The scriptures of The Church of Jesus Christ of Latter-day Saints refer to other states of existence besides the mortal world in which we are now living. These states of existence are not clearly defined in the LDS scriptures. Here are the verses that refer to the states of existence.

Spirit Matter

7 There is no such thing as immaterial matter. All spirit is matter, but it is more fine or pure, and can only be discerned by purer eyes; (D&C 131:7)

11 But now mine own eyes have beheld God; but not my natural, but my spiritual eyes, for my natural eyes could not have beheld; for I should have withered and died in his presence; but his glory was upon me; and I beheld his face, for I was transfigured before him. (Moses 1:11)

A Pre-Earth Life (Pre-Existence)

22 Now the Lord had shown unto me, Abraham, the intelligences that were organized before the world was; and among all these there were many of the noble and great ones; 23 And God saw these souls that they were good, and he stood in the midst of them, and he said: These I will make my rulers; for he stood among those that were spirits, and he saw that they were good; and he said unto me: Abraham, thou art one of them; thou wast chosen before thou wast born. Abraham 3:22-23)

4 Then the word of the Lord came unto me, saying, 5 Before I formed thee in the belly I knew thee; and before thou camest forth out of the womb I sanctified thee, and I ordained thee a prophet unto the nations. (Jeremiah 1:4-5)

5 And every plant of the field before it was in the earth, and every herb of the field before it grew. For I, the Lord God, created all things, of which I have spoken, spiritually, before they were naturally upon the face of the earth. For I, the Lord God, had not caused it to rain upon the face of the earth. And I, the Lord God, had created all the children of men; and not yet a man to till the ground; for in heaven created I them; and there was not yet flesh upon the earth, neither in the water, neither in the air; (Moses 3:5)

Mortal World

This is the world we are currently living in.

Spirit World

11 As I pondered over these things which are written, the eyes of my understanding were opened, and the Spirit of the Lord rested upon me, and I saw the hosts of the dead, both small and great. 12 And there were gathered together in one place an innumerable company of the spirits of the just, who had been faithful in the testimony of Jesus while they lived in mortality; 14 All these had departed the mortal life, firm in the hope of a glorious resurrection, through the grace of God the Father and his Only Begotten Son, Jesus Christ. 15 I beheld that they were filled with joy and gladness, and were rejoicing together because the day of their deliverance was at hand. 16 They were assembled awaiting the advent of the Son of God into the spirit world, to declare their redemption from the bands of death. (D&C 138:11-12, 14-16)

Resurrection

36 ¶ And as they thus spake, Jesus himself stood in the midst of them, and saith unto them, Peace be unto you. 37 But they were terrified and affrighted, and supposed that they had seen a spirit. 38 And he said unto them, Why are ye troubled? and why do thoughts arise in your hearts? 39 Behold my hands and my feet, that it is I myself: handle me, and see; for a spirit hath not flesh and bones, as ye see me have. 40 And when he had thus spoken, he shewed them his hands and his feet. 41 And while they yet believed not for joy, and wondered, he said unto them, Have ye here any meat? 42 And they gave him a piece of a broiled fish, and of an honeycomb. 43 And he took it, and did eat before them. (Luke 24:36-43)

30 While I was thus in the act of calling upon God, I discovered a alight appearing in my room, which continued to increase until the room was lighter than at noonday, when immediately a personage appeared at my bedside, standing in the air, for his feet did not touch the floor. 31 He had on a loose robe of most exquisite whiteness. It was a whiteness beyond anything earthly I had ever seen; nor do I believe that any earthly thing could be made to appear so exceedingly white and brilliant. His hands were naked, and his arms also, a little above the wrist; so, also, were his feet naked, as were his legs, a little above the ankles. His head and neck were also bare. I could discover that he had no other clothing on but this robe, as it was open, so that I could see into his bosom. (Joseph Smith -- History 1:30-31)

68 We still continued the work of translation, when, in the ensuing month (May, 1829), we on a certain day went into the woods to pray and inquire of the Lord respecting baptism for the remission of sins, that we found mentioned in the translation of the plates. While we were thus employed, praying and calling upon the Lord, a messenger from heaven descended in a cloud of light, and having laid his hands upon us, he ordained us, saying: (Joseph Smith -- History 1:68)

Earth to Become Celestialized

18 Therefore, it must needs be sanctified from all unrighteousness, that it may be prepared for the celestial glory; 19 For after it hath filled the measure of its creation, it shall be crowned with glory, even with the presence of God the Father; 20 That bodies who are of the celestial kingdom may possess it forever and ever; for, for this intent was it made and created, and for this intent are they sanctified. 25 And again, verily I say unto you, the earth abideth the law of a celestial kingdom, for it filleth the measure of its creation, and transgresseth not the law— (D&C 88:18-20, 25)

Three Kingdoms of Glory

There are four places that people will go after the Judgment. The three kingdoms of glory, and outer darkness which has no glory. (D&C 76)

There are other scriptures that could be given. Please feel free to edit this statement to include additional scriptures. The purpose of this statement is to give scriptures, without interpretation, that refer to states of existence other than this mortal world.