This is absolutely untrue and damaging to our culture to have it be believed. Not only can fetuses feel physical pain (to say otherwise is to say they develop a full-blown nervous sytem the instant they pass out of the mother's body), they also feel and react to negative and positive emotions of their mothers.
This won't suit the scientists who want to believe a lie, but I offer this as evidence of the life-reacting power within a human fetus.
Luke 1:39 And Mary arose in those days, and went into the hill country with haste, into a city of Judah;
40 And entered into the house of Zacharias, and greeted Elisabeth [who was six months into her pregnancy, carrying the future John, the Baptist].
41 And it came to pass, that, when Elisabeth heard the salutation of Mary, the baby leaped in her womb; and Elisabeth was filled with the Holy Ghost.
"For behold, when the sound of your greeting reached my ears, the baby leaped in my womb for joy."