Lorentz transformations

Relativistic hurongwa - hurongwa kuti vanodzidza inofamba miviri pane velocities pedyo kumhanya chiedza.

Pahwaro chaiyo relativity yokuti kuongorora pfungwa simultaneity zviitiko zviviri zviri kuitika zvakasiyana inertial muzviruva bhuku. Ndiwo murayiro Lorentz. Kupiwa yakamisirwa hurongwa kutonhora uye H1O1U1 gadziriro, izvo chinoita hama nokumhanya kutonhora hurongwa V. We kuzozivisa notation:

Hou = K = K1 H1O1U1.

Taifunga kuti hurongwa maviri anokosha kugadzwa pamwe masero photovoltaic, izvo chiri panzvimbo pfungwa AC uye A1C1. Daro pakati pavo ndiye chete. Gedye pakati pakati A uye C, A1 uye C1 vari ukuwo, B uye B1 ari neboka placement mwenje. mwenje vakadaro aibvira panguva imwecheteyo panguva apo B uye B1 vari pakatarisana mumwe.

Ngatitii pane kwokutanga nguva pepuranga K uye K1 zvichienderana, asi dzadzo vari zvaizopedza nepedyo. Panguva sangano hama K1 K ari kumhanya V pane imwe nguva uye B1 zvakaenzana. Panguva iyi nguva Mabumba, kuti vari mavara aya achavhenekera. Muoni, riri munyika K1 anoona mawa panowanikwa chiedza A1 uye C1. Saizvozvowo, mumwe mucherechedzi munyika K unocherekedza kuti mawa nechitarisiko chiedza muna A uye C. In iyi, kana Muoni muna K achava andobata chiedza Kuparadzirwa hurongwa K1, achaita cherechedzai kuti chiedza kuti rakabva B1 harizouyi panguva imwe chete kusvika A1 uye C1 . Izvi imhaka ndechokuti K1 ezvinhu kunoita panguva kumhanya V hama kuna K. maitiro

Izvi zvinosimbisa kuti mumwe mucherechedzi anovandira hurongwa K1 chiitiko muna A1 uye C1 kuitika panguva imwe chete uye miganhu Muoni mune zviitiko K kwakadaro hakusi mawa. Kureva nguva penguva kunobva bhuku hurongwa.

Saka, migumisiro yacho ongororo dzinoratidza kuti kuenzana unogamuchirwa munyika dzenhoroondo Vanamakanika, runoonekwa ndonda, anoti: t = T1.

Akapiwa zivo zvinokosha inokosha relativity uye somugumisiro ari kuongorora uye akaita kuedza kunoburitsa Lorenz mukana wokuti vanhu vanga (Lorentz kuchinja) kuti kuvandudza dzenhoroondo Galileo kushanduka.

Tomboti pamatanda K ane chidimbu AB, izvo anoona zvose A (x1, y1, Z1), B (x2, Y2, Z2). Kubva Lorentz kuchinja zvinozivikanwa kuti Coordonatele y1 uye Y2, uye Z2 uye Z1 siyana kuti Galileo kuchinja. Coordinates x1 uye x2, uyewo, kushandura Lorentz equations.

Zvino Kureba chidimbu AB ari K1 kwava Proportional kuchinja munyika yacho chidimbu A1B1 K. zvakananga Saka, pane relativistic shrinkage pakati Kureba chidimbu nokuda chichiwedzera akurumidze.

From Lorentz goho ita zvinotevera: ari kumhanya riri pedyo kumhanya chiedza, pane inonzi nguva dilation (mapatya gangaidzo).

Tomboti pamatanda K nguva pakati zviitiko zviviri akatsunga saka: t = t2-T1, uye hurongwa K1 nguva pakati zviitiko zviviri richinzi: t = t22-T11. Time in batanidza ino hama uko riri kuonekwa kuti wakaiswa, anonzi yakafanira hurongwa. Kana nguva yakakodzera K kupfuura yakafanira munyika K1, ipapo tinogona kutaura kuti mwero haasi razero.

The Mobile Hurongwa K, iyo deceleration nguva, iyo unotaurwa yakatarwa ino.

Anozikamwa kuna hurongwa kuti kana mitumbi vanotama hama kuti hurongwa nokukurumidza V1 Coordonatele, uye izvozvo hurongwa zvinofamba hama kuti yakamisirwa mamiriro Coordonatele nokumhanya V2, nokumhanya miviri hama kune mira rinoronga ezvinhu kurondedzerwa sezvinotevera: V = V1 + V2.

mutoo uyu haasi akakodzera kuti Pakusarudza velocity muviri iri relativistic makanika. For hurongwa vakadaro apo Lorentz Kushandurwa anoshandiswa, zvinotevera fomura rinei:

V = (V1 + V2) / (1 + V1V2 / CC).