Ngā Poutū o te Whakawhanaungatanga Motuhake
Pendahuluan
I te tīmatanga o te rautau 20, i whakaurua mai e Albert Einstein te ariā motuhake o te whanaungatanga, i huri i tō tātou māramatanga ki te wāhi, te wā, me te nekehanga. E hangai ana tēnei ariā ki ngā poutū matua e rua i huri i te ahupūngao matarohia, ā, i whakarato i tētahi turanga hou mō te ahupūngao hou. Ka tirohia e tēnei tuhinga ngā poutū e rua o te whanaungatanga motuhake me te hōhonu, ō rātou pānga ki tō tātou māramatanga ki te ao whānui, me ētahi o ngā hua nui o tēnei ariā.
Latar Belakang
I mua i te taenga mai o te whanaungatanga motuhake, ko te tirohanga a Newtonian te mea nui rawa atu i roto i te ahupūngao, arā, ko te wāhi me te wā he mea tino tūturu. I tirohia te māramatanga hei ngaru e horapa ana i roto i tētahi reo whakapae e kiia nei ko te ether. Heoi, he maha ngā whakamātautau, tae atu ki te whakamātautau a Michelson-Morley, i kore i kitea te ether, ā, ka ara ake ngā pātai matua mō te āhua o te māramatanga me te nekehanga.
Ngā Poutūrua e Rua mō te Whakawhanaungatanga Motuhake
Ko te ariā motuhake o te whanaungatanga e ahu mai ana i ngā poutū matua e rua i whakatakotoria e Einstein i te tau 1905:
1. Te Whakatakotoranga o te Whakawhanaungatanga:
"He rite tonu ngā ture o te ahupūngao i roto i ngā anga tohutoro korekore katoa."
Ko te tikanga tēnei, kāore he anga tohutoro ā-inerētia e pai ake ana i tētahi atu. Ko ngā kaimātakitaki katoa e neke ana i te tere pumau e pā ana ki a rātou anō ka mau ki ngā ture ahupūngao ōrite.
2. Te Whakatakotoranga o te Pūmautanga o te Tere o te Mārama:
"He pumau te tere o te mārama i roto i te korehau, ā, kāore e whakawhirinaki ki te nekehanga o te pūtake mārama, ki te kaimātakitaki rānei."
Ko te tikanga o tēnei, he rite tonu te tere o te mārama \( c \) mō ngā kaimātakitaki katoa, ahakoa te tere whanaunga ki te pūtake mārama. E whakahē ana tēnei whakapae i te ariā o te wā me te wāhi tuturu i whakamahia e ngā tikanga miihini Newtonian.
Ngā Pānga o ngā Poutū o te Whakawhanaungatanga Motuhake
He pānga nui tō ēnei whakapae e rua mō te whanaungatanga motuhake ki ngā ariā o te wāhi, te wā, me te nekehanga. Anei ētahi o ngā hua matua o ēnei whakapae:
1. Te Whakawhanuitanga o te Wā
Ko te whakawhanuitanga wā he āhuatanga e pōturi ake ai te haere o te wā mō tētahi mea e neke ana ki tētahi kaimātakitaki tūmau. Ka taea tēnei te whakamārama mā te whakamahi i ngā panonitanga Lorentz, e whakakapi ana i ngā panonitanga Kariri i roto i te whanaungatanga motuhake. Ka taea te whakaatu i te whārite mō te whakawhanuitanga wā penei:
\[ t' = \frac{t}{\sqrt{1 – \frac{v^2}{c^2}}} \]
Kei hea:
– Ko te \( t' \) te wā e inehia ana e te kaimātakitaki e neke ana.
– Ko te \( t \) te wā i inehia e te kaimātakitaki tūmau.
– Ko te tere whanaunga i waenganui i te kaimātakitaki me te mea e neke ana ko \( v \).
– Ko te tere o te mārama ko \( c \).
Kua whakamātauhia tēnei āhuatanga mā roto i ngā whakamātautau maha, tae atu ki ngā kitenga i ngā matūriki muon he roa ake te ora ina neke ana i ngā tere e tata ana ki te tere o te mārama.
2. Ngā Whakaiti Roa
Ko te whakawhāititanga o te roa he āhuatanga e inehia ai te roa o tētahi mea e neke ana he poto ake i te ahunga o tana nekehanga ki te wā e okioki ana te mea e pā ana ki te kaimātakitaki. Ka taea te whakaatu i te whārite mō te whakawhāititanga o te roa penei:
\[ L' = L \sqrt{1 – \frac{v^2}{c^2}} \]
Kei hea:
– Ko te roa o te mea i inehia e te kaimātakitaki e neke ana ko \( L' \).
– Ko te \( L \) te roa o te mea i inehia e te kaimātakitaki tūmau.
– Ko te tere whanaunga i waenganui i te kaimātakitaki me te mea e neke ana ko \( v \).
– Ko te tere o te mārama ko \( c \).
Ka kitea nuitia tēnei whakapoto roa i ngā tere e tata ana ki te tere o te māramatanga.
3. Te Whakawhanaungatanga o te Whai Wā Kotahi
Ko te whanaungatanga o te ōritetanga ko te ariā e mea ana ko ngā huihuinga e puta tahi ana i roto i tētahi anga tohutoro korekore e kore pea e puta tahi i roto i tētahi atu anga tohutoro korekore e neke ana ki te tuatahi. E kī ana tēnei he whanaunga te wā, ehara i te mea tino, ā, e whakawhirinaki ana ki te anga tohutoro a te kaimātakitaki.
4. Pūngao me te Papatipu
Ko tētahi o ngā hua rongonui o te whanaungatanga motuhake ko te whanaungatanga i waenga i te papatipu me te pūngao, e whakaatuhia ana i roto i te whārite:
\[ E = mc^2 \]
Kei hea:
– Ko te pūngao te \( E \).
– Ko te papatipu ko te \( m \).
– Ko te tere o te mārama ko \( c \).
E whakaatu ana tēnei whārite ka taea te huri i te papatipu hei pūngao, ā, ko te ritenga kē, e whakamārama ana i ngā āhuatanga pēnei i ngā tauhohenga karihi me te whakangaromanga matūriki-ā-matūriki.
Ngā Huanga Whakamātautau me ngā Huanga Ariā
Whakamātautau Whakamātautau
Kua manatokohia te whanaungatanga motuhake mā roto i ngā whakamātautau maha, tae atu ki:
– Te whakamātautau a Michelson-Morley: Ahakoa i hangaia i te tīmatanga hei kimi i te etere, ko ngā hua kore o tēnei whakamātautau e tautoko ana i te whakapae he pumau te tere o te mārama i roto i ngā anga tohutoro korekore katoa.
– Ngā Tirohanga a ngā Muon: Ko ngā matūriki muon i hangaia e ngā hihi ao i te āhuarangi o te Ao e whakaatu ana i te roa o te ora ina haereere i ngā tere tiketike, e rite ana ki te whakawhānui o te wā.
– Whakamātautau Tere o te Mārama: Ko ngā inenga o te tere o te mārama mai i ngā pūtake neke me ngā pūtake tūmau e whakaatu ana kei te mau tonu te tere o te mārama, ahakoa te nekehanga o te pūtake.
Ngā Pānga ki te Ahupūngao Hou
Nā te whanaungatanga motuhake i whakarato te turanga mō ngā whanaketanga maha o te ahupūngao hou, tae atu ki:
– Te Ahupūngao Matūriki: Kua tino awehia te māramatanga o te whanaungatanga motuhake ki te māramatanga o ngā matūriki taketake me ā rātou taunekeneke, inā koa i roto i te whanaketanga o te tauira paerewa o te ahupūngao matūriki.
– Te Ao Tūroa: He mea nui te whanaungatanga motuhake i roto i te ariā a Einstein mō te whanaungatanga whānui, e whakaahua ana i te kaha ā-papa hei piko o te wāhi-wā, ā, koinei te pūtake mō te ao tūroa o ēnei rā.
– Hangarau Hou: Kua whakamahia te ariā o te whanaungatanga motuhake i roto i ngā hangarau pēnei i te GPS, e hiahia ana kia whakatikatikaina te whanaungatanga kia tino tika ai.
Arotake me ngā Whakahōutanga
Ahakoa kua whakamātauhia te whanaungatanga motuhake mā roto i ngā whakamātautau, he maha ngā wero me ngā whakahē, inā koa mō ngā ngana ki te whakauru atu ki te miihini irahiko. Ko te ariā mara irahiko me te ariā whānui o Einstein mō te whanaungatanga he ngana ki te whakauru i te whanaungatanga motuhake ki roto i tētahi anga whānui.
He ariā tino whakautehia, he ariā whānuitia hoki te whanaungatanga motuhake i roto i te hapori pūtaiao. Heoi anō, kei te haere tonu ngā rangahau ki te whakapai ake i tō tātou māramatanga ki te ao whānui, me te kimi i tētahi ariā whānui ake ka taea te whakauru i ngā āhuatanga ā-tinana katoa.
Whakamutunga
Nā te ariā a Albert Einstein mō te whanaungatanga motuhake i huri te ahupūngao, ā, koinei te pūtake mō ngā kitenga pūtaiao me ngā hangarau hou. Mā te kī he rite tonu ngā ture ahupūngao i roto i ngā anga tohutoro korekore katoa, ā, he pumau te tere o te mārama, i hurihia e tēnei ariā tō tātou māramatanga ki te wāhi, te wā, me te nekehanga.
Ko te whakawhanuitanga o te wā, te whakapototanga o te roa, te whanaungatanga o te ōritetanga, me te whanaungatanga i waenga i te papatipu me te pūngao ētahi o ngā hua matua o tēnei pou, kua manatokohia mā roto i ngā whakamātautau maha. Ehara i te mea kua whakarei ake te whanaungatanga motuhake i te ahupūngao ariā anake, engari kua whakarato hoki i te turanga mō ngā hangarau matatau e pārekareka ana ki a tātou i ēnei rā.
Hei tūāpapa nui mō te ahupūngao o ēnei rā, kei te noho tonu ngā ariā o te whanaungatanga motuhake hei kaupapa rangahau me te tūhuratanga, e ārahi ana i a tātou ki tētahi māramatanga hohonu ake mō te ao whānui me ōna ture.
