(1) Reported By Abu Hurayrah:
The Messenger of Allah(saw) said:"Our LORD descends to the lowest
heaven during the Last Third of The Night,inquiring, "Who will call
on ME so that I may Respond to Him? Who is asking something of ME so
I may Give it to him?,Who is Asking for MY FORGIVENESS so I may
FORGIVE HIM.."So does that mean the creator comes down several times in a 24 hour period,surely all around the world someone wakes up for tahajud,which means there is daylight somewhere else,so there are a couple of million people awake,whilst others are perfoming tahajjud at the same period of time on the universe.
Tahjjud prayers and it's timings are prescibed and proven by Qur'an, Seerat and Sahie Sunnah o Hadees. This is the most rewarding 'voluntarily' prayers and has the highest reward after 'obligatory' prayers. The Tahajjud timings remains the same, even though it starts at different times in different countries. So in the Arab lands it may begins when it's late night or last part of night in those countries, and in African countries it also begins in the late part of night as per there time, and so on. Whenever the said time comes in the said location in a people’s land, it begun for them, even if it may seems different worldly timings to us.
One of the qualities of Allah is Al-Qadir - The All Powerful, He who is able to do anything in the way He wills. Hence, there is nothing impossible for Allah - his capability is beyond our thoughts for we think through our brain which is in itself created y Allah - hence, our brain do not have the capacity to encompass the capabilties of Allah.
It appears in Surah Al-Maida, ayat # 17 : [interpertation of the meaning]
"For to Allah belongs the dominion of the heavens and the earth and all that is between them; He creates what He wills. Allah is All-Powerful"
Same is true for Laylat-ul-Qadr: So for one group of people their night is regarded as Laylat al-Qadr, then for the next group of people, their night is regarded as Laylat al-Qadr. And there is no reason the angels cannot descend to one group of people and also another.
And Allah knows best.