I believe time is intrinsically linked with our experience of consciousness, maybe consciousness in general.

Sorry for the armchair philosophy, this is a topic I like to think about.

We know that time is the 4th dimension, all things exist in 4-dimensions and we just experience one 'slice' of this dimension at a time. The concept of something having 'not happened yet' really means 'we haven't experienced it yet' - it'd be like saying that the house 5 blocks away isn't on fire 'yet', simply because we haven't walked 5 blocks over and seen it yet. If we were able to move through time as freely as we move through other dimensions, then a house that catches on fire 'tomorrow' is really on fire 'now'('now' really isn't the right word here, but I don't think a better one exists) - we just have to walk down the street into tomorrow and see it.

In this way, we also exist as infants and as old men and women at the same time. We experience on infinitesimally small slice of ourselves at a time, each slice being a moment in time. Why don't we experience this all at once? Our body IS existing in the past and the future and the now, we are all tasting our 60th birthday cake right now, but we don't experience it yet.

There are two possibilities:
Consciousness is the one thing that exists outside of time, such that instead of existing throughout our whole lifespan consistently and experiencing our whole life at once and constantly, we move through time experiencing one moment at a time, and maybe move into and out of time via birth/death. If you start thinking about memory this gets very interesting(as does the other possibility) in so far as memory is represented by the physical state of your brain and memory stores 'past' events. Basically implying that for some reason the 4D shape of your brain is such that on the 'future' side of your brain there are neurons arranged in such a way to describe what the state of your brain is on the 'past' side.

OR, consciousness does exist within 4 dimensions as our bodies do, and we ARE experiencing our entire lives at once. I don't know about you, but for me it FEELS like I'm only experiencing this single moment right now. But that doesn't mean I'm not also experiencing every other moment right now. At this moment in time, my brain is in a certain state(in terms of neurons and neurochemicals), that state encodes my memories and feelings that I have at this moment, personally I think that state encodes all the qualities of my consciousness, but I know this could be argued. So if I were experiencing all moments at once, then this moment would feel exactly like it would feel if this were the only moment I was experiencing. I would also be experiencing moments in the future, and in those moments this moment would be just a memory. So how do I know whether I'm experiencing those other moments as well right now, this current moment clearly feels unique to me and it seems like the only moment I'm experiencing, but maybe that's how all moments feel. Maybe there is a different 'me' experiencing every other moment right now, and I happen to be in this moment typing this message BECAUSE this moment IS the one where I happen to be sitting here typing this message. The me that's eating my 60th birthday cake is also doing that right now, and not thinking about the nature of consciousness, but maybe has a vague memory of this moment because the physical structure of my brain encodes 'previous' brain states as memories in 'future' brain states for whatever reason.