Malingaliro a tachyon saononga masamu a relativiti yapadera. M'malo mwake, amaimira dera la masamu losafufuzidwa mu kusintha kwa Lorentz. Kuti timvetse tachyon, tiyenera kuyang'ana mwatsatanetsatane pa ma equation omwe amalamulira mphamvu, momentum, ndi nthawi-malo pamene liwiro (v) limapitirira liwiro la kuwala (c).
1. Kubwerera kwa Mphamvu-Momentum
Mu relativiti yapadera, mphamvu yonse (E) ndi momentum (p) ya chinthu chimodzi chimaperekedwa ndi ma equation a Lorentz:
E = m₀c² / √(1 - v²/c²)
p = m₀v / √(1 - v²/c²)
Kwa zinthu wamba (bradyon), v < c, choncho mawu omwe ali pansi pa muzu, (1 - v²/c²), ndi abwino. Pamene v imayandikira c, denominator imayandikira pa zero, ikusunthira mphamvu ku osatha. Ichi ndi chifukwa chake zinthu wamba sizingafikire liwiro la kuwala.
Kwa tachyon, v > c. Izi zimapangitsa mawu (1 - v²/c²) kukhala osatsimikiza. Kuti mphamvu E ndi momentum p zikhalebe zenizeni, kulemera kokhazikika m₀ kuyenera kukhala kolingalira:
2. Equation ya Kulemera kwa Invariant
Mgwirizano pakati pa mphamvu, momentum, ndi kulemera kokhazikika ungaperekedwe kudzera mu equation ya invariant ya relativisti:
Kwa tachyon wokhala ndi kulemera kolingalira m₀ = iμ, m'modzi m'modzi kwa kulemera (m₀)² = -μ². Izi zimasonyeza kuti kwa tachyon, m'modzi m'modzi kwa momentum (pc)² nthawi zonse amakhala akulu kuposa m'modzi m'modzi kwa mphamvu E².
3. Mfundo ya Kutanthauzira ya Feinberg
Vuto lalikulu kwambiri la thupi la tachyon ndi chifukwa. Chifukwa four-momentum ya tachyon ndi spacelike, oyang'anira osiyana mu ma frame osiyana a inertial reference samagwirizana pa mndandanda wa zochitika.
Kuti athetse izi, Gerald Feinberg anapereka Mfundo ya Kutanthauzira. Mfundo imati tachyon yamphamvu zosatsimikiza yomwe imayenda m'mbuyo mu nthawi siingasiyanitsidwe mwa thupi ndi anti-tachyon yamphamvu zabwino yomwe imayenda kutsogolo mu nthawi.
Mathero
Fizikisi ya tachyon imafuna kuti tibweze kumvetsetsa kwathu kokhazikika pa za mphamvu ndi liwiro. Ngakhale tachyon zenizeni sizinatsimikizidwe, gambalay ya masamuyi imapanga maziko omvetsera kusakhazikika kwa malo mu chiphunzitso cha chingwe chamakono ndi mekanismu ya Higgs.