I am so sorry. My kind thoughts to you.
I feel the same. It's years since my dog left this world. I have adapted but always feel like a big chunk of my Soul went with her. At first it was indescribable. Like two halves of the same being that couldn't possibly be separated.
I still feel the same but not as strangely as I did at first; like I was no longer of this world at all. I didn't scream or make much noise. The world went silent, and I walked about it like a ghost.
I think something in us does follow them out -goes with them.
Then somewhere between the Worlds, that thing lights up with eternal Love, and returns to us somehow, changes us, makes us cry but makes us MORE soulful. Though we will always miss them in this world, there is no doubt about that -even as the years pass.
Yes there is a huge chunk of my Soul halfway between this Earth, and her. If I dwell on that, and bring it through into my life, I can feel quite at peace with our love sometimes and can often sense her state of being which is so beautiful. If I dwell on this earthly state only, I can feel quite hollow, lost and alone.