Well, I'm going to assume that you want a dogmatic names for it in order to find other people's experience and tips for this state.
I'm a big fan of The Monroe Institute, and in their terms you achieved
. (You can click on
and it will redirect you to their focus level's page)
I'm pretty sure, Buddhist's call this state Śūnyatā.
Other than that I don't really know other names for it.
but I couldn't seem to find a solid description on what the void state felt like.
(Little bit food for thought) Since you can experience this state, your experience is the most important, because at the end of the day you are the one who is in that state.
My recommendation in this state is:
-Relax, your heart rate might increase. (at least that's what 90% of time happens to me), sources that I linked suggest that the heart rate experienced is overexaggerated from what it actually is. BUT if its too much, STOP, because even if you achieve deeper meditation state, it will manifest as a bad experience, since you are aware of unfamiliar state of your heart.
Proof that increased heart rate happens, but it's usually just inside your brain
1st link:
2nd link:
3rd link:
-Your body will start to dissolve (if it hasn't already), for me personally my hands become very big, and my head becomes very small.
In this state I suggest to relax (I know, relaxation is the answer to 99% of things

)
-Pressure building up inside the head.
For this I suggest do not try to push for more than you can handle. (This is usually before the void) If the pressure feels too much, STOP, or try to lower the amount of pressure inside your head.
But the way that I see it, in order for your brain to start adopting new concept and unfamiliar states (meditation and the states that it offers), the pressure sensation may be related to the brain adapting to an unfamiliar state of awareness, but I don't know what the actual neurological mechanism is. Also adaption might be occurring where it shouldn't be occurring, that's why you shouldn't over force it. (
This is my own concept and not scientifically proven)
-Vibration inside/very loud sound your ears. I believe Buddhists describe this as thousand waves clashing sound. Do not acknowledge them, do not panic. Imagine you just happened to be inside tornado, don't worry it will pass.
-After vibrations pass (which will be instantaneous), you can stay inside the stillness of the deeper void, or you can continue and experience full OOBE (Out-Of-Body-Experience). To experience OOBE, just imagine rolling out of your body, or rising from your body (feet in place, upper body rising, the end result should be you are standing upright at the end of your physical feet), or imagine an object inside your environment, then imagine you next to it.
-General rule of thumb that I always follow is that I try to be in a good mood before going into meditation and this very often leads to a pleasant experience. Now this might sound cliché, but try to feel love inside your heart before starting meditation which as a result will lead to a faster achievement in desired state, but I've also started meditation's where my heart felt heavy and I felt anger when I initially started meditation, but when in meditation process it softened and at the end I was feeling love, which resulted in the same goal achieve, but it took longer.
To be honest, this might a be too much of a scientific and/or personal answer than you are looking for. But when you enter this unfamiliar state, I would recommend to always keep a certain level of discernment, even from your body.
And also that your brain is trying to protect you from this unfamiliar state by its nature, therefore expect some resistance from it, this is mainly why I say relax, because when you will look back onto your first experiences in the future of this state called 'void', you will see that everything went fine and that worry occurred from the sole fact that you were unfamiliar with the state.
(These are my experiences and therefore your experiences might differ)
Sources: