Nucleation, percolation and conditional gravitational waves
Integrate bubble growth using a matching refined action table and explicit cosmological assumptions.
Control names are kept as they appear in the application. Start with a reference, change one input at a time, and retain the assumptions with your result.
What this tool is for
Use this to move beyond a coexistence temperature or a single S₃/T threshold. It tracks an integrated history and checks physical false-vacuum volume under the specified expansion model.
First steps
- Choose a supported paper benchmark in the thermal card.
- Confirm that a matching refined action table is available.
- Set g*, assumed wall speed, efficiency and expansion background.
- Read nucleation, percolation and completion before the conditional acoustic spectrum.
Controls and inputs
| Control | Meaning | Try this |
|---|---|---|
| Relativistic degrees of freedom g* | An input to the cosmological background. | Keep it fixed when comparing wall-speed assumptions. |
| Wall speed / c and fluid efficiency κ | Explicit scenario assumptions, not outputs of the potential. | Vary one and compare completion and the acoustic spectrum. |
| Expansion background | Selects radiation only or radiation plus false-vacuum energy. | Compare the physical false-volume condition. |
Reading the results
| Result | Meaning |
|---|---|
| Integrated events | Nucleation, percolation and completion within the supplied action range, when established. |
| False-vacuum fraction and volume slope | Track both volume fraction and whether physical false-vacuum volume decreases. |
| Conditional acoustic spectrum | Depends on the transition history, wall speed, efficiency and sound-wave model. |
The two benchmark action tables support the calculation only for matching thermal inputs. Wall speed and fluid efficiency remain assumptions. Collider measurements do not measure these thermal quantities.
Worked example
Check whether a benchmark completes
- Restore a paper benchmark with a refined action table.
- Read the available action range and upper-boundary diagnostic.
- Compare percolation and completion with the physical-volume slope.
- Change the expansion assumption and compare again.
What to expect: Completion is conditional on the supplied actions and cosmology; an unavailable event is not silently extrapolated.
Formulas and conventions
Percolation: I = 0.34; completion: P_false = 0.01
The laboratory’s stated event definitions; both also require decreasing physical false-vacuum volume.
Scope and limitations
- No matching table means the integrated history is pending for those inputs.
- The SU(3) benchmarks are not a joint fit of the SU(7) model.
- The gravitational-wave spectrum is conditional, not an observed signal or a full detector likelihood.
If something is unclear
Refined action table pending appears.
Restore a paper benchmark or import a matching refined result using the documented reproduction workflow.
Sources and attribution
Current instrument guide. Archived editions retain their own scope.
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