What I believe will happen to our physical body and our spirit (soul) is explained in the quote below. It was written by a Christian but is congruent with Baha'i beliefs.
The Resuscitation of Man from the Dead and His Entrance into Eternal Life
421. When the body is no longer able to perform the bodily functions in the natural world that correspond to the spirit’s thoughts and affections, which the spirit has from the spiritual world, man is said to die. This takes place when the respiration of the lungs and the beatings of the heart cease. But the man does not die; he is merely separated from the bodily part that was of use to him in the world, while the man himself continues to live. It is said that the man himself continues to live since man is not a man because of his body but because of his spirit, for it is the spirit that thinks in man, and thought with affection is what constitutes man. Evidently, then, the death of man is merely his passing from one world into another. And this is why in the Word in its internal sense “death” signifies resurrection and continuation of life. Heaven and Hell, p. 351
Emanuel Swedenburg. I have that in Ocean 2.0.
XLVI. The Resuscitation of Man from the Dead and His Entrance into Eternal Life
445. When the body is no longer able to perform the bodily functions in the natural world that correspond to the spirit’s thoughts and affections, which the spirit has from the spiritual world, man is said to die. This takes place when the respiration of the lungs and the beatings of the heart cease. But the man does not die; he is merely separated from the bodily part that was of use to him in the world, while the man himself continues to live. It is said that the man himself continues to live since man is not a man because of his body but because of his spirit, for it is the spirit that thinks in man, and thought with affection is what constitutes man. Evidently, then, the death of man is merely his passing from one world into another. And this is why in the Word in its internal sense “death” signifies resurrection and continuation of life.
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1In the Word "death" signifies resurrection, for when man dies his life still goes on.
Emanuel Swedenborg, "Heaven and Hell"
446. There is an inmost communication of the spirit with the breathing and with the beating of the heart, the spirit’s thought communicating with the breathing, and its affection, which is of love, with the heart
1; consequently when these two motions cease in the body there is at once a separation. These two motions, the respiration of the lungs and the beating of heart, are the very bond on the sundering of which the spirit is left to itself; and the body being then deprived of the life of its spirit grows cold and begins to decay. This inmost communication of the spirit of man is with the respiration and with the heart, because on these all vital motions depend, not only in general but in every particular.
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1The heart corresponds to the will, thus to the affection which belongs to the love, while the respiration of the lungs corresponds to the understanding, thus to the thought . From this the "heart" in the Word signifies the will and love. The "soul" signifies understanding, faith, and truth; therefore "from the soul and from the heart" signifies what is from the understanding, faith, and truth, and what is from the will, love, and good. The correspondence of the heart and lungs with the Greatest Man, or heaven.
2The beating of the heart and the respiration of the lungs reign in the body throughout, and flow mutually into every part.
Emanuel Swedenborg, "Heaven and Hell", 46.2