Stellar Gas Sandpile Graph Replay

Status: GRAPH_TOPPLING_PROXY

Decision: ADMIT_GRAPH_TOPPLING_PROXY_HOLD_PHYSICAL_SANDPILE_SIMULATION

This hardening pass turns the sandpile metaphor into a reproducible graph diagnostic. Nodes are sky/redshift cells. Edges are defined by sky-sector neighbors plus adjacent redshift bins. Grain and toppling values are diagnostic proxies derived from the existing cell-level toppling index.

Claim boundary: this is not a physical sandpile simulation, not a stellar-gas mechanism proof, not direct stellar mass, not gas density inference, and not a cosmology fit.

Replay Receipt

{
  "avalanche_sizes": [
    {
      "avalanche_size_cells": 10,
      "seed_cell": "ra02_north__z_008_plus",
      "terminated": true,
      "topple_events": 21
    },
    {
      "avalanche_size_cells": 10,
      "seed_cell": "ra02_south__z_008_plus",
      "terminated": true,
      "topple_events": 21
    },
    {
      "avalanche_size_cells": 10,
      "seed_cell": "ra03_north__z_008_plus",
      "terminated": true,
      "topple_events": 21
    },
    {
      "avalanche_size_cells": 10,
      "seed_cell": "ra03_south__z_008_plus",
      "terminated": true,
      "topple_events": 21
    },
    {
      "avalanche_size_cells": 10,
      "seed_cell": "ra04_north__z_008_plus",
      "terminated": true,
      "topple_events": 21
    }
  ],
  "created": "2026-05-10T04:07:14+00:00",
  "decision": "ADMIT_GRAPH_TOPPLING_PROXY_HOLD_PHYSICAL_SANDPILE_SIMULATION",
  "edge_count": 45,
  "graph_hash": "fdfc686a022b726f550f73ad663cd9e222122a1048193dd22dafee0d891c62af",
  "node_count": 25,
  "receipt_type": "stellar_gas_sandpile_graph_replay_receipt",
  "replay_hash": "95e938b7f6ed3a3c64af0fdaec45e9296316ae9e77b6b937aaa9ee16f7665393",
  "seed_avalanche_cell_count": 5,
  "seed_candidate_object_count": 911,
  "validated_outputs": [
    "shared-data/data/stellar_gas_observation/stellar_gas_sandpile_graph_replay.json",
    "shared-data/data/stellar_gas_observation/stellar_gas_sandpile_graph_replay_receipt.json",
    "6-Documentation/docs/stellar_gas_sandpile_graph_replay_2026-05-09.md",
    "6-Documentation/tiddlywiki-local/wiki/tiddlers/Stellar Gas Sandpile Graph Replay.tid"
  ]
}

Seed Evidence

avalanche cells:      5
candidate objects:    911
graph nodes:          25
graph edges:          45
graph hash:           fdfc686a022b726f550f73ad663cd9e222122a1048193dd22dafee0d891c62af
replay hash:          95e938b7f6ed3a3c64af0fdaec45e9296316ae9e77b6b937aaa9ee16f7665393

Toppling Threshold Table

cell	degree	threshold
`ra02_north__z_000_002`	3	4
`ra02_north__z_002_004`	4	5
`ra02_north__z_004_006`	4	5
`ra02_north__z_006_008`	4	5
`ra02_north__z_008_plus`	3	4
`ra02_south__z_000_002`	3	4
`ra02_south__z_002_004`	4	5
`ra02_south__z_004_006`	4	5
`ra02_south__z_006_008`	4	5
`ra02_south__z_008_plus`	3	4
`ra03_north__z_000_002`	4	5
`ra03_north__z_002_004`	5	6
`ra03_north__z_004_006`	5	6
`ra03_north__z_006_008`	5	6
`ra03_north__z_008_plus`	4	5
`ra03_south__z_000_002`	3	4
`ra03_south__z_002_004`	4	5
`ra03_south__z_004_006`	4	5
`ra03_south__z_006_008`	4	5
`ra03_south__z_008_plus`	3	4
`ra04_north__z_000_002`	2	3
`ra04_north__z_002_004`	3	4
`ra04_north__z_004_006`	3	4
`ra04_north__z_006_008`	3	4
`ra04_north__z_008_plus`	2	3

Initial Grain Table

cell	initial grains	index z proxy	seed objects
`ra02_north__z_000_002`	0	-0.949257801	0
`ra02_north__z_002_004`	0	-0.553842296	0
`ra02_north__z_004_006`	0	-0.41882282	0
`ra02_north__z_006_008`	2	0.228692003	0
`ra02_north__z_008_plus`	7	1.638406841	364
`ra02_south__z_000_002`	0	-1.463289664	0
`ra02_south__z_002_004`	0	-0.737986126	0
`ra02_south__z_004_006`	0	-0.194645543	0
`ra02_south__z_006_008`	5	0.953489356	0
`ra02_south__z_008_plus`	7	1.64578653	15
`ra03_north__z_000_002`	0	-0.368783497	0
`ra03_north__z_002_004`	0	-0.100706818	0
`ra03_north__z_004_006`	0	-0.372968233	0
`ra03_north__z_006_008`	3	0.353320701	0
`ra03_north__z_008_plus`	9	1.754659087	305
`ra03_south__z_000_002`	0	-1.161555303	0
`ra03_south__z_002_004`	0	-0.731256364	0
`ra03_south__z_004_006`	0	-1.186176214	0
`ra03_south__z_006_008`	0	-0.039293889	0
`ra03_south__z_008_plus`	7	1.726607707	8
`ra04_north__z_000_002`	0	-1.291360152	0
`ra04_north__z_002_004`	0	-0.333483573	0
`ra04_north__z_004_006`	0	-0.226002461	0
`ra04_north__z_006_008`	1	0.115968267	0
`ra04_north__z_008_plus`	6	1.71250026	219

Avalanche Sizes

seed cell	size cells	topple events	terminated
`ra02_north__z_008_plus`	10	21	`True`
`ra02_south__z_008_plus`	10	21	`True`
`ra03_north__z_008_plus`	10	21	`True`
`ra03_south__z_008_plus`	10	21	`True`
`ra04_north__z_008_plus`	10	21	`True`

Holds

HOLD_PHYSICAL_SANDPILE_SIMULATION
HOLD_STELLAR_GAS_MECHANISM_PROOF
HOLD_DIRECT_STELLAR_MASS
HOLD_DIRECT_GAS_DENSITY_INFERENCE
HOLD_COSMOLOGY_FIT

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