Recorded data and provenance for the associated calculation.
| experiment_key | finite-guide-distinct-clocks-and-dynamic-response |
|---|---|
| created_utc | 2026-10-12T12:15:35.930636+00:00 |
| evaluations | 290 |
View complete data
{
"experiment_key": "finite-guide-distinct-clocks-and-dynamic-response",
"created_utc": "2026-10-12T12:15:35.930636+00:00",
"sources": {
"experiments/finite-guide-clocks.py": "f0caa3956170243f9f304e93a38fb06a42635c2a81a3cc8d0954297953a0e577"
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"conditions": {
"dynamic spectral amplitude solves the full wave equation": 1,
"time-averaged full stress is independent of position": 1,
"averaged action variation and independently derived pressure agree": 1,
"diagonal boundary response has a regular threshold limit": 1,
"cross boundary response has the same regular threshold limit": 1,
"above-gap diagonal response is oscillatory rather than exponential": 1,
"above-gap cross response retains its standing-wave poles": 1,
"stored energy differs from averaged action cost by the retained kinetic term": 1,
"a single-frequency phase-invariant shape does not freeze its carrier clock": 1,
"independent complex harmonic boundary solver converges": 6,
"independent stored energy includes the extra kinetic contribution": 6,
"independent harmonic field matches exact boundary formula": 42,
"independent harmonic spatial derivative matches exact formula": 42,
"actual mean pressure remains constant through the guide": 36,
"numerical fixed-frequency action derivative yields the actual stress force": 6,
"a propagating scalar channel has positive outward pressure": 2,
"independent causal Green identity retains complete endpoint work": 9,
"causal boundary admittance is passive for arbitrary endpoint polarization": 9,
"every positive count carrier lies above the transverse gap in the declared control": 84,
"maintained sibling carriers retain distinct clocks": 11,
"unlike count-harmonic cross terms average exactly to zero over one fundamental period": 22,
"independent time integration verifies unlike-harmonic phase cancellation": 6
},
"maximum_errors": {
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"independent harmonic field matches exact boundary formula": 2.610045918266239e-14,
"independent harmonic spatial derivative matches exact formula": 5.803908713851248e-14,
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"numerical fixed-frequency action derivative yields the actual stress force": 2.2675377200909175e-10,
"independent causal Green identity retains complete endpoint work": 2.0816681711721685e-17,
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"guide_present_under_existing_premises": true,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "charm",
"depth": 4,
"index": 20,
"count": 8855,
"t_exact": "1/2",
"mu_times_length": 1,
"direct_carrier_frequency_squared_over_gap_squared_exact": "156822050",
"radiation_threshold_squared_over_gap_squared": 10.869604401089358,
"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": true,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "charm",
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"index": 20,
"count": 8855,
"t_exact": "1/2",
"mu_times_length": 4,
"direct_carrier_frequency_squared_over_gap_squared_exact": "156822050",
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"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": true,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "charm",
"depth": 4,
"index": 20,
"count": 8855,
"t_exact": "3/4",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "313644100",
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"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": true,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "charm",
"depth": 4,
"index": 20,
"count": 8855,
"t_exact": "3/4",
"mu_times_length": 4,
"direct_carrier_frequency_squared_over_gap_squared_exact": "313644100",
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"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": true,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "top",
"depth": 4,
"index": 72,
"count": 1215450,
"t_exact": "1/4",
"mu_times_length": 1,
"direct_carrier_frequency_squared_over_gap_squared_exact": "1969758270000",
"radiation_threshold_squared_over_gap_squared": 10.869604401089358,
"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": true,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "top",
"depth": 4,
"index": 72,
"count": 1215450,
"t_exact": "1/4",
"mu_times_length": 4,
"direct_carrier_frequency_squared_over_gap_squared_exact": "1969758270000",
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"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": true,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "top",
"depth": 4,
"index": 72,
"count": 1215450,
"t_exact": "1/2",
"mu_times_length": 1,
"direct_carrier_frequency_squared_over_gap_squared_exact": "2954637405000",
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"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": true,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "top",
"depth": 4,
"index": 72,
"count": 1215450,
"t_exact": "1/2",
"mu_times_length": 4,
"direct_carrier_frequency_squared_over_gap_squared_exact": "2954637405000",
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"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": true,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "top",
"depth": 4,
"index": 72,
"count": 1215450,
"t_exact": "3/4",
"mu_times_length": 1,
"direct_carrier_frequency_squared_over_gap_squared_exact": "5909274810000",
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"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": true,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "top",
"depth": 4,
"index": 72,
"count": 1215450,
"t_exact": "3/4",
"mu_times_length": 4,
"direct_carrier_frequency_squared_over_gap_squared_exact": "5909274810000",
"radiation_threshold_squared_over_gap_squared": 1.6168502750680849,
"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": true,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu1-comparison",
"depth": 5,
"index": 10,
"count": 2002,
"t_exact": "1/4",
"mu_times_length": 1,
"direct_carrier_frequency_squared_over_gap_squared_exact": "16032016/3",
"radiation_threshold_squared_over_gap_squared": 10.869604401089358,
"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": false,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu1-comparison",
"depth": 5,
"index": 10,
"count": 2002,
"t_exact": "1/4",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "16032016/3",
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"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": false,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu1-comparison",
"depth": 5,
"index": 10,
"count": 2002,
"t_exact": "1/2",
"mu_times_length": 1,
"direct_carrier_frequency_squared_over_gap_squared_exact": "8016008",
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"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": false,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu1-comparison",
"depth": 5,
"index": 10,
"count": 2002,
"t_exact": "1/2",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "8016008",
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"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": false,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu1-comparison",
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"index": 10,
"count": 2002,
"t_exact": "3/4",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "16032016",
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"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": false,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu1-comparison",
"depth": 5,
"index": 10,
"count": 2002,
"t_exact": "3/4",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "16032016",
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"generic_radiation_possible_if_guide_supplied": true,
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu2-comparison",
"depth": 5,
"index": 15,
"count": 11628,
"t_exact": "1/4",
"mu_times_length": 1,
"direct_carrier_frequency_squared_over_gap_squared_exact": "180280512",
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"guide_present_under_existing_premises": false,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu2-comparison",
"depth": 5,
"index": 15,
"count": 11628,
"t_exact": "1/4",
"mu_times_length": 4,
"direct_carrier_frequency_squared_over_gap_squared_exact": "180280512",
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"guide_present_under_existing_premises": false,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu2-comparison",
"depth": 5,
"index": 15,
"count": 11628,
"t_exact": "1/2",
"mu_times_length": 1,
"direct_carrier_frequency_squared_over_gap_squared_exact": "270420768",
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"generic_radiation_possible_if_guide_supplied": true,
"guide_present_under_existing_premises": false,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu2-comparison",
"depth": 5,
"index": 15,
"count": 11628,
"t_exact": "1/2",
"mu_times_length": 4,
"direct_carrier_frequency_squared_over_gap_squared_exact": "270420768",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu2-comparison",
"depth": 5,
"index": 15,
"count": 11628,
"t_exact": "3/4",
"mu_times_length": 1,
"direct_carrier_frequency_squared_over_gap_squared_exact": "540841536",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu2-comparison",
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"index": 15,
"count": 11628,
"t_exact": "3/4",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "540841536",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu3-comparison",
"depth": 5,
"index": 22,
"count": 65780,
"t_exact": "1/4",
"mu_times_length": 1,
"direct_carrier_frequency_squared_over_gap_squared_exact": "17308033600/3",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
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"count": 65780,
"t_exact": "1/4",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "17308033600/3",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
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"count": 65780,
"t_exact": "1/2",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "8654016800",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu3-comparison",
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"index": 22,
"count": 65780,
"t_exact": "1/2",
"mu_times_length": 4,
"direct_carrier_frequency_squared_over_gap_squared_exact": "8654016800",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu3-comparison",
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"index": 22,
"count": 65780,
"t_exact": "3/4",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "17308033600",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "nu3-comparison",
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"count": 65780,
"t_exact": "3/4",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "17308033600",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
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"index": 13,
"count": 18564,
"t_exact": "1/4",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "459496128",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
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"index": 13,
"count": 18564,
"t_exact": "1/4",
"mu_times_length": 4,
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "electron",
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"index": 13,
"count": 18564,
"t_exact": "1/2",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "689244192",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "electron",
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"index": 13,
"count": 18564,
"t_exact": "1/2",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "689244192",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "electron",
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"count": 18564,
"t_exact": "3/4",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "1378488384",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
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"index": 13,
"count": 18564,
"t_exact": "3/4",
"mu_times_length": 4,
"direct_carrier_frequency_squared_over_gap_squared_exact": "1378488384",
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"guide_present_under_existing_premises": false,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "muon",
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"index": 35,
"count": 3838380,
"t_exact": "1/4",
"mu_times_length": 1,
"direct_carrier_frequency_squared_over_gap_squared_exact": "19644214699200",
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"guide_present_under_existing_premises": false,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "muon",
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"count": 3838380,
"t_exact": "1/4",
"mu_times_length": 4,
"direct_carrier_frequency_squared_over_gap_squared_exact": "19644214699200",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
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"direct_carrier_frequency_squared_over_gap_squared_exact": "29466322048800",
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"guide_present_under_existing_premises": false,
"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "muon",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
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"index": 35,
"count": 3838380,
"t_exact": "3/4",
"mu_times_length": 4,
"direct_carrier_frequency_squared_over_gap_squared_exact": "58932644097600",
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"generic_radiation_possible_if_guide_supplied": true,
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
"particle": "tau",
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"index": 23,
"count": 64512240,
"t_exact": "1/4",
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"direct_carrier_frequency_squared_over_gap_squared_exact": "5549105479756800",
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
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"interpretation": "Omega equals sector fundamental only in this labeled control"
},
{
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"mu_times_length": 4,
"direct_carrier_frequency_squared_over_gap_squared_exact": "16647316439270400",
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"guide_present_under_existing_premises": false,
"interpretation": "Omega equals sector fundamental only in this labeled control"
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{
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{
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{
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{
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{
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{
"depth": 5,
"first": "nu1-comparison",
"second": "nu3-comparison",
"count_difference": 63778,
"phase_sensitive_linear_cross_force_period_average_exact": "0"
},
{
"depth": 5,
"first": "nu2-comparison",
"second": "nu3-comparison",
"count_difference": 54152,
"phase_sensitive_linear_cross_force_period_average_exact": "0"
},
{
"depth": 6,
"first": "electron",
"second": "muon",
"count_difference": 3819816,
"phase_sensitive_linear_cross_force_period_average_exact": "0"
}
],
"exact_equations": {
"finite_segment_threshold": "mu^2+pi^2/L^2",
"force": "T-mean(P)=T+partial_L W",
"mean_energy": "W+(omega^2/2) integral |Z|^2 dx"
},
"limits": [
"slow phase-invariant shape coupling is distinct from direct mass-clock forcing",
"fundamental identification of Omega remains a hypothesis",
"the guide restriction to three/four is inherited from prior premises",
"zero averaged cross force does not mean zero individual response",
"causal eta is a resolvent regulator, not an added dissipation mechanism",
"generic continuum forcing above threshold requires outgoing radiation and source work",
"no nonlinear locking, particle mass selection or observed force is derived"
]
}