Aiōn is often translated as “ever” (as in “for ever”), but also “world” and “age.”
In the New Testament, the “world” in “the end of the world” is always translated from aiōn.
Therefore, the end of the world is referring to the end of the age.
The ages were framed by God
“God, who at sundry times and in divers manners spake in time past unto the fathers by the prophets, Hath in these last days spoken unto us by his Son, whom he hath appointed heir of all things, by whom also he made the worlds [aiōn]” (Hebrews 1:1-2).
“Through faith we understand that the worlds [aiōn] were framed [katartizō] by the word of God, so that things which are seen were not made of things which do appear” (Hebrews 11:3).
The meridian of time was the end of an age
“For then must he often have suffered since the foundation of the world [kosmos]: but now once in the end of the world [aiōn] hath he appeared to put away sin by the sacrifice of himself” (Hebrews 9:26).
The end of this age is the destruction of the wicked
“The enemy that sowed them is the devil; the harvest is the end of the world [aiōn]; and the reapers are the angels. As therefore the tares are gathered and burned in the fire; so shall it be in the end of this world [aiōn]” (Matthew 13:39-40).
“So shall it be at the end of the world [aiōn]: the angels shall come forth, and sever the wicked from among the just” (Matthew 13:49).
“And as he sat upon the mount of Olives, the disciples came unto him privately, saying, Tell us, when shall these things be? and what shall be the sign of thy coming, and of the end of the world [aiōn]?” (Matthew 24:3).
“And as he sat upon the Mount of Olives, the disciples came unto him privately, saying: Tell us when shall these things be which thou hast said concerning the destruction of the temple, and the Jews; and what is the sign of thy coming, and of the end of the world, or the destruction of the wicked, which is the end of the world?” (Joseph Smith—Matthew 1:4).
“And again, this Gospel of the Kingdom shall be preached in all the world, for a witness unto all nations, and then shall the end come, or the destruction of the wicked” (Joseph Smith—Matthew 1:31).
The day of transfiguration is a day of “invisibility”
“Nevertheless, he that endureth in faith and doeth my will, the same shall overcome, and shall receive an inheritance upon the earth when the day of transfiguration shall come; When the earth shall be transfigured, even according to the pattern which was shown unto mine apostles upon the mount” (D&C 63:20-1).
People and things of a celestial world cannot be seen people who are not transfigured. “And the men which journeyed with him stood speechless, hearing a voice, but seeing no man” (Acts 9:7).
The day of transfiguration is the day when the earth becomes celestial. “This earth, in its sanctified and immortal state, will be made like unto crystal” (D&C 130:9).
The 6 days of creation begin after the earth is formed
“In the beginning God created the heaven and the earth. And the earth was without form, and void; and darkness was upon the face of the deep” (Genesis 1:1-2).
“I am the Beginning and the End, the Almighty God; by mine Only Begotten I created these things; yea, in the beginning I created the heaven, and the earth upon which thou standest. And the earth was without form, and void; and I caused darkness to come up upon the face of the deep” (Moses 2:1-2).
“And they went down at the beginning, and they, that is the Gods, organized and formed the heavens and the earth. And the earth, after it was formed, was empty and desolate, because they had not formed anything but the earth; and darkness reigned upon the face of the deep” (Abraham 4:1-2).
“And the end shall come, and the heaven and the earth shall be consumed and pass away, and there shall be a new heaven and a new earth. For all old things shall pass away, and all things shall become new, even the heaven and the earth, and all the fulness thereof, both men and beasts, the fowls of the air, and the fishes of the sea; And not one hair, neither mote, shall be lost, for it is the workmanship of mine hand” (D&C 29:23-5).
“And as one earth shall pass away, and the heavens thereof even so shall another come; and there is no end to my works” (Moses 1:38).
The end of this age is not necessarily the destruction of the entire planet. With the new heaven and new earth, there is a new age. The new earth then goes through the 6 days of creation to start a new turn of the eternal round.