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Superconducting Strings in the Bounce Frame: Maximum Current, Magnetic Reach, and the Vorton Question

Year: 2026
Type: article
Abstract: This paper computes a consequence of the torsion-regulated bounce for topological defects, using the density ceiling of 9.718e+54 grams per cubic centimetre and the maximum temperature of 3.278e+22 kelvin that follows from it. The maximum current is 6.753e+15 amperes, set by a voltage scale of 2.544e+18 volts across the impedance of free space. At a correlation length from the string, that current produces a field of 1.933e+34 tesla, locally enormous and cosmologically brief, since the correlation length at the bounce is microscopic. The magnetic energy density at that distance is 1.487e+74 joules per cubic metre, a fraction 1.703e-01 of the ceiling energy density, so a maximally carrying network does not violate the energy budget that produced the cap, a consistency check the calculation passes. A horizon-scale loop at formation carries 6.758e+07 joules. Vortons stabilised at this scale inherit the network's tiny density fraction and the current ceiling together; their relic abundance, scaled from the loop population, is far below the levels at which vorton overproduction has been argued to constrain higher-scale models. Superconductivity changes the strings' local electromagnetic character completely and their cosmological importance not at all. The calculation is performed from stated assumptions with all arithmetic deposited, and it is a computation, not a measurement.
DOI: 10.5281/zenodo.24142486
Language: English
Open Access status: green
OpenAlex ID: W7225807891
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