Is there Biblical support for the concept that 'Whenever a man lies with a woman...a transcendental relation is set up between them'? Inspired by an earlier question, I'm not disagreeing with the opinion of C.S. Lewis, but I'm unable to think of any direct biblical support for it.  What is the Biblical basis for Lewis's quote?


  The truth is that wherever a man lies with a woman, there, whether they like it or not, a transcendental relation is set up between them which must be eternally enjoyed or eternally endured.
There's a very common teaching on what's called "soul ties".

The idea is that there are various things that can tie two human souls together.  One of those is sex.  The Biblical support for this is 1 Corinthians 6:16


  6 Do you not know that he who unites himself with a prostitute is one
  with her in body? For it is said, “The two will become one flesh.”


How this equates to a "soul tie" is unclear to me, but to the adherents, it seems to implicitly make sense.

A sample of the teaching can be found here.

Excerpt:


  Brief Biblical look at soul ties
  
  1 Corinthians 6:16, "What? know ye not that he which is joined to an
  harlot is one body? for two, saith he, shall be one flesh."
  
  Obviously the two didn't get married, but something spiritual
  "happened" when they were joined physically in the act of sex. They
  were "joined"; their souls were "tied." Often there are men who have
  an adultery with a prostitute (one night stand), and afterwards, even
  years later, are still thinking about that girl! That is because a
  soul tie has been created.


There's another article here describing the same thing, going deeper into it and attempting to show that there are ties to body, soul, and spirit.  

Again, I don't see these as a natural link, personally, and whether this is strong enough of a "Biblical basis" for any given individual is a personal opinion, but for those that teach and believe in the "soul ties" phenomenon, this is the basis given.