Umqondo we-tachyon awuphuli izibalo ze-relativity ekhethekile. Kunalokho, umele indawo yezibalo engahlolwanga eziguquguqukweni ze-Lorentz. Ukuze siqonde ama-tachyons, kufanele sibheke ngokucophelela izibalo ezilawula amandla, i-momentum, nesikhathi-nendawo lapho ijubane (v) ledlula ijubane lokukhanya (c).
1. Ukuphenduka Kwamandla-Momentum
Ku-relativity ekhethekile, amandla aphelele (E) ne-momentum (p) yenhlayiya enesisindo sokuphumula (m₀) nejubane (v) kunikezwa izibalo ze-Lorentz:
E = m₀c² / √(1 - v²/c²)
p = m₀v / √(1 - v²/c²)
Ngezinto ezijwayelekile (ama-bradyons), v < c, ngakho igama elingaphansi kwesquare root (1 - v²/c²) lihle. Njengoba v lisondela ku-c, isihlukanisi sisondela ku-zero, sishayela amandla ku-infinity. Yilesi sizathu izinto ezijwayelekile zingenakufinyelela ijubane lokukhanya.
Nge-tachyon, v > c. Lokhu kwenza igama (1 - v²/c²) libe ngaphansi kuka-zero. Ukuze amandla E ne-momentum p zihlale zingokoqobo, isisindo sokuphumula m₀ kufanele sibe esicatshangwayo:
Umkhawulo Wejubane Osuka Ngezansi
Uma ijubane le-tachyon lehla lisondela ku-c (lisuka ngaphezulu), amandla ayo aya ku-infinity. Uma v liya ku-infinity, amandla E asondela ku-zero. I-tachyon enamandla angu-zero ihamba ngejubane elingenakubalwa. Ayikwazi ukwehlela ku-c njengoba inhlayiya ejwayelekile ingenamandla okukhula iye ku-c.
2. Isibalo Sesisindo Esingaguquki
Nge-tachyon enesisindo esicatshangwayo m₀ = iμ, i-square yesisindo (m₀)² = -μ². Isibalo siba:
Lokhu kukhombisa ukuthi nge-tachyon, i-momentum e-squared (pc)² ihlala inkulu kunamandla a-squared E². Ku-Minkowski spacetime ezilinganiswa ezine, i-four-momentum vector ye-tachyon iyi-spacelike.
3. Umthetho Wokuchaza Kabusha KaFeinberg
Inkinga yefizikhsi ebucayi kakhulu yama-tachyons yilokulandelana kwezinto. Ngenxa yokuthi i-four-momentum ye-tachyon iyi-spacelike, ababukeli abahlukene ku-frames ezihlukene bazophikisana ngokulandelana kwesikhathi kwezenzakalo.
Ukuxazulula lokhu, uGerald Feinberg wethula Umthetho Wokuchaza Kabusha. Umthetho uthi i-tachyon enamandla amabi ehamba emuva esikhathini ku-frame ethile ifana ne-anti-tachyon enamandla amahle ehamba phambili esikhathini ku-frame enye. Lokhu kubuyisela ukuzinza kwendawo, nakuba kungaxazululi izinkinga zokulandelana kwezinto ezinkulu njenge-Antitelephone ye-Tachyonic.
Isiphetho
Ifizikhsi yama-tachyons idinga ukuba siguqule ukuqonda kwethu okujwayelekile ngamandla nejubane. Nakuba ama-tachyons angokoqobo engaqinisekisiwe, lolu hlaka lwezibalo - ikakhulukazi i-momentum ye-spacelike nesisindo esicatshangwayo - luyisisekelo sokuqonda ukungaqini kwenkambu (tachyon condensation) kuthiyori yentambo yanamuhla nendlela ye-Higgs.