The Metastable Solitude

TL;DR

These are the dated updates on the Metastable Solitude research, from 27 September to 8 October 2026, moved here from the essay.

Dated research updates

The original hypothesis needs more than the fact that chemistry has timescales. Its stronger claim is that a physically realizable change of field background could disrupt the compatibility of those timescales, or alter the material supply needed for organized chemistry. The cosmological extension adds two further claims: arrival into and departure from suitable states could make sufficiently long histories rare, and that rarity could help explain the absence of detectable neighbors. The calculations below test different links in that argument; success at one link cannot establish the others.

27 September 2026 — Nuclear sensitivity survives, but inheritance is filtered

A changed core is a real response in the tested star

The stellar comparison starts from an ordinary hydrogen-exhausted model of a 15-solar-mass star with metallicity $Z=0.02$, then changes the specified nuclear rates before helium ignition. Opacity, the equation of state and the other microphysics remain ordinary. The star is allowed to adjust its temperature and structure. At helium exhaustion, the results are:

The last row uses a much smaller Hoyle shift, +0.798 keV, together with a modeled carbon-capture response and an assumed ground-state channel fraction of one-half. It is not another version of the isolated +39.9-keV intervention. A finer ordinary stellar calculation gives central carbon near 0.378, so the large imposed-shift responses cannot be explained by that particular numerical refinement.¹

This supports the nuclear-to-star link: thermal feedback does not necessarily erase a nuclear-rate change. It does not establish an altered field state, because the imposed rates have not been accompanied by all the other changes that the same field would cause.

The material that escapes carries a much smaller difference

In the +39.9-keV case, central carbon falls by about 99.4%, retained carbon by 77.6%, and total carbon lost in winds by only 1.1%. These are three different quantities. The wind largely samples material outside the altered core, and its total carbon includes carbon present initially; it is not the net amount of newly synthesized carbon delivered to another world.

Following the winds through the tested four-cohort enrichment histories leaves a gas C/O difference of about $5.7$–$5.9\times10^{-5}$ dex. Ordinary wind and mixing alternatives can produce larger differences. Terminal explosions and remnants are absent from these calculations.¹

For the inheritance hypothesis, the large core effect therefore establishes an upstream sensitivity, while the small wind effect weakens this particular route to a distinctive inherited signature. Neither result determines a planet's composition. The consequential comparison is the released, mixed, multi-element inventory from one consistent physical model, with ordinary mass loss and explosion alternatives included. A carbon-poor core alone cannot establish a carbon-poor world, still less a sterile one.

An energy shift does not yet establish a lost chemical capability

The molecular calculations test a different link. In the leading nonrelativistic Coulomb problem, rescaling the molecular geometry along with the characteristic length and energy recovers the same dimensionless electronic problem for the hydrogen and water examples. An energy barrier changing in electronvolts can therefore reflect a change of scale. It need not show that the relative timing of useful reactions and destructive reactions has become incompatible.

A separate driven three-state maintenance model retains a stationary “functional” population of about 99.43–99.65% as its imposed energy-scale parameter moves from 0.95 to 1.05. Its selected temperature, catalyst strength and dimensionless driving are the same throughout that scan. This is not a numerical demonstration of temperature adjustment rescuing function. Moreover, its cycle current changes by a factor of about 20.4 across the range: a highly occupied functional state does not by itself establish adequate throughput.²

These results challenge the shortcut from “molecular energies change” to “organized chemistry becomes impossible.” They do not show that real organisms adapt to another field background. A stronger test must define what the network has to accomplish—turnover, repair, information retention and energy supply—and ask whether those requirements can still be met across physically allowed environments under the same correlated change of molecular parameters. No narrow, universal chemical viability window has been established by these examples.

The field must actually reach the burning material

The screened stellar profile supplies a concrete failure of a proposed connection. Although the exterior field differs from its dense-Earth value, the region supplying 99% of the modeled nuclear luminosity has the same sampled electromagnetic coupling as dense Earth. Within this benchmark, screening removes the nuclear-rate contrast that was supposed to change the star.³

Consequently, the altered-rate stellar tracks above cannot simply be attached to this screened background. The former establish sensitivity to an imposed input; the latter fails to provide that input where burning occurs. This rejects the intended mechanism for this profile and coupling, rather than every possible field model. A successful replacement has to sustain the contrast inside the relevant matter while also satisfying its local force and energy constraints.

1 October 2026 — Nuclear survival depends on boundaries and passage

The nuclear extension asks whether a field history could change the inventory available before molecules or stars form. Three conditions must be separated: a nucleus can be bound, able to survive weak decay, and accessible through a production reaction. None follows automatically from either of the others.

For example, with the other particle masses fixed, deuteron binding between about 0.782 and 1.804 MeV closes the displayed deuteron beta-breakup while leaving ordinary pp fusion endothermic. The tested correlated local light-quark response instead leaves the binding at roughly 2.10–2.34 MeV, the dineutron unbound and pp fusion exothermic. This response envelope is a stipulated local sensitivity calculation, not an observational confidence region. Recovering the ordinary Reid93 binding to about 10 eV checks the baseline energy convention; it does not extend that local response into a finite alternative field theory.⁴

The distinction changes the inference: adjustable nuclear forces can cross these boundaries, but the tested field response does not. That is evidence against claiming a crossing in this model and range, not evidence that every field model is forbidden from crossing. Even a genuine pp threshold crossing would require recalculating the remaining production routes and the thermal reaction rates before concluding that stars cannot burn.

Time-dependent calculations test the history part more directly. In the prescribed Bonn B cycle, the tensor multiplier falls from 1 to 0.4, passes through an unbound regime, and returns to 1. With the same intermediate hold, increasing the ramp timescale from 0.02 to 0.2 to 2 in units of $\hbar/\mathrm{MeV}$ leaves returned bound fractions of approximately 0.23, 0.20 and 0.11. Returning to the original Hamiltonian does not return the nucleus to its original state.

Returned deuteron binding depends on the prescribed passage through a changing interaction, even after the original interaction is restored.

t =

1.4000 ħ/MeV

t

1.4000 ħ/MeV = 9.21e−22 s

tensor multiplier

1.000

overlap with the original deuteron

0.2009

Change in nuclear energy

4.2703 MeV

Work by prescribed interaction

4.2703 MeV

pause

data

Bonn B follows a prescribed smooth excursion from tensor multiplier 1 to 0.4 and back, holding for ℏ/MeV between ramps. The minimum lies below its verified infinite-volume binding threshold. The complete S/D Hamiltonian and its quadrature continuum are propagated, with time, momentum-grid, sudden-limit and independent ODE controls. Nuclear energy change is checked against the supplied work. The final projector measures returned binding; intermediate overlap with the original deuteron is not an instantaneous bound fraction. Passage times are diagnostic, not derived from a viable field. No irreversibility, hysteresis or thermal capture rate is claimed. The bound-to-bound scan is a separate Gaussian model ending at binding 0.3 MeV; it is not the Bonn B excursion.

series	time	tensor multiplier	overlap or P(bound)	Change in nuclear energy [MeV]	Work by prescribed interaction [MeV]
cycle t [ħ/MeV]	0.0005	1.000	1.0000	0.0001	0.0001
cycle t [ħ/MeV]	0.0020	1.000	1.0000	0.0020	0.0020
cycle t [ħ/MeV]	0.0035	0.999	1.0000	0.0060	0.0060
cycle t [ħ/MeV]	0.0050	0.999	1.0000	0.0121	0.0121
cycle t [ħ/MeV]	0.0065	0.998	1.0000	0.0203	0.0203
cycle t [ħ/MeV]	0.0080	0.997	1.0000	0.0306	0.0306
cycle t [ħ/MeV]	0.0095	0.996	1.0000	0.0430	0.0430
cycle t [ħ/MeV]	0.0110	0.995	1.0000	0.0573	0.0573
cycle t [ħ/MeV]	0.0125	0.993	1.0000	0.0736	0.0736
cycle t [ħ/MeV]	0.0140	0.992	1.0000	0.0918	0.0918
cycle t [ħ/MeV]	0.0155	0.990	1.0000	0.1119	0.1119
cycle t [ħ/MeV]	0.0170	0.988	1.0000	0.1338	0.1338
cycle t [ħ/MeV]	0.0185	0.986	1.0000	0.1576	0.1576
cycle t [ħ/MeV]	0.0200	0.983	1.0000	0.1831	0.1831
cycle t [ħ/MeV]	0.0215	0.981	1.0000	0.2104	0.2104
cycle t [ħ/MeV]	0.0230	0.978	1.0000	0.2393	0.2393
cycle t [ħ/MeV]	0.0245	0.975	1.0000	0.2699	0.2699
cycle t [ħ/MeV]	0.0260	0.972	1.0000	0.3021	0.3021
cycle t [ħ/MeV]	0.0275	0.969	1.0000	0.3358	0.3358
cycle t [ħ/MeV]	0.0290	0.966	1.0000	0.3710	0.3710
cycle t [ħ/MeV]	0.0305	0.962	1.0000	0.4077	0.4077
cycle t [ħ/MeV]	0.0320	0.959	0.9999	0.4459	0.4459
cycle t [ħ/MeV]	0.0335	0.955	0.9999	0.4854	0.4854
cycle t [ħ/MeV]	0.0350	0.951	0.9999	0.5262	0.5262
cycle t [ħ/MeV]	0.0365	0.947	0.9999	0.5684	0.5684
cycle t [ħ/MeV]	0.0380	0.943	0.9999	0.6117	0.6117
cycle t [ħ/MeV]	0.0395	0.939	0.9998	0.6563	0.6563
cycle t [ħ/MeV]	0.0410	0.935	0.9998	0.7020	0.7020
cycle t [ħ/MeV]	0.0425	0.930	0.9998	0.7488	0.7488
cycle t [ħ/MeV]	0.0440	0.926	0.9997	0.7966	0.7966
cycle t [ħ/MeV]	0.0455	0.921	0.9997	0.8455	0.8455
cycle t [ħ/MeV]	0.0470	0.916	0.9996	0.8952	0.8952
cycle t [ħ/MeV]	0.0485	0.911	0.9995	0.9459	0.9459
cycle t [ħ/MeV]	0.0500	0.906	0.9995	0.9974	0.9974
cycle t [ħ/MeV]	0.0515	0.901	0.9994	1.0498	1.0498
cycle t [ħ/MeV]	0.0530	0.896	0.9993	1.1028	1.1028
cycle t [ħ/MeV]	0.0545	0.891	0.9992	1.1566	1.1566
cycle t [ħ/MeV]	0.0560	0.885	0.9991	1.2110	1.2110
cycle t [ħ/MeV]	0.0575	0.880	0.9989	1.2661	1.2661
cycle t [ħ/MeV]	0.0590	0.874	0.9988	1.3216	1.3216
cycle t [ħ/MeV]	0.0605	0.869	0.9987	1.3777	1.3777
cycle t [ħ/MeV]	0.0620	0.863	0.9985	1.4342	1.4342
cycle t [ħ/MeV]	0.0635	0.857	0.9983	1.4911	1.4911
cycle t [ħ/MeV]	0.0650	0.851	0.9981	1.5484	1.5484
cycle t [ħ/MeV]	0.0665	0.845	0.9979	1.6060	1.6060
cycle t [ħ/MeV]	0.0680	0.839	0.9976	1.6639	1.6639
cycle t [ħ/MeV]	0.0695	0.833	0.9974	1.7219	1.7219
cycle t [ħ/MeV]	0.0710	0.827	0.9971	1.7801	1.7801
cycle t [ħ/MeV]	0.0725	0.821	0.9968	1.8385	1.8385
cycle t [ħ/MeV]	0.0740	0.814	0.9965	1.8969	1.8969
cycle t [ħ/MeV]	0.0755	0.808	0.9961	1.9554	1.9554
cycle t [ħ/MeV]	0.0770	0.802	0.9958	2.0138	2.0138
cycle t [ħ/MeV]	0.0785	0.795	0.9954	2.0722	2.0722
cycle t [ħ/MeV]	0.0800	0.789	0.9950	2.1304	2.1304
cycle t [ħ/MeV]	0.0815	0.782	0.9945	2.1886	2.1886
cycle t [ħ/MeV]	0.0830	0.776	0.9940	2.2465	2.2465
cycle t [ħ/MeV]	0.0845	0.769	0.9935	2.3042	2.3042
cycle t [ħ/MeV]	0.0860	0.763	0.9930	2.3617	2.3617
cycle t [ħ/MeV]	0.0875	0.756	0.9924	2.4188	2.4188
cycle t [ħ/MeV]	0.0890	0.749	0.9918	2.4756	2.4756
cycle t [ħ/MeV]	0.0905	0.743	0.9912	2.5321	2.5321
cycle t [ħ/MeV]	0.0920	0.736	0.9906	2.5881	2.5881
cycle t [ħ/MeV]	0.0935	0.729	0.9899	2.6437	2.6437
cycle t [ħ/MeV]	0.0950	0.722	0.9891	2.6988	2.6988
cycle t [ħ/MeV]	0.0965	0.716	0.9884	2.7534	2.7534
cycle t [ħ/MeV]	0.0980	0.709	0.9876	2.8074	2.8074
cycle t [ħ/MeV]	0.0995	0.702	0.9867	2.8609	2.8609
cycle t [ħ/MeV]	0.1010	0.696	0.9858	2.9138	2.9138
cycle t [ħ/MeV]	0.1025	0.689	0.9849	2.9660	2.9660
cycle t [ħ/MeV]	0.1040	0.682	0.9840	3.0176	3.0176
cycle t [ħ/MeV]	0.1055	0.675	0.9830	3.0685	3.0685
cycle t [ħ/MeV]	0.1070	0.669	0.9819	3.1188	3.1188
cycle t [ħ/MeV]	0.1085	0.662	0.9809	3.1683	3.1683
cycle t [ħ/MeV]	0.1100	0.655	0.9797	3.2170	3.2170
cycle t [ħ/MeV]	0.1115	0.648	0.9786	3.2650	3.2650
cycle t [ħ/MeV]	0.1130	0.642	0.9774	3.3122	3.3122
cycle t [ħ/MeV]	0.1145	0.635	0.9761	3.3586	3.3586
cycle t [ħ/MeV]	0.1160	0.629	0.9749	3.4042	3.4042
cycle t [ħ/MeV]	0.1175	0.622	0.9735	3.4489	3.4489
cycle t [ħ/MeV]	0.1190	0.616	0.9722	3.4928	3.4928
cycle t [ħ/MeV]	0.1205	0.609	0.9708	3.5359	3.5359
cycle t [ħ/MeV]	0.1220	0.603	0.9693	3.5780	3.5780
cycle t [ħ/MeV]	0.1235	0.596	0.9678	3.6193	3.6193
cycle t [ħ/MeV]	0.1250	0.590	0.9663	3.6597	3.6597
cycle t [ħ/MeV]	0.1265	0.584	0.9647	3.6992	3.6992
cycle t [ħ/MeV]	0.1280	0.577	0.9631	3.7378	3.7378
cycle t [ħ/MeV]	0.1295	0.571	0.9615	3.7755	3.7755
cycle t [ħ/MeV]	0.1310	0.565	0.9598	3.8122	3.8122
cycle t [ħ/MeV]	0.1325	0.559	0.9581	3.8481	3.8481
cycle t [ħ/MeV]	0.1340	0.553	0.9563	3.8830	3.8830
cycle t [ħ/MeV]	0.1355	0.547	0.9545	3.9170	3.9170
cycle t [ħ/MeV]	0.1370	0.541	0.9526	3.9501	3.9501
cycle t [ħ/MeV]	0.1385	0.535	0.9508	3.9822	3.9822
cycle t [ħ/MeV]	0.1400	0.530	0.9488	4.0134	4.0134
cycle t [ħ/MeV]	0.1415	0.524	0.9469	4.0437	4.0437
cycle t [ħ/MeV]	0.1430	0.518	0.9449	4.0731	4.0731
cycle t [ħ/MeV]	0.1445	0.513	0.9429	4.1015	4.1015
cycle t [ħ/MeV]	0.1460	0.508	0.9408	4.1291	4.1291
cycle t [ħ/MeV]	0.1475	0.502	0.9388	4.1557	4.1557
cycle t [ħ/MeV]	0.1490	0.497	0.9366	4.1815	4.1815
cycle t [ħ/MeV]	0.1505	0.492	0.9345	4.2063	4.2063
cycle t [ħ/MeV]	0.1520	0.487	0.9323	4.2302	4.2302
cycle t [ħ/MeV]	0.1535	0.482	0.9301	4.2533	4.2533
cycle t [ħ/MeV]	0.1550	0.477	0.9279	4.2755	4.2755
cycle t [ħ/MeV]	0.1565	0.473	0.9256	4.2968	4.2968
cycle t [ħ/MeV]	0.1580	0.468	0.9233	4.3173	4.3173
cycle t [ħ/MeV]	0.1595	0.464	0.9210	4.3369	4.3369
cycle t [ħ/MeV]	0.1610	0.460	0.9187	4.3557	4.3557
cycle t [ħ/MeV]	0.1625	0.455	0.9164	4.3736	4.3736
cycle t [ħ/MeV]	0.1640	0.451	0.9140	4.3907	4.3907
cycle t [ħ/MeV]	0.1655	0.447	0.9116	4.4071	4.4071
cycle t [ħ/MeV]	0.1670	0.444	0.9092	4.4226	4.4226
cycle t [ħ/MeV]	0.1685	0.440	0.9068	4.4373	4.4373
cycle t [ħ/MeV]	0.1700	0.436	0.9043	4.4513	4.4513
cycle t [ħ/MeV]	0.1715	0.433	0.9019	4.4644	4.4644
cycle t [ħ/MeV]	0.1730	0.430	0.8994	4.4769	4.4769
cycle t [ħ/MeV]	0.1745	0.427	0.8970	4.4885	4.4885
cycle t [ħ/MeV]	0.1760	0.424	0.8945	4.4995	4.4995
cycle t [ħ/MeV]	0.1775	0.421	0.8920	4.5097	4.5097
cycle t [ħ/MeV]	0.1790	0.418	0.8895	4.5192	4.5192
cycle t [ħ/MeV]	0.1805	0.416	0.8870	4.5280	4.5279
cycle t [ħ/MeV]	0.1820	0.414	0.8845	4.5360	4.5360
cycle t [ħ/MeV]	0.1835	0.412	0.8820	4.5434	4.5434
cycle t [ħ/MeV]	0.1850	0.410	0.8794	4.5502	4.5501
cycle t [ħ/MeV]	0.1865	0.408	0.8769	4.5562	4.5562
cycle t [ħ/MeV]	0.1880	0.406	0.8744	4.5616	4.5616
cycle t [ħ/MeV]	0.1895	0.405	0.8719	4.5663	4.5663
cycle t [ħ/MeV]	0.1910	0.404	0.8694	4.5704	4.5704
cycle t [ħ/MeV]	0.1925	0.402	0.8669	4.5738	4.5738
cycle t [ħ/MeV]	0.1940	0.402	0.8644	4.5766	4.5766
cycle t [ħ/MeV]	0.1955	0.401	0.8619	4.5788	4.5788
cycle t [ħ/MeV]	0.1970	0.400	0.8594	4.5803	4.5803
cycle t [ħ/MeV]	0.1985	0.400	0.8569	4.5813	4.5812
cycle t [ħ/MeV]	0.2000	0.400	0.8545	4.5816	4.5816
cycle t [ħ/MeV]	1.2010	0.400	0.2164	4.5815	4.5815
cycle t [ħ/MeV]	1.2025	0.400	0.2161	4.5815	4.5815
cycle t [ħ/MeV]	1.2040	0.401	0.2158	4.5813	4.5813
cycle t [ħ/MeV]	1.2055	0.401	0.2154	4.5811	4.5811
cycle t [ħ/MeV]	1.2070	0.402	0.2151	4.5808	4.5808
cycle t [ħ/MeV]	1.2085	0.403	0.2148	4.5805	4.5805
cycle t [ħ/MeV]	1.2100	0.404	0.2145	4.5801	4.5801
cycle t [ħ/MeV]	1.2115	0.406	0.2141	4.5796	4.5796
cycle t [ħ/MeV]	1.2130	0.407	0.2138	4.5791	4.5791
cycle t [ħ/MeV]	1.2145	0.409	0.2135	4.5785	4.5785
cycle t [ħ/MeV]	1.2160	0.411	0.2132	4.5779	4.5779
cycle t [ħ/MeV]	1.2175	0.413	0.2129	4.5772	4.5772
cycle t [ħ/MeV]	1.2190	0.415	0.2126	4.5765	4.5765
cycle t [ħ/MeV]	1.2205	0.418	0.2123	4.5756	4.5756
cycle t [ħ/MeV]	1.2220	0.420	0.2120	4.5748	4.5748
cycle t [ħ/MeV]	1.2235	0.423	0.2117	4.5739	4.5739
cycle t [ħ/MeV]	1.2250	0.426	0.2114	4.5729	4.5729
cycle t [ħ/MeV]	1.2265	0.429	0.2111	4.5719	4.5719
cycle t [ħ/MeV]	1.2280	0.432	0.2108	4.5708	4.5708
cycle t [ħ/MeV]	1.2295	0.435	0.2105	4.5696	4.5696
cycle t [ħ/MeV]	1.2310	0.439	0.2102	4.5684	4.5684
cycle t [ħ/MeV]	1.2325	0.442	0.2099	4.5672	4.5672
cycle t [ħ/MeV]	1.2340	0.446	0.2096	4.5659	4.5659
cycle t [ħ/MeV]	1.2355	0.450	0.2093	4.5645	4.5645
cycle t [ħ/MeV]	1.2370	0.454	0.2090	4.5631	4.5631
cycle t [ħ/MeV]	1.2385	0.458	0.2088	4.5617	4.5617
cycle t [ħ/MeV]	1.2400	0.462	0.2085	4.5602	4.5602
cycle t [ħ/MeV]	1.2415	0.467	0.2082	4.5587	4.5586
cycle t [ħ/MeV]	1.2430	0.471	0.2080	4.5571	4.5571
cycle t [ħ/MeV]	1.2445	0.476	0.2077	4.5554	4.5554
cycle t [ħ/MeV]	1.2460	0.481	0.2074	4.5537	4.5537
cycle t [ħ/MeV]	1.2475	0.485	0.2072	4.5520	4.5520
cycle t [ħ/MeV]	1.2490	0.490	0.2070	4.5502	4.5502
cycle t [ħ/MeV]	1.2505	0.495	0.2067	4.5484	4.5484
cycle t [ħ/MeV]	1.2520	0.501	0.2065	4.5465	4.5465
cycle t [ħ/MeV]	1.2535	0.506	0.2062	4.5446	4.5446
cycle t [ħ/MeV]	1.2550	0.511	0.2060	4.5426	4.5426
cycle t [ħ/MeV]	1.2565	0.517	0.2058	4.5406	4.5406
cycle t [ħ/MeV]	1.2580	0.522	0.2056	4.5386	4.5386
cycle t [ħ/MeV]	1.2595	0.528	0.2054	4.5365	4.5365
cycle t [ħ/MeV]	1.2610	0.533	0.2052	4.5343	4.5343
cycle t [ħ/MeV]	1.2625	0.539	0.2050	4.5321	4.5321
cycle t [ħ/MeV]	1.2640	0.545	0.2048	4.5299	4.5299
cycle t [ħ/MeV]	1.2655	0.551	0.2046	4.5276	4.5276
cycle t [ħ/MeV]	1.2670	0.557	0.2044	4.5253	4.5253
cycle t [ħ/MeV]	1.2685	0.563	0.2042	4.5229	4.5229
cycle t [ħ/MeV]	1.2700	0.569	0.2041	4.5204	4.5204
cycle t [ħ/MeV]	1.2715	0.575	0.2039	4.5180	4.5180
cycle t [ħ/MeV]	1.2730	0.581	0.2037	4.5154	4.5154
cycle t [ħ/MeV]	1.2745	0.588	0.2036	4.5129	4.5129
cycle t [ħ/MeV]	1.2760	0.594	0.2034	4.5103	4.5103
cycle t [ħ/MeV]	1.2775	0.600	0.2033	4.5076	4.5076
cycle t [ħ/MeV]	1.2790	0.607	0.2031	4.5049	4.5049
cycle t [ħ/MeV]	1.2805	0.613	0.2030	4.5021	4.5021
cycle t [ħ/MeV]	1.2820	0.620	0.2029	4.4993	4.4993
cycle t [ħ/MeV]	1.2835	0.626	0.2027	4.4965	4.4965
cycle t [ħ/MeV]	1.2850	0.633	0.2026	4.4936	4.4936
cycle t [ħ/MeV]	1.2865	0.640	0.2025	4.4907	4.4907
cycle t [ħ/MeV]	1.2880	0.646	0.2024	4.4877	4.4877
cycle t [ħ/MeV]	1.2895	0.653	0.2023	4.4847	4.4847
cycle t [ħ/MeV]	1.2910	0.660	0.2022	4.4816	4.4816
cycle t [ħ/MeV]	1.2925	0.666	0.2021	4.4785	4.4785
cycle t [ħ/MeV]	1.2940	0.673	0.2020	4.4753	4.4753
cycle t [ħ/MeV]	1.2955	0.680	0.2019	4.4721	4.4721
cycle t [ħ/MeV]	1.2970	0.687	0.2018	4.4689	4.4689
cycle t [ħ/MeV]	1.2985	0.693	0.2017	4.4656	4.4656
cycle t [ħ/MeV]	1.3000	0.700	0.2016	4.4623	4.4623
cycle t [ħ/MeV]	1.3015	0.707	0.2016	4.4589	4.4589
cycle t [ħ/MeV]	1.3030	0.713	0.2015	4.4555	4.4555
cycle t [ħ/MeV]	1.3045	0.720	0.2014	4.4521	4.4521
cycle t [ħ/MeV]	1.3060	0.727	0.2014	4.4486	4.4486
cycle t [ħ/MeV]	1.3075	0.734	0.2013	4.4451	4.4451
cycle t [ħ/MeV]	1.3090	0.740	0.2013	4.4416	4.4416
cycle t [ħ/MeV]	1.3105	0.747	0.2012	4.4381	4.4381
cycle t [ħ/MeV]	1.3120	0.754	0.2011	4.4345	4.4345
cycle t [ħ/MeV]	1.3135	0.760	0.2011	4.4309	4.4309
cycle t [ħ/MeV]	1.3150	0.767	0.2011	4.4273	4.4273
cycle t [ħ/MeV]	1.3165	0.774	0.2010	4.4236	4.4236
cycle t [ħ/MeV]	1.3180	0.780	0.2010	4.4200	4.4200
cycle t [ħ/MeV]	1.3195	0.787	0.2009	4.4163	4.4163
cycle t [ħ/MeV]	1.3210	0.793	0.2009	4.4126	4.4126
cycle t [ħ/MeV]	1.3225	0.800	0.2009	4.4089	4.4089
cycle t [ħ/MeV]	1.3240	0.806	0.2008	4.4052	4.4052
cycle t [ħ/MeV]	1.3255	0.812	0.2008	4.4015	4.4015
cycle t [ħ/MeV]	1.3270	0.819	0.2008	4.3978	4.3978
cycle t [ħ/MeV]	1.3285	0.825	0.2008	4.3941	4.3941
cycle t [ħ/MeV]	1.3300	0.831	0.2007	4.3904	4.3904
cycle t [ħ/MeV]	1.3315	0.837	0.2007	4.3867	4.3867
cycle t [ħ/MeV]	1.3330	0.843	0.2007	4.3830	4.3830
cycle t [ħ/MeV]	1.3345	0.849	0.2007	4.3793	4.3793
cycle t [ħ/MeV]	1.3360	0.855	0.2007	4.3756	4.3756
cycle t [ħ/MeV]	1.3375	0.861	0.2007	4.3719	4.3719
cycle t [ħ/MeV]	1.3390	0.867	0.2007	4.3683	4.3683
cycle t [ħ/MeV]	1.3405	0.872	0.2007	4.3646	4.3646
cycle t [ħ/MeV]	1.3420	0.878	0.2007	4.3610	4.3610
cycle t [ħ/MeV]	1.3435	0.883	0.2007	4.3574	4.3574
cycle t [ħ/MeV]	1.3450	0.889	0.2007	4.3539	4.3538
cycle t [ħ/MeV]	1.3465	0.894	0.2007	4.3503	4.3503
cycle t [ħ/MeV]	1.3480	0.899	0.2007	4.3468	4.3468
cycle t [ħ/MeV]	1.3495	0.905	0.2007	4.3433	4.3433
cycle t [ħ/MeV]	1.3510	0.910	0.2007	4.3399	4.3399
cycle t [ħ/MeV]	1.3525	0.915	0.2007	4.3365	4.3365
cycle t [ħ/MeV]	1.3540	0.919	0.2007	4.3331	4.3331
cycle t [ħ/MeV]	1.3555	0.924	0.2007	4.3298	4.3298
cycle t [ħ/MeV]	1.3570	0.929	0.2007	4.3265	4.3265
cycle t [ħ/MeV]	1.3585	0.933	0.2007	4.3233	4.3233
cycle t [ħ/MeV]	1.3600	0.938	0.2008	4.3201	4.3201
cycle t [ħ/MeV]	1.3615	0.942	0.2008	4.3170	4.3170
cycle t [ħ/MeV]	1.3630	0.946	0.2008	4.3139	4.3139
cycle t [ħ/MeV]	1.3645	0.950	0.2008	4.3110	4.3110
cycle t [ħ/MeV]	1.3660	0.954	0.2008	4.3080	4.3080
cycle t [ħ/MeV]	1.3675	0.958	0.2008	4.3052	4.3052
cycle t [ħ/MeV]	1.3690	0.961	0.2008	4.3024	4.3024
cycle t [ħ/MeV]	1.3705	0.965	0.2008	4.2997	4.2997
cycle t [ħ/MeV]	1.3720	0.968	0.2008	4.2971	4.2971
cycle t [ħ/MeV]	1.3735	0.971	0.2008	4.2946	4.2946
cycle t [ħ/MeV]	1.3750	0.974	0.2009	4.2922	4.2922
cycle t [ħ/MeV]	1.3765	0.977	0.2009	4.2899	4.2899
cycle t [ħ/MeV]	1.3780	0.980	0.2009	4.2877	4.2877
cycle t [ħ/MeV]	1.3795	0.982	0.2009	4.2856	4.2856
cycle t [ħ/MeV]	1.3810	0.985	0.2009	4.2836	4.2836
cycle t [ħ/MeV]	1.3825	0.987	0.2009	4.2817	4.2817
cycle t [ħ/MeV]	1.3840	0.989	0.2009	4.2800	4.2799
cycle t [ħ/MeV]	1.3855	0.991	0.2009	4.2783	4.2783
cycle t [ħ/MeV]	1.3870	0.993	0.2009	4.2768	4.2768
cycle t [ħ/MeV]	1.3885	0.994	0.2009	4.2755	4.2755
cycle t [ħ/MeV]	1.3900	0.996	0.2009	4.2743	4.2743
cycle t [ħ/MeV]	1.3915	0.997	0.2009	4.2732	4.2732
cycle t [ħ/MeV]	1.3930	0.998	0.2009	4.2723	4.2723
cycle t [ħ/MeV]	1.3945	0.999	0.2009	4.2716	4.2716
cycle t [ħ/MeV]	1.3960	0.999	0.2009	4.2710	4.2710
cycle t [ħ/MeV]	1.3975	1.000	0.2009	4.2706	4.2706
cycle t [ħ/MeV]	1.3990	1.000	0.2009	4.2704	4.2704
cycle t [ħ/MeV]	1.4000	1.000	0.2009	4.2703	4.2703
ramp τ [ħ/MeV]	0.0002		0.2369
ramp τ [ħ/MeV]	0.02		0.2305
ramp τ [ħ/MeV]	0.2		0.2009
ramp τ [ħ/MeV]	2		0.1128
profile τ [ħ/Bd]	0.05		0.7912
profile τ [ħ/Bd]	1		0.9462
profile τ [ħ/Bd]	10		0.9995

In the separate Gaussian bound-to-bound example, making the change slower instead raises the final bound fraction from about 0.79 to 0.95 to 0.9995. The two examples support path dependence, not a general rule that slower changes are safer. Whether binding is lost along the path, how the system is prepared, and what work is supplied all matter. This gives the arrival/departure hypothesis a calculable material consequence, but neither prescribed path supplies an actual field transition, its frequency, or a prediction that all nuclei are destroyed.

Population calculations add another constraint. With evaluated-analogue reaction rates and a hypothetical 2.5-MeV dineutron, the calculated helium nucleon fraction changes from about 0.2469 to 0.2569, while $10^5\mathrm{D/H}$ changes from about 2.458 to 2.274. A 0.1-MeV bound dineutron produces little change in the same fixed-other-bindings model.⁵

Primordial abundances depend on the reaction model as well as hypothetical dineutron binding. The plotted observational comparisons do not validate the alternative interactions.

Bnn =

0.1 MeV2.0 MeV2.5 MeV3.0 MeV3.2 MeV

nn binding

2.5 MeV

Helium nucleon fraction

0.2569

D/H × 10⁵

2.274

Peak nn per baryon

3.98e−4

Conditional χ²

94.9

pause

data

Actual PRyMordial integrations retain fixed ordinary masses except Bnn. New transfer rates are explicit closures. Replacing one analogy by a solved LO amplitude has cutoff/refinement and above-breakup S-wave tail controls, but is a sensitivity test: that same force also shifts tritium binding, which this network leaves fixed. It is not a matched nuclear Hamiltonian. The likelihood uses LBT 2026 He4/H and Cooke 2018 log(D/H), with ordinary-rate, neutron-lifetime and stated baryon-prior covariance recomputed for ordinary BBN and the fixed-binding analogue model. Connected binding points are a guide, not an interpolated exclusion limit. Hypothetical-amplitude uncertainty is not included in those covariance bars.

case	nn binding [MeV]	transfer scale	Helium nucleon fraction	D/H × 105	Peak nn per baryon	Conditional χ2
standard-recovery	0.1	0	0.2469	2.458	0	2.24
B0.1	0.1	1	0.2469	2.458	1.10e−14
B2.0	2.0	1	0.2471	2.458	4.35e−6
B2.5	2.5	1	0.2569	2.274	3.98e−4	94.88
B3.0	3.0	1	0.2711	0.731	5.02e−3
B3.2	3.2	1	0.2760	0.010	1.08e−2
B2.5-scale0.2	2.5	0.2	0.2530	2.402	9.08e−4
B2.5-scale5.0	2.5	5	0.2609	1.981	1.67e−4
L600-N144-lower	2.5		0.2569	2.256	3.98e−4
L1200-N144-lower	2.5		0.2569	2.255	3.98e−4
L1200-N144-upper	2.5		0.2569	2.255	3.98e−4
L1200-N192-lower	2.5		0.2569	2.255	3.98e−4
Published abundance ±1σ, LBT 2026 (arXiv:2601.22238)			0.2458 ± 0.0013
Published abundance ±1σ, Cooke et al. 2018 (arXiv:1710.11129)				2.527 ± 0.030

Thus “a new bound nucleus exists” is insufficient to predict a radically different material inventory. Formation and destruction rates can make weak binding nearly inconsequential in one model and stronger binding consequential in another. For the original hypothesis, this establishes a route worth calculating, not a universal binding threshold beyond which hydrogen, stars or life disappear. A physical prediction requires correlated nuclear masses and forward and reverse reactions from one interaction throughout the network.

3 October 2026 — The parts do not yet describe one altered star

The next comparison tests whether the separately calculated effects can actually be combined. Substituting a three-body transfer rate into the primordial network lowers $10^5\mathrm{D/H}$ further, to about 2.255. But the interaction used for that rate also gives tritium binding of 11.767 MeV, while the network retains the ordinary 8.482 MeV. That mismatch changes reaction energies and reverse-reaction balance. The more accurate individual rate therefore does not make the resulting abundance a more accurate prediction of one physical world.⁵

The stellar interface exposes the same problem across larger scales. One attempted connection supplies dilute-gas inputs at a density of $10^{20}\,\mathrm{cm}^{-3}$ and temperatures up to 0.1 MeV to a stellar cell with reference baryon density near $1.9\times10^{32}\,\mathrm{cm}^{-3}$ and temperature about 0.263 MeV. Those inputs have not been established in that regime. Other connections omit active species or combine incompatible interactions and currents. If particle masses change with the field, the associated field–matter energy exchange must also enter the stellar energy budget.⁶

These are failures to specify one consistent physical model. They are different from a numerical solver failing to solve a model that has already been specified. The advanced stellar calculations also have the latter problem: some complete coupled derivatives retain the wrong sign even after selected local derivatives improve. A stopped integration cannot be interpreted as a physical endpoint or as a star that cannot burn.⁷

For the hypothesis, this prevents a cumulative claim of confirmation from assembling individually interesting results. A bound state, a reaction rate and a stellar solution computed under incompatible assumptions do not jointly demonstrate an alternative habitable or uninhabitable phase. Conversely, these interface and solver failures do not refute all such phases. The missing test is a comparison of ordinary and altered stars using consistent masses, species, currents, thermodynamics and field work, followed through a numerically reliable evolution to released material.

5 October 2026 — Which parts of the hypothesis are now constrained?

Threshold precision has not established a new decay clock

Finite nuclear mass shifts the modeled neutral helium-3 capture threshold by about −0.0127 eV. A separate static electron-loop calculation contributes about +18.86 micro-eV for the neutral atom and +14.10 micro-eV for the ion. These corrections matter to the location of a sufficiently close threshold. Ordinary neutral helium-3, however, remains roughly 18.6 keV short of the ground-state capture channel—over a million times the finite-mass correction in magnitude. These components do not open that ordinary channel.⁸

Two independently scaled atomic threshold corrections and separate energy and contact refinement tests. The final energy test passes; the contact response fails its fixed one-percent gate.

Atomic channel

Neutral He-3He-3 ion

Energy basis refinement

4 → 66 → 88 → 10

finite mass [meV]

−12.68657

static VP [μeV]

+18.85790

energy / gate

0.275

contact / gate

13.548

Final energy component passes; final contact fails. No corrected lifetime.

data

Finite nuclear mass and static electronic vacuum polarization are separate threshold contributions. No complete QED threshold or weak lifetime is calculated. Energy refinement is not monotonically variational; the contact result is the final failed basis comparison, unchanged by the basis selector.

Channel / test	Component / unit	Value
Neutral He-3	finite mass [meV]	-12.686567936427195
Neutral He-3	static VP [μeV]	18.8578955674
He-3 ion	finite mass [meV]	-9.900656411872433
He-3 ion	static VP [μeV]	14.100038796
4 → 6	relative energy refinement	0.00021704920825360574
6 → 8	relative energy refinement	0.00012239929741864053
8 → 10	relative energy refinement	5.491201982377181e-5
Final contact	refinement [%]	13.5484
Energy gate	relative	0.0002
Contact gate	[%]	1

Even if a separately derived nuclear change brought a channel near its boundary, an accurately located threshold would not determine its lifetime. The radiative correction to the electron contact density still changes by about 13.55% under the final basis comparison, beyond the chosen 1% criterion. A roughly 7.3% recoil reduction in one spectator-electron final-state projection is likewise not a 7.3% reduction of the inclusive capture rate, which sums over the allowed final states.

This advances the original lifetime question by separating whether conversion is allowed from how quickly populated matter converts. It supplies small energy components and identifies a missing rate calculation; it does not establish a new short-lived form of ordinary helium, a biological timescale, or the erosion of a world's ingredients under a viable field history.

Ordinary nuclear uncertainty must remain separate from the missing field response too. In one released force family, fitted parameter correlations give a neutron-pair scattering-length interval of about −20.6 to −18.0 fm. Independently shuffling those same parameter columns produces roughly −247 to +133 fm. The shuffle changes the joint model; its apparent threshold sensitivity is not additional physical uncertainty. Omitted-order uncertainty also broadens the deuteron binding prediction beyond fitted-parameter uncertainty.⁹

A defensible crossing calculation therefore needs both an uncertainty model for the ordinary interaction and a correlated response to the proposed field. Improving the former does not determine the latter. The local no-crossing result from 1 October is not superseded by these more extensive ordinary-phase calculations.

Coupled chemical timescales are calculable in narrower systems

An ordinary CO/H₂ calculation evolves rotational populations, hydrogen spin conversion and gas energy together. Starting with gas and a Planck radiation bath at 20 K, and an initial ortho-hydrogen fraction of 0.1, proton-mediated conversion produces transient temperature increases of about 0.20 K and 0.82 K relative to matched no-conversion controls at hydrogen-molecule densities of $10^3$ and $10^5\,\mathrm{cm}^{-3}$. The ortho fractions end the modeled interval near 0.0036. The model fixes the volume, molecular totals, abundance ratios and radiation bath; it contains no alternative field background.¹⁰

This is a concrete instance of the compatible-timescale idea: conversion releases energy while radiation removes it, and their joint evolution differs from evolving either process alone. It supports studying the coupled dynamics. It does not show that the timing becomes incompatible elsewhere, or that an organism can or cannot survive it. Later numerical integrations with tiny negative population tails cannot supply that missing physical conclusion; their entropy is undefined, and they must be distinguished from these selected positive-population calculations.¹¹

The ordinary oxygen calculation supplies a different prerequisite. Its multireference electronic model places the triplet ground state below two relaxed singlet families by about 0.947 and 1.451 eV. The ordering survives the tested active-space change, while the quantitative gaps shift. This improves the ordinary baseline; it has not calculated field-dependent reaction barriers or oxygen–fuel reaction rates.¹²

Neither result establishes the original conjecture's stronger claim of a narrow chemical viability window. That requires comparing functional dynamics in two physically specified backgrounds, including the range of environments in which the chemistry could operate. A spectrum or a cooling history in the ordinary background is a necessary ingredient for such a comparison, not its outcome.

A persistent solution is not yet a populated field history

The tested positive extra-harmonic QCD family encounters a physical obstruction. A one-percent pion-mass decrease carries at least $3.295\times10^{-6}\,\mathrm{GeV}^4$ of excess energy in the stated construction, about $9\times10^{40}$ times its present-epoch reference critical density. Within this family, varying the axion decay constant changes motion times and length scales without removing that fixed-displacement energy cost. The roughly 0.0015-second curvature scale is a local dynamical timescale, not a tunneling lifetime.¹³

Potential curves mark stationary minima alongside the pion and neutron–proton response. Symmetric response curves flatten at zero; an extra harmonic is required for new finite-angle minima.

β =

00.10.5

Effective QCD angle

+0.642π

θ

+0.642π

V

0.405

m_π²/ordinary

0.6085

minimum

yes

A 1% lighter pion carries an excess energy of at least 3.295×10⁻⁶ GeV⁴, about 9×10⁴⁰ times the reference cosmic density. Its curvature time is 0.0015 s: an energy scale, not a lifetime. This is a leading hadronic response, not a completed nuclear or stellar prediction.

pause

data

Leading chiral response is quadratic near θ=0. The ordinary QCD potential has no distinct stable nonzero-θ phase; adding a declared extra harmonic creates new extrema. These illustrative minima do not solve vacuum energy, formation or observational constraints. The two-nucleon baseline source audit failed, so no heavy-nuclear or stellar prediction follows from these curves. θ and −θ share CP-even masses but differ in CP-odd observables; 2π-related backgrounds are equivalent.

θ/π	V, β = 0	V, β = 0.1	V, β = 0.5	Pion mass squared / ordinary
−1.000	0.6542	0.8542	1.6542	0.3458
−0.917	0.6331	0.8038	1.4867	0.3669
−0.833	0.5774	0.6774	1.0774	0.4226
−0.750	0.5015	0.5308	0.6479	0.4985
−0.667	0.4172	0.4172	0.4172	0.5828
−0.583	0.3323	0.3616	0.4787	0.6677
−0.500	0.2518	0.3518	0.7518	0.7482
−0.417	0.1792	0.3499	1.0327	0.8208
−0.333	0.1169	0.3169	1.1169	0.8831
−0.250	0.0667	0.2374	0.9202	0.9333
−0.167	0.0299	0.1299	0.5299	0.9701
−0.083	0.0075	0.0368	0.1540	0.9925
0.000	0.0000	0.0000	0.0000	1.0000
0.083	0.0075	0.0368	0.1540	0.9925
0.167	0.0299	0.1299	0.5299	0.9701
0.250	0.0667	0.2374	0.9202	0.9333
0.333	0.1169	0.3169	1.1169	0.8831
0.417	0.1792	0.3499	1.0327	0.8208
0.500	0.2518	0.3518	0.7518	0.7482
0.583	0.3323	0.3616	0.4787	0.6677
0.667	0.4172	0.4172	0.4172	0.5828
0.750	0.5015	0.5308	0.6479	0.4985
0.833	0.5774	0.6774	1.0774	0.4226
0.917	0.6331	0.8038	1.4867	0.3669
1.000	0.6542	0.8542	1.6542	0.3458

This rejects the proposed ordinary late-time galactic realization in this family. It does not prove that all scalar backgrounds or all cosmological epochs fail. A compensating potential or a confined region would be a different model whose energy accounting and material response must be established, rather than assumed to inherit the desired nuclear effect.

The confinement calculation then separates existence from arrival. In the prescribed dense cloud, a seed of 0.001 radians can grow toward the displaced configuration. Assigning the assumed ambient dark-matter density of $0.4\,\mathrm{GeV/cm}^3$ entirely to this axion instead gives a seed of only about $5.45\times10^{-19}$ radians. In the modeled expansion it reaches about $2.35\times10^{-9}$ radians over 80 microseconds, never acquiring appreciable material contrast before the cloud dilutes.¹⁴

That is a failed formation route under a specified initial condition, not merely an unfinished stability calculation. It weakens the claim that this candidate naturally supplies alternative regions. It does not exclude a different progenitor or seed distribution. Conserved-particle pockets offer a separate stabilization example, but the tested dark pockets have no ordinary-matter coupling and therefore supply no changed chemistry merely by persisting.¹⁵

For the arrival/departure hypothesis, three quantities still require distinct physical predictions: the probability of forming a region, its lifetime in its actual environment, and the time its material history needs to become suitable. Neither a stationary minimum nor a microscopic curvature time determines that sequence.

Historical records constrain specified histories, not an arbitrary past

The isotope calculations show why a surviving record need not identify the history that produced it. A radioactive abundance integrates the decay rate over its closure interval. Excursion size, duration and epoch can therefore compensate for one another when the closure chronology is free. Several isotope systems looking through the same temporal window need not remove that degeneracy.¹⁶¹³

The joint Re/Os–W–Pb/Pb calculation makes the dependence quantitative. For an excursion centered two billion years ago, the reference laboratory calibration gives approximately the following 95% support on the retained parameter grid:

The longer excursion is more constrained because it changes the integrated decay history for longer. These are conditional, sampled-grid intervals, not bounds on every possible field trajectory. Both reference intervals include zero change. For the one-billion-year case, two alternative laboratory calibrations move the supported range to about −8 to +13 ppm and −9 to −5.5 ppm respectively. The latter excludes zero within its assumptions; that dependence on calibration prevents interpreting the displaced optimum as an established detection.¹⁷

The inferred excursion depends on its duration and on the laboratory calibration used in the joint chronology.

excursion:

1 Gyr0.1 GyrRe calibrations

Δα =

0.0 ppm

Δα/α

0.0 ppm

Twice profile ΔNLL

1.29

95% set

inside

interval

−9.0 to +2.5 ppm

pause

data

Real Re/Os and corrected W observations are combined with an affected compressed Pb/Pb anchor. The left two panels use the historical Lindner direct half-life. The right panel substitutes the later Galeazzi and Arnaboldi measurements, treating their quoted statistical/systematic errors as independent Gaussian terms. These alternatives are not combined into a consensus. Unknown x/y correlation, additional common W error and W-to-Re closure delay are zero in this display; the full results scan alternatives. A calibration-dependent displacement is not a detection of changing constants.

series	Past alpha change [ppm]	Twice profile ΔNLL
1 Gyr	−20.0	37.2505
1 Gyr	−19.5	34.7846
1 Gyr	−19.0	32.4179
1 Gyr	−18.5	30.1489
1 Gyr	−18.0	27.9760
1 Gyr	−17.5	25.8975
1 Gyr	−17.0	23.9118
1 Gyr	−16.5	22.0174
1 Gyr	−16.0	20.2127
1 Gyr	−15.5	18.4962
1 Gyr	−15.0	16.8663
1 Gyr	−14.5	15.3215
1 Gyr	−14.0	13.8603
1 Gyr	−13.5	12.4812
1 Gyr	−13.0	11.1828
1 Gyr	−12.5	9.9637
1 Gyr	−12.0	8.8223
1 Gyr	−11.5	7.7572
1 Gyr	−11.0	6.7672
1 Gyr	−10.5	5.8506
1 Gyr	−10.0	5.0063
1 Gyr	−9.5	4.2328
1 Gyr	−9.0	3.5288
1 Gyr	−8.5	2.8929
1 Gyr	−8.0	2.3238
1 Gyr	−7.5	1.8203
1 Gyr	−7.0	1.3811
1 Gyr	−6.5	1.0048
1 Gyr	−6.0	0.6902
1 Gyr	−5.5	0.4361
1 Gyr	−5.0	0.2412
1 Gyr	−4.5	0.1044
1 Gyr	−4.0	0.0244
1 Gyr	−3.5	0.0000
1 Gyr	−3.0	0.0301
1 Gyr	−2.5	0.1135
1 Gyr	−2.0	0.2490
1 Gyr	−1.5	0.4356
1 Gyr	−1.0	0.6721
1 Gyr	−0.5	0.9574
1 Gyr	0.0	1.2904
1 Gyr	+0.5	1.6700
1 Gyr	+1.0	2.0952
1 Gyr	+1.5	2.5649
1 Gyr	+2.0	3.0781
1 Gyr	+2.5	3.6337
1 Gyr	+3.0	4.2307
1 Gyr	+3.5	4.8682
1 Gyr	+4.0	5.5451
1 Gyr	+4.5	6.2605
1 Gyr	+5.0	7.0133
1 Gyr	+5.5	7.8027
1 Gyr	+6.0	8.6277
1 Gyr	+6.5	9.4874
1 Gyr	+7.0	10.3809
1 Gyr	+7.5	11.3072
1 Gyr	+8.0	12.2655
1 Gyr	+8.5	13.2549
1 Gyr	+9.0	14.2745
1 Gyr	+9.5	15.3235
1 Gyr	+10.0	16.4009
1 Gyr	+10.5	17.5061
1 Gyr	+11.0	18.6382
1 Gyr	+11.5	19.7963
1 Gyr	+12.0	20.9796
1 Gyr	+12.5	22.1874
1 Gyr	+13.0	23.4189
1 Gyr	+13.5	24.6734
1 Gyr	+14.0	25.9500
1 Gyr	+14.5	27.2480
1 Gyr	+15.0	28.5667
1 Gyr	+15.5	29.9054
1 Gyr	+16.0	31.2633
1 Gyr	+16.5	32.6398
1 Gyr	+17.0	34.0341
1 Gyr	+17.5	35.4456
1 Gyr	+18.0	36.8737
1 Gyr	+18.5	38.3175
1 Gyr	+19.0	39.7766
1 Gyr	+19.5	41.2502
1 Gyr	+20.0	42.7378
0.1 Gyr	−120.0	48.3515
0.1 Gyr	−117.0	43.8570
0.1 Gyr	−114.0	39.6794
0.1 Gyr	−111.0	35.8026
0.1 Gyr	−108.0	32.2111
0.1 Gyr	−105.0	28.8899
0.1 Gyr	−102.0	25.8245
0.1 Gyr	−99.0	23.0011
0.1 Gyr	−96.0	20.4062
0.1 Gyr	−93.0	18.0271
0.1 Gyr	−90.0	15.8515
0.1 Gyr	−87.0	13.8673
0.1 Gyr	−84.0	12.0634
0.1 Gyr	−81.0	10.4287
0.1 Gyr	−78.0	8.9529
0.1 Gyr	−75.0	7.6259
0.1 Gyr	−72.0	6.4382
0.1 Gyr	−69.0	5.3806
0.1 Gyr	−66.0	4.4443
0.1 Gyr	−63.0	3.6211
0.1 Gyr	−60.0	2.9029
0.1 Gyr	−57.0	2.2822
0.1 Gyr	−54.0	1.7517
0.1 Gyr	−51.0	1.3045
0.1 Gyr	−48.0	0.9342
0.1 Gyr	−45.0	0.6345
0.1 Gyr	−42.0	0.3995
0.1 Gyr	−39.0	0.2237
0.1 Gyr	−36.0	0.1018
0.1 Gyr	−33.0	0.0288
0.1 Gyr	−30.0	0.0000
0.1 Gyr	−27.0	0.0110
0.1 Gyr	−24.0	0.0575
0.1 Gyr	−21.0	0.1358
0.1 Gyr	−18.0	0.2420
0.1 Gyr	−15.0	0.3728
0.1 Gyr	−12.0	0.5249
0.1 Gyr	−9.0	0.6954
0.1 Gyr	−6.0	0.8813
0.1 Gyr	−3.0	1.0802
0.1 Gyr	0.0	1.2896
0.1 Gyr	+3.0	1.5073
0.1 Gyr	+6.0	1.7312
0.1 Gyr	+9.0	1.9595
0.1 Gyr	+12.0	2.1903
0.1 Gyr	+15.0	2.4222
0.1 Gyr	+18.0	2.6537
0.1 Gyr	+21.0	2.8836
0.1 Gyr	+24.0	3.1106
0.1 Gyr	+27.0	3.3337
0.1 Gyr	+30.0	3.5520
0.1 Gyr	+33.0	3.7647
0.1 Gyr	+36.0	3.9711
0.1 Gyr	+39.0	4.1706
0.1 Gyr	+42.0	4.3627
0.1 Gyr	+45.0	4.5470
0.1 Gyr	+48.0	4.7230
0.1 Gyr	+51.0	4.8906
0.1 Gyr	+54.0	5.0496
0.1 Gyr	+57.0	5.1999
0.1 Gyr	+60.0	5.3414
0.1 Gyr	+63.0	5.4740
0.1 Gyr	+66.0	5.5979
0.1 Gyr	+69.0	5.7131
0.1 Gyr	+72.0	5.8199
0.1 Gyr	+75.0	5.9183
0.1 Gyr	+78.0	6.0087
0.1 Gyr	+81.0	6.0912
0.1 Gyr	+84.0	6.1662
0.1 Gyr	+87.0	6.2340
0.1 Gyr	+90.0	6.2950
0.1 Gyr	+93.0	6.3495
0.1 Gyr	+96.0	6.3978
0.1 Gyr	+99.0	6.4405
0.1 Gyr	+102.0	6.4779
0.1 Gyr	+105.0	6.5105
0.1 Gyr	+108.0	6.5386
0.1 Gyr	+111.0	6.5629
0.1 Gyr	+114.0	6.5836
0.1 Gyr	+117.0	6.6013
0.1 Gyr	+120.0	6.6165
Lindner-1989	−20.0	37.2506
Lindner-1989	−19.5	34.7846
Lindner-1989	−19.0	32.4180
Lindner-1989	−18.5	30.1490
Lindner-1989	−18.0	27.9761
Lindner-1989	−17.5	25.8976
Lindner-1989	−17.0	23.9119
Lindner-1989	−16.5	22.0175
Lindner-1989	−16.0	20.2128
Lindner-1989	−15.5	18.4963
Lindner-1989	−15.0	16.8663
Lindner-1989	−14.5	15.3215
Lindner-1989	−14.0	13.8604
Lindner-1989	−13.5	12.4813
Lindner-1989	−13.0	11.1829
Lindner-1989	−12.5	9.9638
Lindner-1989	−12.0	8.8224
Lindner-1989	−11.5	7.7573
Lindner-1989	−11.0	6.7672
Lindner-1989	−10.5	5.8507
Lindner-1989	−10.0	5.0064
Lindner-1989	−9.5	4.2329
Lindner-1989	−9.0	3.5289
Lindner-1989	−8.5	2.8930
Lindner-1989	−8.0	2.3239
Lindner-1989	−7.5	1.8204
Lindner-1989	−7.0	1.3812
Lindner-1989	−6.5	1.0049
Lindner-1989	−6.0	0.6903
Lindner-1989	−5.5	0.4362
Lindner-1989	−5.0	0.2413
Lindner-1989	−4.5	0.1045
Lindner-1989	−4.0	0.0245
Lindner-1989	−3.5	0.0001
Lindner-1989	−3.0	0.0302
Lindner-1989	−2.5	0.1136
Lindner-1989	−2.0	0.2491
Lindner-1989	−1.5	0.4357
Lindner-1989	−1.0	0.6722
Lindner-1989	−0.5	0.9575
Lindner-1989	0.0	1.2905
Lindner-1989	+0.5	1.6701
Lindner-1989	+1.0	2.0953
Lindner-1989	+1.5	2.5650
Lindner-1989	+2.0	3.0781
Lindner-1989	+2.5	3.6338
Lindner-1989	+3.0	4.2308
Lindner-1989	+3.5	4.8683
Lindner-1989	+4.0	5.5452
Lindner-1989	+4.5	6.2605
Lindner-1989	+5.0	7.0134
Lindner-1989	+5.5	7.8028
Lindner-1989	+6.0	8.6278
Lindner-1989	+6.5	9.4875
Lindner-1989	+7.0	10.3810
Lindner-1989	+7.5	11.3073
Lindner-1989	+8.0	12.2656
Lindner-1989	+8.5	13.2550
Lindner-1989	+9.0	14.2746
Lindner-1989	+9.5	15.3235
Lindner-1989	+10.0	16.4010
Lindner-1989	+10.5	17.5062
Lindner-1989	+11.0	18.6382
Lindner-1989	+11.5	19.7963
Lindner-1989	+12.0	20.9797
Lindner-1989	+12.5	22.1875
Lindner-1989	+13.0	23.4190
Lindner-1989	+13.5	24.6734
Lindner-1989	+14.0	25.9500
Lindner-1989	+14.5	27.2481
Lindner-1989	+15.0	28.5668
Lindner-1989	+15.5	29.9054
Lindner-1989	+16.0	31.2634
Lindner-1989	+16.5	32.6399
Lindner-1989	+17.0	34.0342
Lindner-1989	+17.5	35.4457
Lindner-1989	+18.0	36.8738
Lindner-1989	+18.5	38.3176
Lindner-1989	+19.0	39.7767
Lindner-1989	+19.5	41.2503
Lindner-1989	+20.0	42.7378
Galeazzi-2001	−20.0	21.3263
Galeazzi-2001	−19.5	20.2099
Galeazzi-2001	−19.0	19.1303
Galeazzi-2001	−18.5	18.0870
Galeazzi-2001	−18.0	17.0794
Galeazzi-2001	−17.5	16.1070
Galeazzi-2001	−17.0	15.1690
Galeazzi-2001	−16.5	14.2651
Galeazzi-2001	−16.0	13.3946
Galeazzi-2001	−15.5	12.5569
Galeazzi-2001	−15.0	11.7515
Galeazzi-2001	−14.5	10.9778
Galeazzi-2001	−14.0	10.2354
Galeazzi-2001	−13.5	9.5236
Galeazzi-2001	−13.0	8.8420
Galeazzi-2001	−12.5	8.1899
Galeazzi-2001	−12.0	7.5670
Galeazzi-2001	−11.5	6.9727
Galeazzi-2001	−11.0	6.4064
Galeazzi-2001	−10.5	5.8677
Galeazzi-2001	−10.0	5.3561
Galeazzi-2001	−9.5	4.8711
Galeazzi-2001	−9.0	4.4122
Galeazzi-2001	−8.5	3.9789
Galeazzi-2001	−8.0	3.5707
Galeazzi-2001	−7.5	3.1873
Galeazzi-2001	−7.0	2.8280
Galeazzi-2001	−6.5	2.4925
Galeazzi-2001	−6.0	2.1803
Galeazzi-2001	−5.5	1.8910
Galeazzi-2001	−5.0	1.6241
Galeazzi-2001	−4.5	1.3791
Galeazzi-2001	−4.0	1.1557
Galeazzi-2001	−3.5	0.9534
Galeazzi-2001	−3.0	0.7718
Galeazzi-2001	−2.5	0.6104
Galeazzi-2001	−2.0	0.4689
Galeazzi-2001	−1.5	0.3469
Galeazzi-2001	−1.0	0.2439
Galeazzi-2001	−0.5	0.1595
Galeazzi-2001	0.0	0.0934
Galeazzi-2001	+0.5	0.0452
Galeazzi-2001	+1.0	0.0145
Galeazzi-2001	+1.5	0.0008
Galeazzi-2001	+2.0	0.0039
Galeazzi-2001	+2.5	0.0233
Galeazzi-2001	+3.0	0.0588
Galeazzi-2001	+3.5	0.1098
Galeazzi-2001	+4.0	0.1762
Galeazzi-2001	+4.5	0.2574
Galeazzi-2001	+5.0	0.3532
Galeazzi-2001	+5.5	0.4633
Galeazzi-2001	+6.0	0.5872
Galeazzi-2001	+6.5	0.7248
Galeazzi-2001	+7.0	0.8755
Galeazzi-2001	+7.5	1.0391
Galeazzi-2001	+8.0	1.2153
Galeazzi-2001	+8.5	1.4038
Galeazzi-2001	+9.0	1.6043
Galeazzi-2001	+9.5	1.8163
Galeazzi-2001	+10.0	2.0398
Galeazzi-2001	+10.5	2.2742
Galeazzi-2001	+11.0	2.5194
Galeazzi-2001	+11.5	2.7750
Galeazzi-2001	+12.0	3.0408
Galeazzi-2001	+12.5	3.3165
Galeazzi-2001	+13.0	3.6018
Galeazzi-2001	+13.5	3.8963
Galeazzi-2001	+14.0	4.2000
Galeazzi-2001	+14.5	4.5124
Galeazzi-2001	+15.0	4.8333
Galeazzi-2001	+15.5	5.1625
Galeazzi-2001	+16.0	5.4996
Galeazzi-2001	+16.5	5.8445
Galeazzi-2001	+17.0	6.1969
Galeazzi-2001	+17.5	6.5565
Galeazzi-2001	+18.0	6.9231
Galeazzi-2001	+18.5	7.2965
Galeazzi-2001	+19.0	7.6764
Galeazzi-2001	+19.5	8.0626
Galeazzi-2001	+20.0	8.4548
Arnaboldi-2003	−20.0	105.0206
Arnaboldi-2003	−19.5	102.4986
Arnaboldi-2003	−19.0	99.8554
Arnaboldi-2003	−18.5	97.0706
Arnaboldi-2003	−18.0	94.1169
Arnaboldi-2003	−17.5	90.9558
Arnaboldi-2003	−17.0	87.5294
Arnaboldi-2003	−16.5	83.7379
Arnaboldi-2003	−16.0	78.3799
Arnaboldi-2003	−15.5	69.1942
Arnaboldi-2003	−15.0	60.5599
Arnaboldi-2003	−14.5	52.5066
Arnaboldi-2003	−14.0	45.0449
Arnaboldi-2003	−13.5	38.1773
Arnaboldi-2003	−13.0	31.9022
Arnaboldi-2003	−12.5	26.2151
Arnaboldi-2003	−12.0	21.1100
Arnaboldi-2003	−11.5	16.5799
Arnaboldi-2003	−11.0	12.6169
Arnaboldi-2003	−10.5	9.2124
Arnaboldi-2003	−10.0	6.3577
Arnaboldi-2003	−9.5	4.0434
Arnaboldi-2003	−9.0	2.2602
Arnaboldi-2003	−8.5	0.9984
Arnaboldi-2003	−8.0	0.2483
Arnaboldi-2003	−7.5	0.0000
Arnaboldi-2003	−7.0	0.2436
Arnaboldi-2003	−6.5	0.9690
Arnaboldi-2003	−6.0	2.1661
Arnaboldi-2003	−5.5	3.8248
Arnaboldi-2003	−5.0	5.9349
Arnaboldi-2003	−4.5	8.4861
Arnaboldi-2003	−4.0	11.4680
Arnaboldi-2003	−3.5	14.8701
Arnaboldi-2003	−3.0	18.6820
Arnaboldi-2003	−2.5	22.8928
Arnaboldi-2003	−2.0	27.4915
Arnaboldi-2003	−1.5	32.4667
Arnaboldi-2003	−1.0	37.8068
Arnaboldi-2003	−0.5	43.4991
Arnaboldi-2003	0.0	49.5301
Arnaboldi-2003	+0.5	55.8847
Arnaboldi-2003	+1.0	62.5445
Arnaboldi-2003	+1.5	69.4857
Arnaboldi-2003	+2.0	76.6690
Arnaboldi-2003	+2.5	76.3176
Arnaboldi-2003	+3.0	78.6073
Arnaboldi-2003	+3.5	80.6879
Arnaboldi-2003	+4.0	82.6010
Arnaboldi-2003	+4.5	84.3751
Arnaboldi-2003	+5.0	86.0308
Arnaboldi-2003	+5.5	87.5839
Arnaboldi-2003	+6.0	89.0471
Arnaboldi-2003	+6.5	90.4304
Arnaboldi-2003	+7.0	91.7421
Arnaboldi-2003	+7.5	92.9893
Arnaboldi-2003	+8.0	94.1780
Arnaboldi-2003	+8.5	95.3133
Arnaboldi-2003	+9.0	96.3996
Arnaboldi-2003	+9.5	97.4408
Arnaboldi-2003	+10.0	98.4404
Arnaboldi-2003	+10.5	99.4014
Arnaboldi-2003	+11.0	100.3301
Arnaboldi-2003	+11.5	101.2671
Arnaboldi-2003	+12.0	102.2224
Arnaboldi-2003	+12.5	103.1956
Arnaboldi-2003	+13.0	104.1861
Arnaboldi-2003	+13.5	105.1934
Arnaboldi-2003	+14.0	212.4697
Arnaboldi-2003	+14.5	107.2559
Arnaboldi-2003	+15.0	108.3101
Arnaboldi-2003	+15.5	109.3789
Arnaboldi-2003	+16.0	110.4618
Arnaboldi-2003	+16.5	111.5582
Arnaboldi-2003	+17.0	112.6677
Arnaboldi-2003	+17.5	219.9754
Arnaboldi-2003	+18.0	114.9240
Arnaboldi-2003	+18.5	116.0698
Arnaboldi-2003	+19.0	223.3845
Arnaboldi-2003	+19.5	118.3944
Arnaboldi-2003	+20.0	225.7116

This makes the material-memory branch testable for particular histories, but it establishes neither arrival into our state nor a later departure. Independent laboratory calibration and records with genuinely different, constrained closure windows are needed to distinguish a transition history from a different integrated rate.

The spectral and clock calculations have not supplied independent confirmation. The 45-component spectral fit reaches numerical stationarity, but a minimum remains uncertified: negative curvature in the broader parameter analysis is not by itself a demonstrated allowed descent from the constrained fit. Calibration, line-shape and absorber uncertainties also remain. All seven reserved satellite-clock days fail the assumed noise model's time-correlation test, so large conditional residuals cannot be assigned valid event significance using that model.¹⁸¹⁹

Cold-atom bubble and population measurements establish dynamics in an analogue system. Destructive snapshots of different clouds do not record individual waiting times, and their millisecond scale supplies no cosmological departure rate without a physical mapping between the systems.²⁰

Cosmic rarity has to be conditioned on our own history

The observer-conditioned calculation tests the final logical link. In one stipulated environmental-history example, assuming ten expected detections per unit of modeled opportunity, the probability of no detections is about 58% without conditioning on an observer-compatible history and 37% after that conditioning. Replacing the uncertain opportunities by their conditional mean would instead give about 27%. These differences arise with the same underlying geometry and detection yield.²¹

The conditioning makes compatible opportunities more common around the selected observer in this example. The mean substitution then misses the effect of uncertainty on the probability of silence. Neither number estimates the abundance of inhabited worlds: the model stipulates its histories and detection rule rather than deriving them from a viable field and an emergence process.

This challenges the proposed shortcut from global phase rarity to cosmic solitude. A field model must separately predict arrival, departure, spatial correlation and a sufficiently long suitable interval, then connect those histories to observers or signals that a specified survey could detect. The relevant evidence would be an age- and environment-dependent pattern that survives ordinary astrophysical alternatives and survey selection. Until that connection is made, these calculations do not assign a probability that metastability explains our lack of detected neighbors.

8 October 2026 — Numerical reviews expose limits on the proposed histories

The October 8 continuation adds four independently reviewed results with limited physical scope. Reconstructing all 141 finite screened-contact cells preserves a failed source-width gate: the enclosure width is about 0.00966 against the unchanged target of 0.00000002. One complete 5,778-column Gaussian block has a represented Rayleigh interval below the required minimum threshold; that excludes promotion of this represented block and does not establish a physical negative mode. The Re-only isotope calculation quantifies non-identifiability when chronology or heterogeneous inventories are free. Six planar collision cases reach dimensionless time 120 with walls surviving and rebounding within the finite simulated box; they establish neither complete annihilation into measured pure radiation nor an ordinary-matter history.

A separate analytic diagnostic finds no second static vacuum within |θ| ≤ 0.5 for the selected leading-order canonical QCD axion vacuum potential. It sets no bound on the axion decay constant and excludes neither finite-density nor oscillatory backgrounds. The continuation findings, qualified-result figure, and coverage ledger distinguish these results from method reviews, retained failed attempts and unresolved physical inputs. They do not complete the original research program.