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"Small acceleration sensors placed at different locations close to the spinning superconductor, which has to be accelerated for the effect to be noticeable, recorded an acceleration field outside the superconductor that appears to be produced by gravitomagnetism.
Depending on further confirmation, this effect could form the basis for a new technological domain
Although just 100 millionths of the acceleration due to the Earth’s gravitational field, the measured field is a surprising one hundred million trillion times larger than Einstein’s General Relativity predicts. Initially, the researchers were reluctant to believe their own results.
In parallel to the experimental evaluation of their conjecture, Tajmar and de Matos also looked for a more refined theoretical model of the Gravitomagnetic London Moment
If confirmed, this would be a major breakthrough," says Tajmar"
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In other words they don't know and are just guessing
Which means that they are being honest.
They've found something cool that they don't fully understand, and they are throwing it out there to the physics community, via the peer-review process, in the hopes that others can reproduce the experiments and/or make sense out of it.