#!/usr/bin/env python3 """Receipt-backed Gaussian splat manifold projection probe. Gaussian splatting is useful for this stack as a visible-chart representation: each splat is a local projected patch with anisotropic uncertainty, opacity, payload, residual, and receipt pointer. The splat field is not the whole manifold; it is an observer-bound shadow atlas over a richer object. """ from __future__ import annotations import hashlib import json from datetime import datetime, timezone from pathlib import Path from typing import Any REPO = Path(__file__).resolve().parents[2] OUT_DIR = REPO / "shared-data" / "data" / "gaussian_splat_manifold_projection" REGISTRY = OUT_DIR / "gaussian_splat_manifold_projection_registry.json" RECEIPT = OUT_DIR / "gaussian_splat_manifold_projection_receipt.json" SUMMARY = OUT_DIR / "gaussian_splat_manifold_projection.md" TIDDLER = REPO / "6-Documentation" / "tiddlywiki-local" / "wiki" / "tiddlers" / "Gaussian Splat Manifold Projection.tid" SOURCE_REFS = [ REPO / "shared-data" / "data" / "observer_chart_projection_guardrail" / "observer_chart_projection_guardrail_receipt.json", REPO / "shared-data" / "data" / "kerr_like_load_witness_geometry" / "kerr_like_load_witness_geometry_receipt.json", REPO / "shared-data" / "data" / "hutter_torsion_clock_adaptation" / "hutter_torsion_clock_adaptation_receipt.json", REPO / "shared-data" / "data" / "mmff_rigid_body_geometry" / "mmff_rigid_body_geometry_receipt.json", REPO / "6-Documentation" / "docs" / "specs" / "PROJECTABLE_GEOMETRY_COMPRESSOR_SPEC.md", REPO / "6-Documentation" / "docs" / "specs" / "OMINDIRECTION_LOGOGRAM_DESIGN_AND_COMPILER.md", ] CITATIONS = [ { "id": "kerbl_3d_gaussian_splatting", "title": "3D Gaussian Splatting for Real-Time Radiance Field Rendering", "url": "https://arxiv.org/abs/2308.04079", "role": "external_rendering_anchor", "status": "external_reference", }, { "id": "huang_2d_gaussian_splatting", "title": "2D Gaussian Splatting for Geometrically Accurate Radiance Fields", "url": "https://arxiv.org/abs/2403.17888", "role": "external_surface_geometry_anchor", "status": "external_reference", }, ] def stable_json(obj: Any) -> str: return json.dumps(obj, sort_keys=True, separators=(",", ":"), ensure_ascii=True) def sha256_bytes(data: bytes) -> str: return hashlib.sha256(data).hexdigest() def hash_obj(obj: Any) -> str: return sha256_bytes(stable_json(obj).encode("utf-8")) def rel(path: Path) -> str: try: return str(path.relative_to(REPO)) except ValueError: return str(path) def file_hash(path: Path) -> str | None: return sha256_bytes(path.read_bytes()) if path.exists() else None def source_ref(path: Path) -> dict[str, Any]: return {"path": rel(path), "exists": path.exists(), "sha256": file_hash(path)} def splat_route( *, route_id: str, observer_chart: str, source_manifold: str, splat_kind: str, payload: str, residual_declared: bool, receipt_pointer: bool, observer_scope_declared: bool, global_truth_claim: bool, unsafe_expansion: bool = False, ) -> dict[str, Any]: admissible = ( residual_declared and receipt_pointer and observer_scope_declared and not global_truth_claim and not unsafe_expansion ) if unsafe_expansion: decision = "QUARANTINE_UNSAFE_SPLAT_EXPANSION" elif global_truth_claim: decision = "HOLD_SPLAT_GLOBALIZED" elif not residual_declared or not receipt_pointer: decision = "HOLD_SPLAT_RESIDUAL_OR_RECEIPT_MISSING" elif admissible: decision = "ADMIT_SPLAT_OBSERVER_CHART" else: decision = "HOLD_SPLAT_SCOPE_MISSING" item = { "route_id": route_id, "observer_chart": observer_chart, "source_manifold": source_manifold, "splat_kind": splat_kind, "payload": payload, "local_atom": { "mu": "projected_center", "sigma": "anisotropic_covariance_or_surface_disk", "alpha": "opacity_or_witness_confidence", "c": "color_material_semantic_payload", "R": "residual_or_receipt_pointer", }, "residual_declared": residual_declared, "receipt_pointer": receipt_pointer, "observer_scope_declared": observer_scope_declared, "global_truth_claim": global_truth_claim, "unsafe_expansion": unsafe_expansion, "admissible": admissible, "decision": decision, } item["route_hash"] = hash_obj({k: v for k, v in item.items() if k != "route_hash"}) return item def build_registry() -> dict[str, Any]: routes = [ splat_route( route_id="organic_periodic_table_relevance_splats", observer_chart="organic chemist chart", source_manifold="periodic table chemical manifold", splat_kind="semantic_2d_splat", payload="carbon-centered relevance field plus declared residual for non-organic chemistry", residual_declared=True, receipt_pointer=True, observer_scope_declared=True, global_truth_claim=False, ), splat_route( route_id="kerr_like_load_state_splats", observer_chart="mechanical witness chart", source_manifold="torsion-coupled load admissibility manifold", splat_kind="state_atlas_splat", payload="safe chart, ergoregion, horizon, and failure-core patches", residual_declared=True, receipt_pointer=True, observer_scope_declared=True, global_truth_claim=False, ), splat_route( route_id="hutter_codec_torsion_splats", observer_chart="compression accounting chart", source_manifold="corpus/code/protocol receipt-state manifold", splat_kind="byte_debt_splat", payload="replay, provenance, packet, dictionary, baseline, receipt, and route-coupling fields", residual_declared=True, receipt_pointer=True, observer_scope_declared=True, global_truth_claim=False, ), splat_route( route_id="mmff_material_shadow_splats", observer_chart="molecular/material geometry chart", source_manifold="16D chemistry/body state projected to 3D coordinate shadow", splat_kind="geometry_shadow_splat", payload="local coordinate/material/strain patch with MMFF adapter surfaces in HOLD", residual_declared=True, receipt_pointer=True, observer_scope_declared=True, global_truth_claim=False, ), splat_route( route_id="photoreal_splat_claimed_as_truth", observer_chart="visual rendering chart", source_manifold="unobserved physical scene and material state", splat_kind="radiance_splat", payload="photoreal projection without residual or observer boundary", residual_declared=False, receipt_pointer=False, observer_scope_declared=False, global_truth_claim=True, ), ] return { "schema": "gaussian_splat_manifold_projection_registry_v1", "citations": CITATIONS, "source_refs": [source_ref(path) for path in SOURCE_REFS], "claim_boundary": ( "Gaussian splat manifold projection only. Splats are local visible-chart " "atoms over a richer manifold. They may render or summarize an observer " "projection, but they do not prove global truth without residuals, receipts, " "and observer scope." ), "canonical_statement": ( "A splat field is a shadow atlas: useful, compact, and renderable, but " "admissible only when each patch declares its observer scope, residual, " "and receipt pointer." ), "projection_equation": "pi_observer(Omega) ~= sum_i G_i(mu_i,Sigma_i,alpha_i,c_i,R_i) + residual", "admissibility_equation": ( "A_splat=1[observer_scope_declared] * 1[residual_declared] * " "1[receipt_pointer] * 1[not global_truth_claim] * 1[not unsafe_expansion]" ), "encoding_rule": { "splat_atom": "mu + Sigma + alpha + payload + residual/receipt pointer", "projection_role": "visible chart patch, not invariant manifold", "hutter_role": "render byte-debt/provenance regions as diagnostic splats; canonical byte gates still decide", "safety_role": "splat can summarize risk regions but cannot certify safety alone", }, "routes": routes, "aggregates": { "route_count": len(routes), "admit_splat_chart_count": sum(1 for item in routes if item["decision"] == "ADMIT_SPLAT_OBSERVER_CHART"), "hold_count": sum(1 for item in routes if item["decision"].startswith("HOLD")), "quarantine_count": sum(1 for item in routes if item["decision"].startswith("QUARANTINE")), }, } def build_receipt(registry: dict[str, Any]) -> dict[str, Any]: receipt = { "schema": "gaussian_splat_manifold_projection_receipt_v1", "generated_at_utc": datetime.now(timezone.utc).isoformat(), "timestamp_role": "metadata_only", "generated_at_utc_included_in_receipt_hash": False, "registry": rel(REGISTRY), "registry_hash": hash_obj(registry), "citations": registry["citations"], "aggregates": registry["aggregates"], "decision": "ADMIT_GAUSSIAN_SPLAT_OBSERVER_CHART_PRIMITIVE", "claim_boundary": registry["claim_boundary"], } receipt["receipt_hash"] = sha256_bytes( stable_json({k: v for k, v in receipt.items() if k not in {"receipt_hash", "generated_at_utc"}}).encode("utf-8") ) return receipt def write_summary(registry: dict[str, Any], receipt: dict[str, Any]) -> None: lines = [ "# Gaussian Splat Manifold Projection", "", f"Decision: `{receipt['decision']}` ", f"Receipt hash: `{receipt['receipt_hash']}`", "", registry["claim_boundary"], "", "## Canonical Statement", "", registry["canonical_statement"], "", "## Equations", "", f"- Projection: `{registry['projection_equation']}`", f"- Admit: `{registry['admissibility_equation']}`", "", "## Encoding Rules", "", ] for key, value in registry["encoding_rule"].items(): lines.append(f"- `{key}`: {value}") lines.extend( [ "", "## Routes", "", "| Route | Splat kind | Observer chart | Decision |", "|---|---|---|---|", ] ) for item in registry["routes"]: lines.append(f"| `{item['route_id']}` | `{item['splat_kind']}` | {item['observer_chart']} | `{item['decision']}` |") lines.extend(["", "## Citations", ""]) for citation in registry["citations"]: lines.append(f"- `{citation['id']}`: {citation['title']} ({citation['url']}); role: `{citation['role']}`") lines.extend(["", "## Source Refs", ""]) for source in registry["source_refs"]: lines.append(f"- `{source['path']}` exists: `{source['exists']}`") SUMMARY.write_text("\n".join(lines) + "\n", encoding="utf-8") def write_tiddler(receipt: dict[str, Any]) -> None: text = f"""created: 20260509000000000 modified: 20260509000000000 tags: ResearchStack Encoding GaussianSplat Projection Receipt title: Gaussian Splat Manifold Projection type: text/vnd.tiddlywiki ! Gaussian Splat Manifold Projection Durable runner: ``` 4-Infrastructure/shim/gaussian_splat_manifold_projection_probe.py ``` Receipt: ``` {rel(RECEIPT)} ``` Receipt hash: ``` {receipt['receipt_hash']} ``` !! Doctrine A splat field is a shadow atlas. It is useful, compact, and renderable, but it is not the whole manifold. ``` G_i = (mu_i, Sigma_i, alpha_i, c_i, R_i) pi_observer(Omega) ~= sum_i G_i + residual ``` Each splat must carry observer scope, residual declaration, and receipt pointer before it can be used as an admissible chart atom. !! Links * [[Observer Chart Projection Guardrail]] * [[Kerr-Like Load Witness Geometry]] * [[Hutter Torsion Clock Adaptation]] * [[MMFF Rigid Body Geometry]] """ TIDDLER.write_text(text, encoding="utf-8") def main() -> int: OUT_DIR.mkdir(parents=True, exist_ok=True) registry = build_registry() receipt = build_receipt(registry) REGISTRY.write_text(json.dumps(registry, indent=2, sort_keys=True) + "\n", encoding="utf-8") RECEIPT.write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n", encoding="utf-8") write_summary(registry, receipt) write_tiddler(receipt) print( json.dumps( { "registry": rel(REGISTRY), "receipt": rel(RECEIPT), "summary": rel(SUMMARY), "tiddler": rel(TIDDLER), "receipt_hash": receipt["receipt_hash"], "decision": receipt["decision"], "aggregates": registry["aggregates"], }, indent=2, sort_keys=True, ) ) return 0 if __name__ == "__main__": raise SystemExit(main())