Misunderstandng the Phrase Living in the Eternal Present

I have been in a relationship for 15 years. In my mind we had a committed loving relationship. My significant other was working away from home on a contract and got involved with a woman. I learned about it and was very upset. I have confronted with him and have communicated to the woman he was involved with. He has made a commitment to be with me and work on re-building our relationship. He was involved with a woman that preaches your quotes but twist them to meet her needs. I am trying to help him understand what it means to be in a healthy committed relationship. I am having a very difficult time b/c the woman he was involved with believes in “Deepak Chopra” philosophies and accepts and entertains his behavior. He is fighting to change his unhealthy behavior. As you know it is hard to accept your shortcomings. If someone else says it is ok. It is very comforting.

Here’s one of her her messages to him these are your quotes

I am thankful for the experience ~ I feel lucky*)

“We are travelers on a cosmic journey —- stardust, swirling and dancing in the eddies and whirlpools of infinity. Life is eternal. But the expressions of life are ephemeral, momentary, transient. We have stopped for a moment to encounter each other, to meet, to love, to share. This is a precious moment, but it is transient. It is a little parenthesis in eternity. If we share with caring, lightheartedness, and love, we will create abundance and joy for each other. And then this moment will have been worthwhile.”

Dear Deepak, what does this mean? Are you saying it is ok to sleep around and cheat your partner as long as you enjoy that moment? I am Buddhist and very much respect your teaching but this amazed me how people turn it around.

How can this be communicated or explained in the true context of what you meant?

Very much appreciate a clarification to this quote.