#!/usr/bin/env python3 """Receipt for using the Merkle-tensegrity lattice as a four-force probe geometry.""" from __future__ import annotations import hashlib import json from pathlib import Path from typing import Any REPO = Path(__file__).resolve().parents[2] SHIM = REPO / "4-Infrastructure" / "shim" SOURCE = SHIM / "merkle_tensegrity_load_equation_receipt.json" OUT = SHIM / "four_force_geometry_probe_prior_receipt.json" CURRICULUM = SHIM / "four_force_geometry_probe_prior_curriculum.jsonl" def stable_json(obj: Any) -> str: return json.dumps(obj, sort_keys=True, separators=(",", ":"), ensure_ascii=True) def sha256_text(text: str) -> str: return hashlib.sha256(text.encode("utf-8")).hexdigest() def build_receipt() -> dict[str, Any]: source = json.loads(SOURCE.read_text(encoding="utf-8")) receipt: dict[str, Any] = { "schema": "four_force_geometry_probe_prior_v1", "source_receipt": str(SOURCE.relative_to(REPO)), "source_receipt_hash": source["receipt_hash"], "source_merkle_root": source["merkle"]["root"], "primary_read": ( "Use the braced Merkle-tensegrity cube as a probe geometry for force " "separation. Gravity is a direct external load. Electromagnetism governs " "material bonding, thermal response, sensing, and print actuation. Strong " "interaction appears only as a material binding baseline at this scale. Weak " "interaction appears as a radiation/transmutation boundary, not a printable " "load actuator." ), "four_force_mapping": { "gravity": { "active_in_harness": True, "equation_slot": "p_i^G = [0, 0, m_i g]", "geometry_role": "external body load and support reaction driver", "measurable_proxy": ["mass_per_node", "gravity", "support_reactions", "residual_norm_l2"], "print_control_status": "directly modeled as load", }, "electromagnetic": { "active_in_harness": "implicit", "equation_slot": "K_material, thermal_window, bonding_energy, sensor_field", "geometry_role": "stiffness, adhesion, heat flow, actuator/sensor coupling", "measurable_proxy": ["material_batch", "temperature", "extrusion/flow", "conductivity", "sensor_digest"], "print_control_status": "dominant real-world print/material force but not yet solved in toy harness", }, "strong": { "active_in_harness": False, "equation_slot": "E_binding_material_baseline", "geometry_role": "nuclear binding baseline behind material mass and atomic stability", "measurable_proxy": ["material isotope/specification only if relevant"], "print_control_status": "not a geometry control knob for ordinary 3D printing", }, "weak": { "active_in_harness": False, "equation_slot": "R_decay_or_radiation_guard", "geometry_role": "radioactive decay/transmutation boundary condition", "measurable_proxy": ["radiation/isotope safety status only if relevant"], "print_control_status": "not a load actuator; safety guard only", }, }, "probe_state_16d": [ "x", "y", "z", "mass_density", "gravity_load_z", "lateral_load_x", "lateral_load_y", "edge_force_density_q", "support_reaction", "print_density_rho", "em_stiffness_or_thermal_state", "material_binding_baseline", "radiation_decay_guard", "equilibrium_residual", "merkle_phase_commitment", "closure_margin", ], "probe_equations": { "force_sum": "p_i = p_i^G + p_i^EM + p_i^strong_baseline + p_i^weak_guard", "gravity_load": "p_i^G = [0, 0, m_i g]", "mechanical_closure": "sum_j q_ij(x_i - x_j) + p_i^G + r_i + p_i^EM ~= 0", "em_material_placeholder": "p_i^EM := thermal/material/sensor correction term pending calibration", "strong_baseline": "p_i^strong_baseline := 0 at macro geometry scale; enters material constants only", "weak_guard": "p_i^weak_guard := 0 unless radioactive/transmutation boundary is active", "closure_margin": "margin = epsilon_mech - ||R_mech||_2", "commitment": "M_root = MerkleRoot(H(node/edge/support/force records))", }, "what_it_says_now": [ "the current toy harness is mostly a gravity-plus-mechanics probe", "the bracing result shows geometry controls whether lateral disturbance can close", "EM must be the next real extension because printability is material/thermal/bonding dominated", "strong and weak should remain material/safety metadata unless the experiment involves nuclear/radiological regimes", "the 16D lift is useful as a typed probe-state vector, not as sixteen physical spatial dimensions", ], "next_probe_steps": [ "add calibrated material stiffness and thermal expansion terms as the EM lane", "add material batch metadata for binding baseline rather than pretending to actuate strong force", "add radiation/isotope safety guard as a weak-force boundary if relevant", "compare residual and Merkle roots across gravity-only, gravity+EM, and failed unbraced geometries", ], "failure_rules": [ "treating all four forces as equally active in a desktop 3D print -> overclaim", "using strong/weak forces as geometry knobs without nuclear/radiological model -> invalid", "calling Merkle commitment a force measurement -> invalid", "adding 16D axes without typed semantics -> bookkeeping noise", "EM material lane omitted in real print safety claim -> hold", ], "claim_boundary": ( "This is a probe-state prior for separating force roles in a toy lattice. " "It is not a unified-field result, not a structural safety certificate, and " "not evidence that strong or weak interactions are controllable by this geometry." ), } receipt["receipt_hash"] = sha256_text(stable_json(receipt)) return receipt def write_curriculum(receipt: dict[str, Any]) -> None: rows = [ { "task": "classify_force_lane", "input": "gravity, electromagnetism, strong, or weak term in lattice probe", "target": "external load, material/thermal lane, binding baseline, or safety guard", }, { "task": "build_16d_probe_state", "input": "node geometry, load, stress, material, residual, Merkle data", "target": "typed 16D probe vector with no untyped axes", }, { "task": "reject_force_overclaim", "input": "claim that toy print lattice probes all four forces directly", "target": "gravity direct, EM next extension, strong/weak metadata or guard only", }, ] CURRICULUM.write_text( "".join(json.dumps(row, sort_keys=True) + "\n" for row in rows), encoding="utf-8", ) def main() -> None: receipt = build_receipt() OUT.write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n", encoding="utf-8") write_curriculum(receipt) print(json.dumps({ "receipt": str(OUT.relative_to(REPO)), "curriculum": str(CURRICULUM.relative_to(REPO)), "receipt_hash": receipt["receipt_hash"], "source_receipt_hash": receipt["source_receipt_hash"], "probe_state_dimensions": len(receipt["probe_state_16d"]), }, indent=2, sort_keys=True)) if __name__ == "__main__": main()