The resurrection of the dead, and the coming of the Lord are the two biblical terms for the idea of the catching away of the saints, and the transformation from mortal to immortality.
The whole premise behind the "Left Behind" movies is that it will be a secret event, and people will just disappear, and no one will know why, which is
totally false.
Read this passage here - it couldn't be plainer, in my opinion:
Matt. 24:29-31
29 Immediately after the tribulation of those days shall the sun be darkened, and the moon shall not give her light, and the stars shall fall from heaven, and the powers of the heavens shall be shaken:
30 And then shall appear the sign of the Son of man in heaven: and then shall all the tribes of the earth mourn, and they shall see the Son of man coming in the clouds of heaven with power and great glory.
31 And he shall send his angels with a great sound of a trumpet, and they shall gather together his elect from the four winds, from one end of heaven to the other.
After the days of tribulation, then the sign of the Son of man shall appear, and ALL the tribes of the earth shall mourn, and they SHALL SEE Jesus, who shall send his angels with the GREAT SOUND of a trumpet to gather his elect from the four corners of the earth.
There is nothing in the above passage that suggests a silent, stealthy, mysterious event. EVERYONE on earth will know what is happening. There will be no doubt in anyone's mind what has taken place.