physics: Artemis's execution_heat_q48
+ *   19. fleet_k_q48            uint64  — "K": vm_physics_fleet_heat_sum() over ALL live
+ *                                        VMs (not just the 3 named Tripod members above --
+ *                                        this is the genuine conservation invariant, which
+ *                                        should read Q48_ONE (65536) whenever conservation
+ *                                        holds). Requested 2026-09-12 alongside the 3x9
+ *                                        factorial analysis in experiments/std79-doe/ --
+ *                                        columns 16-18 alone cannot reconstruct this since
+ *                                        they omit every identity VM's own heat.
+ *   20. fleet_conserved        uint32  — vm_physics_conserved() as 0/1: whether
+ *                                        |fleet_k_q48 - Q48_ONE| < VM_PHYSICS_EPSILON_Q48
+ *                                        at the moment this row was captured.
  *
  * Note: avg_word_heat and estimated_jitter_ns are stored as double in the
  * snapshot but the freestanding snprintf has no %%f support. avg_word_heat
@@ -71,7 +82,8 @@ static const char *doe_header =
     "hot_word_count,avg_word_heat_q48,"
     "window_width,actual_window_size,predicted_label_hits,jitter_bits,"
     "apic_ticks,time_trust_q48,variance_q48,vm_call_depth_max,"
-    "hera_heat_q48,hermes_heat_q48,artemis_heat_q48";
+    "hera_heat_q48,hermes_heat_q48,artemis_heat_q48,"
+    "fleet_k_q48,fleet_conserved";
 
 /* Looks up a Tripod VM's fleet heat by name; 0 if not currently registered
  * (e.g. between KILL and rebirth). */
@@ -110,7 +122,7 @@ void doe_log_tick_row(VM *vm, const HeartbeatTickSnapshot *snap)
     jitter_bits.d = snap->estimated_jitter_ns;
     uint64_t jitter_raw = jitter_bits.u;
 
-    /* Format the 18-column CSV row into a local buffer.
+    /* Format the 20-column CSV row into a local buffer.
      * Use %llu (unsigned long long) for all uint64_t fields — %lu is unreliable
      * for values > 2^32 on aarch64 due to mixed-width varargs ABI behaviour. */
     unsigned vm_call_depth_max = (vm && vm->call_stack_max > 0) ? (unsigned)vm->call_stack_max : 0;
@@ -118,10 +130,12 @@ void doe_log_tick_row(VM *vm, const HeartbeatTickSnapshot *snap)
     uint64_t hera_heat_q48    = doe_log_heat_by_name("Hera");
     uint64_t hermes_heat_q48  = doe_log_heat_by_name("Hermes");
     uint64_t artemis_heat_q48 = doe_log_heat_by_name("Artemis");
+    uint64_t fleet_k_q48      = vm_physics_fleet_heat_sum();
+    unsigned fleet_conserved  = vm_physics_conserved() ? 1u : 0u;
 
     char buf[DOE_BUF_SIZE];
     snprintf(buf, sizeof(buf),
-             "%u,%llu,%llu,%u,%u,%u,%llu,%llu,%u,%u,%u,%llu,%llu,%llu,%llu,%u,%llu,%llu,%llu",
+             "%u,%llu,%llu,%u,%u,%u,%llu,%llu,%u,%u,%u,%llu,%llu,%llu,%llu,%u,%llu,%llu,%llu,%llu,%u",
              snap->tick_number,
              (unsigned long long)snap->elapsed_ns,
              (unsigned long long)snap->tick_interval_ns,
@@ -140,7 +154,9 @@ void doe_log_tick_row(VM *vm, const HeartbeatTickSnapshot *snap)
              vm_call_depth_max,
              (unsigned long long)hera_heat_q48,
              (unsigned long long)hermes_heat_q48,
-             (unsigned long long)artemis_heat_q48);
+             (unsigned long long)artemis_heat_q48,
+             (unsigned long long)fleet_k_q48,
+             fleet_conserved);
 
     console_puts(DOE_PREFIX);
     console_puts(buf);