Tomorrow, Tested

Quaternion Pathfinder · PF-001 · Revision 1

Can changing the phase steer radiation recoil in a finite-source model?

Can changing the timing between two emitters reverse their push, while the outgoing waves account for the energy and momentum?

accepted Canonical result for this mathematical model

In plain English

Understanding this experiment

What is being measured?
Two stationary, hypothetical emitters send waves into a scalar field. The experiment measures their accumulated reaction and the energy and momentum carried by the waves, across two source widths and ten registered cases.
Why does it matter?
A propulsion idea first needs a calculation that accounts for where its energy and momentum go. This is a test of that mathematical accounting, before designing a physically realisable emitter or claiming useful propulsion.
How does the title relate?
Phase means the relative timing of the emitters. Radiation recoil is the opposite reaction when waves carry momentum away. Finite-source means each emitter occupies a small volume, rather than being an ideal point.

Picture the experiment

Waves carry momentum away. The sources react in the opposite direction.

What we change or check
Change the relative timing of two wave emitters, then compare forward, reversed and symmetric cases.
What the test aims to establish
Check that the phase-dependent reaction agrees with the momentum carried away and that the energy account closes within the registered limits.

The circles are emitters A and B. Arcs illustrate waves spreading into the surrounding field. Solid arrows show the net momentum along the source axis; dashed arrows show the opposite reaction. These are not narrow beam patterns.

01 · Forward caseForward case: schematic source and wave momentumTwo stationary sources emit overlapping waves. Forward timing produces a negative accumulated source reaction in the retained model. Waves spread in multiple directions. The solid arrows show net axial wave momentum, and dashed arrows show the opposite source reaction. Arcs are illustrative wave marks, not a beam pattern. Arrow lengths do not encode a measurement.ABNet wave momentumOpposite source reaction

Change the timing

Two stationary sources emit overlapping waves. Forward timing produces a negative accumulated source reaction in the retained model.

Inspect the forward case
02 · Reversed caseReversed case: schematic source and wave momentumReversing the relative timing reverses the sign of the reaction. The sources stay in the same positions. Waves spread in multiple directions. The solid arrows show net axial wave momentum, and dashed arrows show the opposite source reaction. Arcs are illustrative wave marks, not a beam pattern. Arrow lengths do not encode a measurement.ABNet wave momentumOpposite source reaction

Reverse the timing

Reversing the relative timing reverses the sign of the reaction. The sources stay in the same positions.

Inspect the reversed case
03 · Symmetric controlSymmetric control: schematic source and wave momentumWith symmetric timing, opposite directions cancel and the net source reaction is effectively zero. This is the control case. Waves spread in multiple directions. The solid arrows show net axial wave momentum, and dashed arrows show the opposite source reaction. Arcs are illustrative wave marks, not a beam pattern. Arrow lengths do not encode a measurement.ABNet wave momentumNet reaction ≈ zero

Check the symmetry

With symmetric timing, opposite directions cancel and the net source reaction is effectively zero. This is the control case.

Inspect the symmetric control
Conceptual illustration of the registered model. Shapes, angles and arrow lengths are schematic, not measured magnitudes. Read the frozen source geometry and phase controls. The result and exact measurements follow below.

How this fits the propulsion research

  1. PF-001 · Tested modelEstablish the accounting

    The present scalar-wave calculation checks reaction, outgoing waves and stored energy and momentum.

  2. PF-002 · Proposed bench testMeasure a real emitter

    A controlled electromagnetic source, power measurement and calibrated force balance must test the physical prediction.

  3. Later programme goalBuild from measured effects

    Subsystem and craft development require a measured mechanism, closed power and heat budgets, and further experiments.

The bench and spacecraft drawings show proposed research stages. PF-001 uses hypothetical scalar sources; it does not select an optical or RF emitter. Explore the complete Pathfinder research path.

Layer one · Result in brief

The model balances. The spacecraft is still a research goal.

01 · Verdict

11 of 11 obligations accepted

An obligation is a rule fixed before the run. The fresh run completed 10 registered cases, and all 153 measurement checks are retained without a retry or threshold change.

02 · Meaning

Change the phase, reverse the reaction

Opposite timing produces opposite signed reactions. The symmetric control is effectively zero, and the registered energy and momentum checks pass.

03 · Boundary

A scalar model, not a working engine

No physical emitter, power supply, moving craft or measured thrust is included. These results do not establish that Pathfinder can be built.

Layer two · Understand the result

The direction changes with the timing

The bars show the accumulated source reaction in the six base cases. Left and right indicate opposite signs, not a spacecraft trajectory. Values are dimensionless model momentum units, not newtons.

Signed reaction for both source widths and all three phase controlsForward timing gives a negative reaction, reversed timing gives a positive reaction, and the symmetric control is effectively zero. Exact values are in the following table.NegativePositive0.25 · forward-0.045927150.25 · reverse0.045927150.25 · symmetric8.585e-180.2 · forward-0.048780640.2 · reverse0.048780640.2 · symmetric-6.603e-18Zero reaction
Derived directly from retained primary observations, with labels rounded to seven significant digits (four for scientific notation). The near-zero controls are shown as dots at zero; the table preserves their small non-zero values.
All six base-case reactions
CaseSource widthTimingIntegrated reaction
PF-S-0010.25forward-0.045927145443219256
PF-S-0020.25reverse0.045927145443219256
PF-S-0030.25Symmetric control8.585141966512229e-18
PF-S-0060.2forward-0.04878064445377752
PF-S-0070.2reverse0.048780644453777555
PF-S-0080.2Symmetric control-6.603056359586751e-18

What this run does and does not establish

The ten configurations were explored before registration. This fresh run tests reproducibility after the freeze, not an unseen discovery or independent external replication. Both calculation paths are maintained within this project.

The emitter amplitude is fixed, not electrical input or radiated power. Changing the relative timing can change the emitted energy, so the reaction comparison is not an efficiency comparison.

  • Dimensionless model time and coordinates with wave speed and angular carrier frequency equal to one; no physical-unit calibration.
  • Stationary normalized truncated Gaussian sources, one real scalar channel, finite pulse and zero initial field.
  • No moving craft, actuator, power supply, losses, electromagnetic hardware, thermal or structural model.
  • Only widths 0.25 and 0.2, phases -pi/2, 0, +pi/2 and the named configurations. No instantaneous coincident-source force regularization.
  • Owner-maintained field and analytic radiation paths share source geometry and pulse assumptions, but not the field stencil or surface gradients.
  • Exploratory results informed design and all ten primary configurations have been seen. The later fresh run tests reproducibility after an immutable freeze, not unseen discovery.

The failed coarse controls remain in the record

The separate qualification campaign passed 23 software tests while retaining 8 expected source-sampling failures. Those coarser configurations are not silently counted as successful primary cases.

Inspect retained qualification failures
  • cell_coarse/0.25: source energy_flux sampling exceeds allocation
  • cell_coarse/0.25: source source_reaction sampling exceeds allocation
  • cell_fine/0.25: source energy_flux sampling exceeds allocation
  • cell_fine/0.25: source source_reaction sampling exceeds allocation
  • cell_fine_half_dt/0.25: source energy_flux sampling exceeds allocation
  • cell_fine_half_dt/0.25: source source_reaction sampling exceeds allocation
  • cell_fine_outer_wide/0.25: source energy_flux sampling exceeds allocation
  • cell_fine_outer_wide/0.25: source source_reaction sampling exceeds allocation
Read the original qualification diagnostics

Inspect each primary case

PF-S-001 · forward timingWidth 0.25 · cell_finest26 retained checks

Integrated source reaction: -0.045927145443219256 model momentum units. Values below are retained assessments; paired checks refer to this case and its registered partner.

PF-S-001: measurement checks
Metric / comparisonValueLimitCheck
source-energy-relative
PF-S-001		0.0008582763363987675≤ 0.001Pass
reference-energy-relative
PF-S-001		4.018211353880531e-7≤ 0.00001Pass
source-reaction-relative
PF-S-001		0.0005785277952878919≤ 0.001Pass
reference-reaction-relative
PF-S-001		2.2397252285732678e-7≤ 0.00001Pass
field-reaction-relative
PF-S-001		0.000033789455846286795≤ 0.005Pass
minimum-nonnull-reaction
PF-S-001		0.045927145443219256≥ 0.01Pass
field-energy-absolute
PF-S-001		0.00012637188157640922≤ 0.004Pass
field-momentum-absolute
PF-S-001		0.0000038941655940982756≤ 0.0022Pass
internal-energy-absolute
PF-S-001		4.163336342344337e-16≤ 0.006Pass
internal-momentum-absolute
PF-S-001		0.00000234236477549693≤ 0.0005Pass
terminal-energy
PF-S-001		2.5565161315291284e-16≤ 0.0001Pass
terminal-momentum-absolute
PF-S-001		5.295328770210705e-18≤ 0.00001Pass
phase-reversal-absolute
PF-S-001		0≤ 1e-8Pass
outer-domain-absolute
PF-S-001/energy_change		2.433837249352879e-24≤ 1e-7Pass
outer-domain-absolute
PF-S-001/momentum_change		2.8179973238527143e-24≤ 1e-7Pass
outer-domain-absolute
PF-S-001/integrated_energy_flux		0≤ 1e-7Pass
outer-domain-absolute
PF-S-001/integrated_momentum_flux		0≤ 1e-7Pass
outer-domain-absolute
PF-S-001/integrated_source_work		0≤ 1e-7Pass
outer-domain-absolute
PF-S-001/integrated_source_force		0≤ 1e-7Pass
outer-domain-absolute
PF-S-001/energy_residual		0≤ 1e-7Pass
outer-domain-absolute
PF-S-001/momentum_residual		0≤ 1e-7Pass
outer-domain-absolute
PF-S-001/peak_abs_stored_momentum		0≤ 1e-7Pass
paired-energy-absolute
PF-S-001/integrated_energy_flux		0.00003431196940412162≤ 0.004Pass
paired-energy-absolute
PF-S-001/integrated_source_work		0.00003431196940487102≤ 0.004Pass
paired-momentum-absolute
PF-S-001		0.000001103977743326101≤ 0.0022Pass
paired-reaction-relative
PF-S-001		0.00005997689282593454≤ 0.005Pass
PF-S-002 · reverse timingWidth 0.25 · cell_finest12 retained checks

Integrated source reaction: 0.045927145443219256 model momentum units. Values below are retained assessments; paired checks refer to this case and its registered partner.

PF-S-002: measurement checks
Metric / comparisonValueLimitCheck
source-energy-relative
PF-S-002		0.0007665236165565629≤ 0.001Pass
reference-energy-relative
PF-S-002		3.551385161722646e-7≤ 0.00001Pass
source-reaction-relative
PF-S-002		0.0005785277952878919≤ 0.001Pass
reference-reaction-relative
PF-S-002		2.2397252285732678e-7≤ 0.00001Pass
field-reaction-relative
PF-S-002		0.000033789455846286795≤ 0.005Pass
minimum-nonnull-reaction
PF-S-002		0.045927145443219256≥ 0.01Pass
field-energy-absolute
PF-S-002		0.00013034558276808772≤ 0.004Pass
field-momentum-absolute
PF-S-002		0.0000034362259838313647≤ 0.0022Pass
internal-energy-absolute
PF-S-002		6.106226635438361e-16≤ 0.006Pass
internal-momentum-absolute
PF-S-002		0.0000018844251652300192≤ 0.0005Pass
terminal-energy
PF-S-002		2.0322885717307524e-16≤ 0.0001Pass
terminal-momentum-absolute
PF-S-002		4.201400447597908e-18≤ 0.00001Pass
PF-S-003 · Symmetric controlWidth 0.25 · cell_finest14 retained checks

Integrated source reaction: 8.585141966512229e-18 model momentum units. Values below are retained assessments; paired checks refer to this case and its registered partner.

PF-S-003: measurement checks
Metric / comparisonValueLimitCheck
source-energy-relative
PF-S-003		0.000781276109340729≤ 0.001Pass
reference-energy-relative
PF-S-003		3.6997178565606687e-7≤ 0.00001Pass
null-absolute
PF-S-003/integrated_source_force		8.585141966512229e-18≤ 1e-8Pass
null-absolute
PF-S-003/integrated_momentum_flux		2.314257758196224e-17≤ 1e-8Pass
null-absolute
PF-S-003/momentum_change		1.6924694332827036e-25≤ 1e-8Pass
null-absolute
PF-S-003/matched		0≤ 1e-8Pass
null-absolute
PF-S-003/reference33		0≤ 1e-8Pass
null-absolute
PF-S-003/reference65		0≤ 1e-8Pass
field-energy-absolute
PF-S-003		0.00012281300597946632≤ 0.004Pass
field-momentum-absolute
PF-S-003		2.314257758196224e-17≤ 0.0022Pass
internal-energy-absolute
PF-S-003		7.771561172376096e-16≤ 0.006Pass
internal-momentum-absolute
PF-S-003		3.172771971772141e-17≤ 0.0005Pass
terminal-energy
PF-S-003		3.2987099199025016e-16≤ 0.0001Pass
terminal-momentum-absolute
PF-S-003		1.6924694332827036e-25≤ 0.00001Pass
PF-S-004 · forward timingWidth 0.25 · cell_finest_half_dt12 retained checks

Integrated source reaction: -0.04592438937434895 model momentum units. Values below are retained assessments; paired checks refer to this case and its registered partner.

PF-S-004: measurement checks
Metric / comparisonValueLimitCheck
source-energy-relative
PF-S-004		0.0008582763363987675≤ 0.001Pass
reference-energy-relative
PF-S-004		4.018211353880531e-7≤ 0.00001Pass
source-reaction-relative
PF-S-004		0.0005785277952878919≤ 0.001Pass
reference-reaction-relative
PF-S-004		2.2397252285732678e-7≤ 0.00001Pass
field-reaction-relative
PF-S-004		0.000026222155364773354≤ 0.005Pass
minimum-nonnull-reaction
PF-S-004		0.04592438937434895≥ 0.01Pass
field-energy-absolute
PF-S-004		0.00016068385098053084≤ 0.004Pass
field-momentum-absolute
PF-S-004		0.0000027901878507721745≤ 0.0022Pass
internal-energy-absolute
PF-S-004		1.0824674490095276e-15≤ 0.006Pass
internal-momentum-absolute
PF-S-004		0.000003994455902503469≤ 0.0005Pass
terminal-energy
PF-S-004		3.356552502820609e-16≤ 0.0001Pass
terminal-momentum-absolute
PF-S-004		2.2317195554646954e-17≤ 0.00001Pass
PF-S-005 · forward timingWidth 0.25 · cell_finest_outer_wide12 retained checks

Integrated source reaction: -0.045927145443219256 model momentum units. Values below are retained assessments; paired checks refer to this case and its registered partner.

PF-S-005: measurement checks
Metric / comparisonValueLimitCheck
source-energy-relative
PF-S-005		0.0008582763363987675≤ 0.001Pass
reference-energy-relative
PF-S-005		4.018211353880531e-7≤ 0.00001Pass
source-reaction-relative
PF-S-005		0.0005785277952878919≤ 0.001Pass
reference-reaction-relative
PF-S-005		2.2397252285732678e-7≤ 0.00001Pass
field-reaction-relative
PF-S-005		0.000033789455846286795≤ 0.005Pass
minimum-nonnull-reaction
PF-S-005		0.045927145443219256≥ 0.01Pass
field-energy-absolute
PF-S-005		0.00012637188157640922≤ 0.004Pass
field-momentum-absolute
PF-S-005		0.0000038941655940982756≤ 0.0022Pass
internal-energy-absolute
PF-S-005		4.163336342344337e-16≤ 0.006Pass
internal-momentum-absolute
PF-S-005		0.00000234236477549693≤ 0.0005Pass
terminal-energy
PF-S-005		2.556516107190756e-16≤ 0.0001Pass
terminal-momentum-absolute
PF-S-005		5.295331588208029e-18≤ 0.00001Pass
PF-S-006 · forward timingWidth 0.2 · cell_finest26 retained checks

Integrated source reaction: -0.04878064445377752 model momentum units. Values below are retained assessments; paired checks refer to this case and its registered partner.

PF-S-006: measurement checks
Metric / comparisonValueLimitCheck
source-energy-relative
PF-S-006		0.0008920338120188002≤ 0.001Pass
reference-energy-relative
PF-S-006		2.4289239499979044e-7≤ 0.00001Pass
source-reaction-relative
PF-S-006		0.000584284375844503≤ 0.001Pass
reference-reaction-relative
PF-S-006		1.3811859056655092e-7≤ 0.00001Pass
field-reaction-relative
PF-S-006		0.00003947569646687371≤ 0.005Pass
minimum-nonnull-reaction
PF-S-006		0.04878064445377752≥ 0.01Pass
field-energy-absolute
PF-S-006		0.00015140625571674615≤ 0.004Pass
field-momentum-absolute
PF-S-006		0.000003170537759909775≤ 0.0022Pass
internal-energy-absolute
PF-S-006		8.881784197001252e-16≤ 0.006Pass
internal-momentum-absolute
PF-S-006		0.0000012449638593786672≤ 0.0005Pass
terminal-energy
PF-S-006		5.239308442793356e-16≤ 0.0001Pass
terminal-momentum-absolute
PF-S-006		1.730457699114268e-17≤ 0.00001Pass
phase-reversal-absolute
PF-S-006		3.469446951953614e-17≤ 1e-8Pass
outer-domain-absolute
PF-S-006/energy_change		2.7602154326831366e-25≤ 1e-7Pass
outer-domain-absolute
PF-S-006/momentum_change		3.416728527537637e-25≤ 1e-7Pass
outer-domain-absolute
PF-S-006/integrated_energy_flux		0≤ 1e-7Pass
outer-domain-absolute
PF-S-006/integrated_momentum_flux		0≤ 1e-7Pass
outer-domain-absolute
PF-S-006/integrated_source_work		0≤ 1e-7Pass
outer-domain-absolute
PF-S-006/integrated_source_force		0≤ 1e-7Pass
outer-domain-absolute
PF-S-006/energy_residual		0≤ 1e-7Pass
outer-domain-absolute
PF-S-006/momentum_residual		0≤ 1e-7Pass
outer-domain-absolute
PF-S-006/peak_abs_stored_momentum		0≤ 1e-7Pass
paired-energy-absolute
PF-S-006/integrated_energy_flux		0.00004107930725064102≤ 0.004Pass
paired-energy-absolute
PF-S-006/integrated_source_work		0.000041079307251473685≤ 0.004Pass
paired-momentum-absolute
PF-S-006		0.000001628921186318244≤ 0.0022Pass
paired-reaction-relative
PF-S-006		0.00006386170441771778≤ 0.005Pass
PF-S-007 · reverse timingWidth 0.2 · cell_finest12 retained checks

Integrated source reaction: 0.048780644453777555 model momentum units. Values below are retained assessments; paired checks refer to this case and its registered partner.

PF-S-007: measurement checks
Metric / comparisonValueLimitCheck
source-energy-relative
PF-S-007		0.0008015605359583202≤ 0.001Pass
reference-energy-relative
PF-S-007		2.166887104992809e-7≤ 0.00001Pass
source-reaction-relative
PF-S-007		0.000584284375844503≤ 0.001Pass
reference-reaction-relative
PF-S-007		1.3811859056655092e-7≤ 0.00001Pass
field-reaction-relative
PF-S-007		0.00003947569646758498≤ 0.005Pass
minimum-nonnull-reaction
PF-S-007		0.048780644453777555≥ 0.01Pass
field-energy-absolute
PF-S-007		0.00015557889461823016≤ 0.004Pass
field-momentum-absolute
PF-S-007		0.0000027797285802391714≤ 0.0022Pass
internal-energy-absolute
PF-S-007		1.3877787807814457e-15≤ 0.006Pass
internal-momentum-absolute
PF-S-007		8.541546796247967e-7≤ 0.0005Pass
terminal-energy
PF-S-007		6.661748674651132e-16≤ 0.0001Pass
terminal-momentum-absolute
PF-S-007		3.1358367226212656e-17≤ 0.00001Pass
PF-S-008 · Symmetric controlWidth 0.2 · cell_finest14 retained checks

Integrated source reaction: -6.603056359586751e-18 model momentum units. Values below are retained assessments; paired checks refer to this case and its registered partner.

PF-S-008: measurement checks
Metric / comparisonValueLimitCheck
source-energy-relative
PF-S-008		0.0008157123806233011≤ 0.001Pass
reference-energy-relative
PF-S-008		2.241679688076569e-7≤ 0.00001Pass
null-absolute
PF-S-008/integrated_source_force		6.603056359586751e-18≤ 1e-8Pass
null-absolute
PF-S-008/integrated_momentum_flux		7.383422327808563e-18≤ 1e-8Pass
null-absolute
PF-S-008/momentum_change		7.444104280067474e-25≤ 1e-8Pass
null-absolute
PF-S-008/matched		0≤ 1e-8Pass
null-absolute
PF-S-008/reference33		0≤ 1e-8Pass
null-absolute
PF-S-008/reference65		0≤ 1e-8Pass
field-energy-absolute
PF-S-008		0.0001485861489054774≤ 0.004Pass
field-momentum-absolute
PF-S-008		7.383422327808563e-18≤ 0.0022Pass
internal-energy-absolute
PF-S-008		9.43689570931383e-16≤ 0.006Pass
internal-momentum-absolute
PF-S-008		7.803652238113831e-19≤ 0.0005Pass
terminal-energy
PF-S-008		6.80353137900511e-16≤ 0.0001Pass
terminal-momentum-absolute
PF-S-008		7.444104280067474e-25≤ 0.00001Pass
PF-S-009 · forward timingWidth 0.2 · cell_finest_half_dt12 retained checks

Integrated source reaction: -0.0487775275404868 model momentum units. Values below are retained assessments; paired checks refer to this case and its registered partner.

PF-S-009: measurement checks
Metric / comparisonValueLimitCheck
source-energy-relative
PF-S-009		0.0008920338120188002≤ 0.001Pass
reference-energy-relative
PF-S-009		2.4289239499979044e-7≤ 0.00001Pass
source-reaction-relative
PF-S-009		0.000584284375844503≤ 0.001Pass
reference-reaction-relative
PF-S-009		1.3811859056655092e-7≤ 0.00001Pass
field-reaction-relative
PF-S-009		0.00002442334316133029≤ 0.005Pass
minimum-nonnull-reaction
PF-S-009		0.0487775275404868≥ 0.01Pass
field-energy-absolute
PF-S-009		0.00019248556296738717≤ 0.004Pass
field-momentum-absolute
PF-S-009		0.000001541616573591531≤ 0.0022Pass
internal-energy-absolute
PF-S-009		1.6375789613221059e-15≤ 0.006Pass
internal-momentum-absolute
PF-S-009		0.0000027329559637856438≤ 0.0005Pass
terminal-energy
PF-S-009		6.191605611158865e-16≤ 0.0001Pass
terminal-momentum-absolute
PF-S-009		2.3807565767051958e-17≤ 0.00001Pass
PF-S-010 · forward timingWidth 0.2 · cell_finest_outer_wide12 retained checks

Integrated source reaction: -0.04878064445377752 model momentum units. Values below are retained assessments; paired checks refer to this case and its registered partner.

PF-S-010: measurement checks
Metric / comparisonValueLimitCheck
source-energy-relative
PF-S-010		0.0008920338120188002≤ 0.001Pass
reference-energy-relative
PF-S-010		2.4289239499979044e-7≤ 0.00001Pass
source-reaction-relative
PF-S-010		0.000584284375844503≤ 0.001Pass
reference-reaction-relative
PF-S-010		1.3811859056655092e-7≤ 0.00001Pass
field-reaction-relative
PF-S-010		0.00003947569646687371≤ 0.005Pass
minimum-nonnull-reaction
PF-S-010		0.04878064445377752≥ 0.01Pass
field-energy-absolute
PF-S-010		0.00015140625571674615≤ 0.004Pass
field-momentum-absolute
PF-S-010		0.000003170537759909775≤ 0.0022Pass
internal-energy-absolute
PF-S-010		8.881784197001252e-16≤ 0.006Pass
internal-momentum-absolute
PF-S-010		0.0000012449638593786672≤ 0.0005Pass
terminal-energy
PF-S-010		5.23930844003314e-16≤ 0.0001Pass
terminal-momentum-absolute
PF-S-010		1.7304576649469826e-17≤ 0.00001Pass

Layer three · Full technical record

Every check, limit and original record

Displayed numbers are rounded only where labelled for readability. Downloads preserve the original bytes. Source and runtime identities describe this execution; they do not provide the operating system or runtime binaries.

Canonical obligations

  • Represent the emitters accurately
    PF-SOURCE    accepted
  • Resolve the reference calculation
    PF-REFERENCE    accepted
  • Match the independent radiation calculation
    PF-FIELD    accepted
  • Account for energy
    PF-ENERGY    accepted
  • Account for momentum
    PF-MOMENTUM    accepted
  • Check what remains in the field
    PF-TERMINAL    accepted
  • Reverse a measurable reaction
    PF-PHASE    accepted
  • Check the symmetric control
    PF-NULL    accepted
  • Move the outer boundary
    PF-DOMAIN    accepted
  • Halve the time step
    PF-TIME    accepted
  • Retain the complete cohort
    PF-COVERAGE    accepted

Worst value for each registered metric

Values in this summary use seven significant digits, or four for very small scientific-notation values. Limits and acceptance are taken from the unrounded canonical assessment, with zero extra tolerance.

All 19 registered metrics, including complete coverage
MetricWorst valueLimitModel unit
max relative source-energy discrepancy against 65-node reference
source-energy-relative		0.0008920338≤ 0.0011
max relative non-null source-reaction discrepancy against 65-node reference
source-reaction-relative		0.0005842844≤ 0.0011
max relative 33/65-node energy disagreement
reference-energy-relative		4.018e-7≤ 0.000011
max relative non-null 33/65-node reaction disagreement
reference-reaction-relative		2.240e-7≤ 0.000011
max absolute field versus matched-source radiated energy difference
field-energy-absolute		0.0001924856≤ 0.004model-energy
max absolute field versus matched-source outward axial momentum difference
field-momentum-absolute		3.894e-6≤ 0.0022model-momentum
max relative non-null field versus matched-source integrated reaction difference
field-reaction-relative		0.0000394757≤ 0.0051
max absolute terminal energy plus outgoing energy minus source work
internal-energy-absolute		1.638e-15≤ 0.006model-energy
max absolute terminal axial momentum plus outgoing momentum plus source reaction
internal-momentum-absolute		3.994e-6≤ 0.0005model-momentum
max nonnegative energy retained at end of observation
terminal-energy		6.804e-16≤ 0.0001model-energy
max absolute terminal axial momentum
terminal-momentum-absolute		3.136e-17≤ 0.00001model-momentum
max absolute sum of forward and reverse integrated reactions for each width
phase-reversal-absolute		3.469e-17≤ 1e-8model-momentum
max absolute in-phase reaction, outgoing momentum, terminal momentum and null reference reaction
null-absolute		2.314e-17≤ 1e-8model-momentum
max absolute standard/enlarged-domain difference of each like-unit scalar field measurement
outer-domain-absolute		2.818e-24≤ 1e-7model-unit
max absolute standard/half-step difference of outgoing energy and source work
paired-energy-absolute		0.00004107931≤ 0.004model-energy
max absolute standard/half-step outgoing momentum difference
paired-momentum-absolute		1.629e-6≤ 0.0022model-momentum
max absolute standard/half-step reaction difference divided by dense forward reaction magnitude
paired-reaction-relative		0.0000638617≤ 0.0051
minimum magnitude of integrated non-null reaction; must also have the declared phase sign
minimum-nonnull-reaction		0.04592439≥ 0.01model-momentum
minimum fraction of required case and paired obligations with valid terminal evidence
obligation-coverage		1≥ 11

Execution and reproduction

The frozen model uses d2phi_dt2-laplacian(phi)=J, dimensionless units and binary64 precision. The sources are stationary. Qualification and primary execution have separate budgets.

Runtime
Python 3.14.4 · NumPy 2.5.3 · linux/aarch64
Memory ceiling
6442450944 bytes, linux-rlimit-as
qualify duration
94.13 minutes
primary duration
89.36 minutes
Retries
0
Cleanup
clean

Verify frozen input identities and qualification first. Execute all ten ordered primary scenarios once, serially, without cache reuse, random draws or retry. Numerical obligation failures are retained while remaining safe cases run. Stop on malformed input/output, identity drift, missing required evidence, timeout or resource breach; retain partial observations and mark all unrun obligations unavailable, never accepted. Any changed question, input, threshold, tolerance, baseline, cohort or stopping rule requires a new revision. No tuning or case substitution after observing primary results.

From a repository checkout, verify the retained archive without rerunning the numerical experiment:

cargo run --quiet --locked --bin tt -- verify-pf001-release

A fresh execution requires an unprivileged Linux host, the pinned Python and NumPy environment, and the complete qualification gate. It creates a new execution identity; it must not overwrite this archive.

Identities and citation

Cite Tomorrow, Tested, PF-001 revision 1, together with the result and bundle identities below.

Experiment
sha256:27490b40cddec32831aefd48768c8bcaf078d3ba4fce865a5711f18cedc1ce82
Result
sha256:e9ec0945a0f1de49711b622b3295541c6433ff911a100d367ce4de85ad74a01a
Evidence bundle
sha256:dd0976b3cd58a3b03457266df68dc8434f39c7d1466df90d0b166386ad834d20

Download the original evidence

Each link is content-addressed. The manifest records original bundle paths; use those paths when reconstructing downloaded files. All records are available in this local preview; production archive publication is a separate gate.

Digest-bound archive artefacts
DigestBytesArtefact
sha256:dd0976b3cd58a3b03457266df68dc8434f39c7d1466df90d0b166386ad834d205445experiments/pf-001/revision1/bundle/manifest.json
sha256:bf9c298835980f23ca2ba95ecb191430dece86e7401f50c16d0426044ca5a4eb21400experiments/pf-001/revision1/bundle/assessment.json
sha256:46bfab994d0e38994f4bbcc3d526cde1c50dc2507680fb327626a0f00ecb17351327experiments/pf-001/revision1/bundle/execution.json
sha256:71cb16497d2fe50cc4209c250987b37ab6529685af18c95d82026577775c48dc9056experiments/pf-001/revision1/bundle/executor/worker.py
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sha256:66eaf456ff800e95fcd017a84c3fd40fe94a197cd4b9faaac433bef69526b8ee5349experiments/pf-001/revision1/bundle/inputs/deposition/test_validation.py
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sha256:babe7ce30d823be9dac40f2dfa985963a2e4ca49d2d223da3752d7b12ce02cb9220experiments/pf-001/revision1/bundle/observations/primary.stderr
sha256:cfebb21a24e40e7e28efb69f35ec7847e208cffcce535c492fc6829b938e6f6811615experiments/pf-001/revision1/bundle/observations/primary.stdout
sha256:d82bf832a6cc5a09c42ade7facbe77c7129d0389304f58eb5d2e9ecaff2a1bbc19140experiments/pf-001/revision1/bundle/observations/qualify.stderr
sha256:8f3d1f12c40e1917033a526d5c44c650b020d1fbf799718b258a1ff52480d83a626experiments/pf-001/revision1/bundle/observations/qualify.stdout
sha256:e9ec0945a0f1de49711b622b3295541c6433ff911a100d367ce4de85ad74a01a3898experiments/pf-001/revision1/bundle/result.json
sha256:27490b40cddec32831aefd48768c8bcaf078d3ba4fce865a5711f18cedc1ce829075Canonical JSON derived from inputs/experiment.json
sha256:aabb1809d1bce58f5b92bea5cb38329cb2ed23554908b1d5d3f57e3367f4e31f6005Canonical JSON derived from inputs/contract.json

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