To elaborate on my previous post, one of the things that bothered during the grieving process back when I was a metaphysical dualist is that I didn't understand the link between the material and immaterial worlds. I didn't understand the science behind that or how the consciousness contained in a cat brain survives death or its relationship to the soul. And not knowing that would bother me.
What I discovered is that there is no consciousness/awareness in a cat brain. Everything in the universe has awareness as its most fundamental substrate and a brain is only an interface to it. The brain, like everything else, exists only as information and has no reality independant from consciousness, in which everything appears as a three dimensional, holographic projection.
In reality, there isn't the cat's consciousness, my consciousness, your consciousness, etc. There is only consciousness and different interfaces to it. Even an electron is an interface to it but with a very limited experience compared to what the brain of a living animal + consciousness produces.
So a deceased person or cat just starts using a different interface, a "spirit brain" or whatever, which is made of information just like an earthly brain is, but without the same constraints.
What makes me feel close to my cat in death is knowing the awareness with which I am aware of my every experience is the same awareness with which she is aware of her afterlife experience and the same awareness that she is aware of my experience by. Thinking erroneously that there are separate beings who each have their own consciousness independent of each other leads to the feeling of a big separation and sense of loss when in reality, things are much more intimate than that and you are in fact closer to someone in many ways after they die due to the removal of the impediment to them sharing in your experience of embodiment - their own earthly body experience as an apparent individual.