Ingcamango ye-tachyon ayiyophuli izibalo ze-relativity ekhethekileyo. Endaweni yoko, imele indawo yezibalo engakhange iphandwe kwiinguqulelo ze-Lorentz. Ukuze siqonde ama-tachyons, kufuneka sijonge ngononophelo izibalo ezilawula amandla, i-momentum, nexesha-nendawo xa isantya (v) singaphezulu kwesantya sokukhanya (c).
1. Ukujika Kwamandla-Momentum
Kwi-relativity ekhethekileyo, amandla epheleleyo (E) ne-momentum (p) yentsungu enobunzima bokuphumla (m₀) nesantya (v) kunikezwa zizibalo ze-Lorentz:
E = m₀c² / √(1 - v²/c²)
p = m₀v / √(1 - v²/c²)
Ngezinto eziqhelekileyo (ama-bradyons), v < c, ngoko igama elingaphantsi kwesquare root (1 - v²/c²) lihle. Njengoko v lisondela ku-c, umahlukanisi usondela ku-zero, uqhuba amandla ku-infinity. Esi sisizathu izinto eziqhelekileyo zingenakufikelela isantya sokukhanya.
Nge-tachyon, v > c. Oku kwenza igama (1 - v²/c²) libe ngaphantsi kwe-zero. Ukuze amandla E ne-momentum p zihlale zinyaniso, ubunzima bokuphumla m₀ bufanele bube obucingwayo:
Umda Wesantya Osuka Ngezantsi
Ukuba isantya se-tachyon sehla sisondela ku-c (sisuka ngaphezulu), amandla ayo aya ku-infinity. Ukuba v iya ku-infinity, amandla E asondela ku-zero. I-tachyon enamandla angu-zero ihamba ngesantya esingenakubalwa. Ayinakwehla iye ku-c njengoko intsungu eqhelekileyo ingenakukhula iye ku-c.
2. Umlinganiselo Wobunzima Obungaguqukiyo
Nge-tachyon enobunzima obucingwayo m₀ = iμ, i-square yobunzima (m₀)² = -μ². Umlinganiselo uba:
3. Umthetho Wokuhlaziya KaFeinberg
Ingxaki yefiziksi ebucayi kakhulu yama-tachyons kukwahlulwa kwezinto. Ngenxa yokuba i-four-momentum ye-tachyon iyi-spacelike, ababukeli abahlukileyo kwii-frames ezahlukileyo baya kuphikisana ngokulandelana kwexesha kwezenzakalo.
Ukusombulula oku, uGerald Feinberg wazisa Umthetho Wokuhlaziya. Uthi i-tachyon enamandla amabi ehamba emva kwixesha kwi-frame ethile ifana ne-anti-tachyon enamandla amahle ehamba phambili kwixesha kwi-frame enye.
Isiphelo
Ifiziksi yama-tachyons idinga ukuba sijike ukuqonda kwethu okuqhelekileyo ngamandla nesantya. Nangona ama-tachyons okwenyani engaqinisekwanga, olu hlaka lwezibalo luyisiseko sokuqonda ukungaqini kwintsimi (tachyon condensation) kwithiyori yentambo yanamhlanje nendlela ye-Higgs.