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H_i = L_info_i; L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))", "features": { "entropy_bits_per_byte": 3.9079104949984367, "normalized_entropy": 0.4884888118748046, "printable_ratio": 1.0, "repetition_rate_4gram": 0.5580258978744197, "transition_rate": 0.6503052503052503 }, "magnetic_domain": { "H_field": 3.888724447109567, "chi_susceptibility": 0.5829869244627877, "coercive_loss": 1.288724447109567, "domain_wall_pressure": 0.18455870486166126, "heat_loss": 0.3756713640498602, "information_load": 3.888724447109567, "magnetization_M": 0.7366253954244888, "overflow": 0.638724447109567, "overflow_gate": 0.41184126308317526, "remanence": 0.8746132402046382 }, "sha256": "db4d6d67e0b61db05dab8476fba960ecf9ffdd3b76583d8a0ea0c629be09bf0e", "status": "overflow" }, { "bytes": 4096, "chunk_index": 7, "equation_instance": "M_i = sigmoid(((chi_i * H_i) + R_i - 0.5 * C_loss_i) * G_over_i); H_i = L_info_i; L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))", "features": { "entropy_bits_per_byte": 3.7823189215189053, "normalized_entropy": 0.47278986518986316, "printable_ratio": 1.0, "repetition_rate_4gram": 0.632299047153677, "transition_rate": 0.6078144078144078 }, "magnetic_domain": { "H_field": 3.6975931841291265, "chi_susceptibility": 0.549809892465398, "coercive_loss": 1.0975931841291264, "domain_wall_pressure": 0.04896927867853851, "heat_loss": 0.20721161107141992, "information_load": 3.6975931841291265, "magnetization_M": 0.7813957124564133, "overflow": 0.4475931841291265, "overflow_gate": 0.5370536942500865, "remanence": 0.8876876217654969 }, "sha256": "15532640bf41406a811e52ee22a7fa0f89c8771ded863590c5860e865c95146b", "status": "overflow" }, { "bytes": 4096, "chunk_index": 8, "equation_instance": "M_i = sigmoid(((chi_i * H_i) + R_i - 0.5 * C_loss_i) * G_over_i); 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H_i = L_info_i; L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))", "features": { "entropy_bits_per_byte": 3.7835703357326675, "normalized_entropy": 0.47294629196658344, "printable_ratio": 1.0, "repetition_rate_4gram": 0.6379183972636208, "transition_rate": 0.6092796092796092 }, "magnetic_domain": { "H_field": 3.688938401677902, "chi_susceptibility": 0.5510015100976623, "coercive_loss": 1.0889384016779018, "domain_wall_pressure": 0.057277575968023076, "heat_loss": 0.20035417035377123, "information_load": 3.688938401677902, "magnetization_M": 0.7844611243769493, "overflow": 0.4389384016779019, "overflow_gate": 0.5435483211587546, "remanence": 0.8885667224785941 }, "sha256": "610244ce0502fb41e126b2cebca906c7ba5ab8161a524cb049436c5cef50a368", "status": "overflow" }, { "bytes": 4096, "chunk_index": 11, "equation_instance": "M_i = sigmoid(((chi_i * H_i) + R_i - 0.5 * C_loss_i) * G_over_i); H_i = L_info_i; L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))", "features": { "entropy_bits_per_byte": 3.8997165339230393, "normalized_entropy": 0.4874645667403799, "printable_ratio": 1.0, "repetition_rate_4gram": 0.5433667236745663, "transition_rate": 0.6568986568986569 }, "magnetic_domain": { "H_field": 3.915459605146814, "chi_susceptibility": 0.5878835560823316, "coercive_loss": 1.3154596051468137, "domain_wall_pressure": 0.22706386644818122, "heat_loss": 0.4013858377961909, "information_load": 3.915459605146814, "magnetization_M": 0.7307302128143967, "overflow": 0.6654596051468138, "overflow_gate": 0.3968291468155499, "remanence": 0.8716646286018876 }, "sha256": "7613994817678f4d20afffb5b223dfd729364a45dcd2713aeeb014e69c869e5c", "status": "overflow" }, { "bytes": 4096, "chunk_index": 12, "equation_instance": "M_i = sigmoid(((chi_i * H_i) + R_i - 0.5 * C_loss_i) * G_over_i); H_i = L_info_i; L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))", "features": { "entropy_bits_per_byte": 3.7624317419324544, "normalized_entropy": 0.4703039677415568, "printable_ratio": 1.0, "repetition_rate_4gram": 0.6408502321035915, "transition_rate": 0.6043956043956044 }, "magnetic_domain": { "H_field": 3.674474611038505, "chi_susceptibility": 0.5470160275696078, "coercive_loss": 1.074474611038505, "domain_wall_pressure": 0.07290925541597426, "heat_loss": 0.18907039047800517, "information_load": 3.674474611038505, "magnetization_M": 0.7874780830847334, "overflow": 0.42447461103850515, "overflow_gate": 0.5545778579891222, "remanence": 0.8890199427881944 }, "sha256": "f10dd2c80d8bfbd9bcb4984d195ab07a6edc8fe95d5bb2f34409e22f77c92ab9", "status": "overflow" }, { "bytes": 4096, "chunk_index": 13, "equation_instance": "M_i = sigmoid(((chi_i * H_i) + R_i - 0.5 * C_loss_i) * G_over_i); H_i = L_info_i; L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))", "features": { "entropy_bits_per_byte": 3.7908404920438286, "normalized_entropy": 0.47385506150547857, "printable_ratio": 1.0, "repetition_rate_4gram": 0.6359638407036403, "transition_rate": 0.609035409035409 }, "magnetic_domain": { "H_field": 3.6941373386318035, "chi_susceptibility": 0.5508031465355304, "coercive_loss": 1.0941373386318034, "domain_wall_pressure": 0.05385686333646267, "heat_loss": 0.20446411650664853, "information_load": 3.6941373386318035, "magnetization_M": 0.7828146219057122, "overflow": 0.4441373386318035, "overflow_gate": 0.5396376329526477, "remanence": 0.8882625134792045 }, "sha256": "4c64ec2ef1bc6e39beb8a733dbc8d2172482a21526a66ae5ce68473f5f235842", "status": "overflow" }, { "bytes": 4096, "chunk_index": 14, "equation_instance": "M_i = sigmoid(((chi_i * H_i) + R_i - 0.5 * C_loss_i) * G_over_i); H_i = L_info_i; L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))", "features": { "entropy_bits_per_byte": 4.096175150184791, "normalized_entropy": 0.5120218937730989, "printable_ratio": 1.0, "repetition_rate_4gram": 0.5406792084045932, "transition_rate": 0.6803418803418804 }, "magnetic_domain": { "H_field": 3.984814750875623, "chi_susceptibility": 0.6047637784659995, "coercive_loss": 1.384814750875623, "domain_wall_pressure": 0.2793253438745744, "heat_loss": 0.46999686015161396, "information_load": 3.984814750875623, "magnetization_M": 0.7176610041052233, "overflow": 0.7348147508756231, "overflow_gate": 0.36038728184000896, "remanence": 0.8711089417581207 }, "sha256": "a0c9cf0968e7d84370ba92ca9a582675e3a80c280e25a66008626b4a5301f472", "status": "overflow" }, { "bytes": 4096, "chunk_index": 15, "equation_instance": "M_i = sigmoid(((chi_i * H_i) + R_i - 0.5 * C_loss_i) * G_over_i); H_i = L_info_i; L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))", "features": { "entropy_bits_per_byte": 3.751515589868446, "normalized_entropy": 0.46893944873355575, "printable_ratio": 1.0, "repetition_rate_4gram": 0.7908624480820914, "transition_rate": 0.6351648351648351 }, "magnetic_domain": { "H_field": 3.394795537134441, "chi_susceptibility": 0.5714899092816818, "coercive_loss": 0.7947955371344411, "domain_wall_pressure": 0.3113952258345125, "heat_loss": 0.026377891443743036, "information_load": 3.394795537134441, "magnetization_M": 0.8812535230649288, "overflow": 0.14479553713444115, "overflow_gate": 0.8178266266642498, "remanence": 0.908137042564891 }, "sha256": "8172a2dbfa59c3db61b4e146825d550e442be8bc174f9fa11c49bd4ee15afb8a", "status": "overflow" }, { "bytes": 4096, "chunk_index": 16, "equation_instance": "M_i = sigmoid(((chi_i * H_i) + R_i - 0.5 * C_loss_i) * G_over_i); H_i = L_info_i; L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))", "features": { "entropy_bits_per_byte": 3.057542585119999, "normalized_entropy": 0.38219282313999986, "printable_ratio": 1.0, "repetition_rate_4gram": 0.9579770339604202, "transition_rate": 0.5152625152625152 }, "magnetic_domain": { "H_field": 2.625224223489669, "chi_susceptibility": 0.4674253202753167, "coercive_loss": 0.02522422348966913, "domain_wall_pressure": 0.88542903739581, "heat_loss": 0.0, "information_load": 2.625224223489669, "magnetization_M": 0.8944865247011483, "overflow": 0.0, "overflow_gate": 1.0, "remanence": 0.9229270037943339 }, "sha256": "5bb26d8fbcedca37266043cd24bede9fefa8c5f72ae9e7307001f9af35885e4d", "status": "within_capacity" }, { "bytes": 4096, "chunk_index": 17, "equation_instance": "M_i = sigmoid(((chi_i * H_i) + R_i - 0.5 * C_loss_i) * G_over_i); H_i = L_info_i; L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))", "features": { "entropy_bits_per_byte": 3.569433522454973, "normalized_entropy": 0.44617919030687164, "printable_ratio": 1.0, "repetition_rate_4gram": 0.8223796726117762, "transition_rate": 0.5775335775335775 }, "magnetic_domain": { "H_field": 3.230087653515728, "chi_susceptibility": 0.5244047446008503, "coercive_loss": 0.6300876535157278, "domain_wall_pressure": 0.48969219015639753, "heat_loss": 0.0, "information_load": 3.230087653515728, "magnetization_M": 0.908060060076767, "overflow": 0.0, "overflow_gate": 1.0, "remanence": 0.9113455207069833 }, "sha256": "eb1aea8ab20e8e3a6eb116cc32ef68a33462dac90bff253809a355d68f202ec8", "status": "within_capacity" }, { "bytes": 4096, "chunk_index": 18, "equation_instance": "M_i = sigmoid(((chi_i * H_i) + R_i - 0.5 * C_loss_i) * G_over_i); H_i = L_info_i; L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))", "features": { "entropy_bits_per_byte": 4.577131696323823, "normalized_entropy": 0.5721414620404779, "printable_ratio": 1.0, "repetition_rate_4gram": 0.778402150012216, "transition_rate": 0.7594627594627594 }, "magnetic_domain": { "H_field": 3.7044586283009746, "chi_susceptibility": 0.6559699607250777, "coercive_loss": 1.1044586283009745, "domain_wall_pressure": 0.03787878109891318, "heat_loss": 0.21270616026420122, "information_load": 3.7044586283009746, "magnetization_M": 0.8147660085184342, "overflow": 0.4544586283009746, "overflow_gate": 0.531957042911875, "remanence": 0.9068035885058519 }, "sha256": "dd5921d80c33db13dcf0239bea0078664c08ee5c44854452644c72ee2e6464a0", "status": "overflow" }, { "bytes": 4096, "chunk_index": 19, "equation_instance": "M_i = sigmoid(((chi_i * H_i) + R_i - 0.5 * C_loss_i) * G_over_i); H_i = L_info_i; L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))", "features": { "entropy_bits_per_byte": 3.875680133246034, "normalized_entropy": 0.4844600166557543, "printable_ratio": 1.0, "repetition_rate_4gram": 0.8463229904715368, "transition_rate": 0.6212454212454213 }, "magnetic_domain": { "H_field": 3.28436896224073, "chi_susceptibility": 0.5606045272695585, "coercive_loss": 0.6843689622407299, "domain_wall_pressure": 0.4501551384522311, "heat_loss": 0.001602050203575482, "information_load": 3.28436896224073, "magnetization_M": 0.9088953824801266, "overflow": 0.03436896224072994, "overflow_gate": 0.9533867158294083, "remanence": 0.9136370350051696 }, "sha256": "3ca585641a2fd4d50c2459dee5c3fdb287de530c25cbaa0a68d3c8d26acc55df", "status": "overflow" }, { "bytes": 4096, "chunk_index": 20, "equation_instance": "M_i = sigmoid(((chi_i * H_i) + R_i - 0.5 * C_loss_i) * G_over_i); H_i = L_info_i; L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))", "features": { "entropy_bits_per_byte": 4.050346311288002, "normalized_entropy": 0.5062932889110002, "printable_ratio": 1.0, "repetition_rate_4gram": 0.8433911556315661, "transition_rate": 0.6488400488400489 }, "magnetic_domain": { "H_field": 3.355564940164145, "chi_susceptibility": 0.5818897639620626, "coercive_loss": 0.7555649401641449, "domain_wall_pressure": 0.38910221358303443, "heat_loss": 0.01439654090587793, "information_load": 3.355564940164145, "magnetization_M": 0.895558927782656, "overflow": 0.10556494016414497, "overflow_gate": 0.8636238425040315, "remanence": 0.9133628262388079 }, "sha256": "427c383c3ba1b982ceb8fea3a11848dc82bc7d1dab4b6f95270ab5909a0fd036", "status": "overflow" }, { "bytes": 273, "chunk_index": 21, "equation_instance": "M_i = sigmoid(((chi_i * H_i) + R_i - 0.5 * C_loss_i) * G_over_i); H_i = L_info_i; L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))", "features": { "entropy_bits_per_byte": 3.8898598319952375, "normalized_entropy": 0.4862324789994047, "printable_ratio": 1.0, "repetition_rate_4gram": 0.4074074074074074, "transition_rate": 0.6544117647058824 }, "magnetic_domain": { "H_field": 4.12275542453363, "chi_susceptibility": 0.5860444331327814, "coercive_loss": 1.52275542453363, "domain_wall_pressure": 0.49400871459694995, "heat_loss": 0.6130637527468008, "information_load": 4.12275542453363, "magnetization_M": 0.6772340194825643, "overflow": 0.8727554245336302, "overflow_gate": 0.2975537756475126, "remanence": 0.8358662613981762 }, "sha256": "d99fdfa531cb4019966e7abd696486f478790578119971c0de03e96ebbffc6ac", "status": "overflow" } ], "claim_boundary": "This receipt maps byte-signal statistics into a magnetic-domain analogue. It is a stress-test and routing prior, not a claim that text data is a literal magnetic material.", "parameters": { "D_f": 1.4404200904125564, "capacity_threshold": 3.25, "chunk_size": 4096, "coercive_threshold": 2.6, "lambda_phi": 1.618033988749895, "max_chunks": 22, "phi_gain": 2.0, "slice_bytes_requested": 86289 }, "purpose": "Stress-test the transfold adaptation framework by converting a byte slice into magnetic-domain equation instances with response-family selection and threshold overflow.", "receipt_hash": "cad08a03b9bce19475676a69e96d9a532511409ba6213fd7a9ba864d0215f64f", "runner": "4-Infrastructure/shim/transfold_enwiki8_magnetic_domain_generator.py", "schema": "transfold_enwiki8_magnetic_domain_generator_v1", "source": { "available_bytes": 86878, "path": "shared-data/corpora/couch_data_bundle.jsonl", "sha256": "c2942362dad67c94801b9463b439352916e10fbba91c913baa91ad9d218f0e71", "slice_bytes": 86289, "source_mode": "real_file" }, "stress_sweep": [ { "capacity_threshold": 2.5, "mean_heat_loss": 0.9473216166491661, "mean_overflow": 1.163922436343822, "mean_overflow_gate": 0.22507297397763984, "overflow_chunk_count": 22 }, { "capacity_threshold": 3.25, "mean_heat_loss": 0.23921198455929052, "mean_overflow": 0.4432264419344858, "mean_overflow_gate": 0.5737709098179441, "overflow_chunk_count": 20 }, { "capacity_threshold": 4.0, "mean_heat_loss": 0.0010042089982083586, "mean_overflow": 0.007672013769550532, "mean_overflow_gate": 0.9900600023017341, "overflow_chunk_count": 2 }, { "capacity_threshold": 4.5, "mean_heat_loss": 0.0, "mean_overflow": 0.0, "mean_overflow_gate": 1.0, "overflow_chunk_count": 0 }, { "capacity_threshold": 5.25, "mean_heat_loss": 0.0, "mean_overflow": 0.0, "mean_overflow_gate": 1.0, "overflow_chunk_count": 0 } ], "transfold_map": { "core_equations": { "heat_loss": "Q_i = max(0, L_info_i - L_threshold) * (1 - G_over_i)", "magnetic_projection": "M_i = sigmoid(((chi_i H_i) + R_i - 0.5 C_loss_i) * G_over_i)", "overflow_gate": "G_over_i = 1 if L_info_i <= L_threshold else exp(-1.25 * (L_info_i - L_threshold) / 0.9)", "signal_load": "L_info_i = phi^D_f * (log(1 + 2 h_i) + MM(t_i;1,0.35) + (1 - r_i)^0.6)" }, "field_mapping": { "byte_transition_rate": "domain agitation / susceptibility driver", "capacity_overflow": "hysteresis heat-loss channel", "entropy": "field demand / information pressure", "repeated_4grams": "remanence / memory channel" }, "source_domain": "byte_stream_signal", "target_domain": "magnetic_domain_equation" } }