"is the infinite a place where there is no matter?" - No. From the last of the 3 links: "Matter is fundamentally quantum."
Empty Space Isn't Empty, And Quantum Researchers Now Have Direct Evidence - Discovery.com -
LINK
Quantum Mechanics: Evidence Says Empty Space Is Not Empty After All - universityherald.com
LINK
"We are not empty" - Mario Barbattiis - Aix Marseille University in France - aeon.co -
LINK
"seemingly empty of form?" - No.
This gets complicated but, just saying "No" is not OK. You deserve more than that. This is going to be long read, but I think it will be well worth it. I am sharing a lot of useful information which is rarely shared in written form. Chag Sameach! Happy Sukkot, Bro.
Part one: "seemingly empty of form?" - No.
There are 3 versions of infinite, in this context, but all 3 are easily conflated. Because they are all infinite, considering them can be dizzying and disorienting, especially because all 3 are happening ( present-progressive ) concurrently. Beyond the natural disorientation, confusing up-from-down and left-from-right, for some, considering these can be literally painful. The mind has to stretch to accomodate these ideas. The stretching is required, because, as you know, this is not numeric infinity, it's much much bigger than that. It's infinitely bigger than numeric infinity.
The first version of infinite, is absolutely literally infinite in every conceivable manner and more. One of those conceivable manners is the the capability to infinitely create, to be an infinite source of everything conceivable and more. If it did not possess this property / attribute, then it would not be absolutely literally infinite. Because of this, I will call this first version of infinite, the "source". But there is a catch. There is another consequence of absolute literally infinite. It also possesses the capability to infinitely un-create, infinitely deny. It *also* posseses the capability of infinitely-negating . If it did not possess this property / attribute of infinite-negating, then it would *also* not be absolute literally infinite. And these are the 3 versions.
The first is the "source". The other 2 are partners, inverses of each other. These two partners, as a partnership, "dance-partners", are infinite in their own way. One is infinite-creation, an infinite action. The other is infinite-negation, also an infinite action. They are "embracing" and "dancing", present-progressive. But they are simulateously opposing each other. That's the "dance". The "dance" is a form, in motion. But it is also a form, in stasis, as an object, a property, an attribute, which is being possessed by the "source". This matches the QM model in the links above.
A similar simultaneous "dancing" is reflected in the source. And this explains the answer to the question. The source itself is formless, but it **possesses** these two nearly infinite forms (plural) which are simultaneously object-and-action, simultaneously noun-form-and-verb-form. Please note. The verb, the action, is a form. The "dancing" is a form. Everything has a form ( with one and only one exception). The source is the one and only exception.
This is why the infinite place is not "empty of form". The "action" the "vibration" the "motion" is a form.
"seemingly empty of form?" No.
This answer "No" is not supposed to be a door closing. But instead it's supposed to be an opportunity. That's why I wrote, I feel like you deserve a complete explanation. If I am answering "No." I don't feel it's fair to just leave it at that. The natural response to "No" is "Why?" or perhaps, more precisely, "Why Not?" Answering the question "Why" or "Why not", is an opportunity to go on a little journey, a walk-about. If I don't explain, it's almost like my "No" is encouraging traveling into unknown-territory, but I'm neglecting, perhaps, the nneed for help navigating, plotting a course, or guiding somehow to the destination. I don't think that's good.
"seemingly empty of form?" No? So why does it
seem that way?
OK. Here we go. First an introduction.
If the source is absolutely literally infinite a paradox is produced for the concept "form". In this context, from a source which is absolutely literally infinite, the nearly-infinite forms which are possessed by the "source" are being "engraved" ( present progressive ). That's the secret. That's the paradox. That's the gate, portal, 門, in classical chinese from the DDJ. The form is a negation, which appears to be positive-forming, but is actually negative-forming because it's source is absolutely literally infinite. This is very important to keep in mind. The action of engraving is the opposite of what is naturally considered a "form". But, it is still a form, it's a negating form. The DDJ, imo, does the best job with these ideas in the very first chapter, but the translations into english are poor renderings.
If these ideas are applied, as the ancient Jewish philosophers did, the resulting model ( and I cannot stress this enough, it's a model, a metaphor ) that is produced is an infinite chain of emanations producing a material world. The material world and everything in it is a form invested with an "ever-flowing-vitality". But the form is an "engraving", a "negation" which surrounds the vital essence. It looks like skin and bones, and it IS skin and bones. This is an engraving, a negation, of the source which is absolutely literally infinte and the only one which is form-less. This form is a negation, but the vitality that is invested in the form is "true". The vitality that fills the engraving is not-negating. The material world is both, simultaneously.
The vitality is "ever-flowing", similarly, but also simultaneously in opposition, the form is also "ever-engraving". Both are infinite and eternal. The inner-essence and the outer-shell are both versions of infinite. This is why it is tempting to focus entirely on these exterior-shells, as "inspiration", to invoke them, to follow them, and to serve them. As you know, working graven forms are prohibitted in the Exodus 20. There's a reason for that, but, it cannot be denied in truth that there is a lot that can be done with these "husks". They're infinite in their own way. But they are infinitely-negating.
If they are united with their partner, as a pair, they are nearly infinite. It's as close as one can get to the source without complete annihilation. A lot more can be accomplished this way, through unity, ( which is not non-duality ) rather than working with these "shells" the klipoth, exclusively, but it's very tempting to do so. I'll get to that.
Basically everyone works with these "negations" on a very small scale. They're not "evil", not the "shells", not the "engraving" itself. It all depends on what a person does with them. When these "shells" are invoked, inspired, in the material world, they are always in partnership with the everflowing-vitality. It's a matter of degree whether the actions what are produced are net-helpful or net-harmful.
OK, with that out of the way, I can start to answer the question "why does the infinite-place seem to be empty, but it's not?"
From the inner perspective of the seeker "looking-out" towards the source, the first thing that is encountered is the infinite-negations, the "ever-engraving" which produces the "form" which is being invested with the "ever-flowing-vitality" from the source.
This is why it seems that the "infinite-place" is empty of form, empty of every"thing".
There is an infinite-negation happening ( present-progressive ) which is acting as a veil surrounding all of creation. ALL of it. Cloaking it from tip to tail. Left to right. Every link in the chain has a "form", a "shell" which is being ever-engraved, infinite-negating. This paradox is extremely disorienting for the "seeker", the "traveler-on-the-way". This is because, in order to "travel", one must navigate through a layer of infinite-negating, which will appear to the the source.
The realm / zone of ever-engraving, infinite-negating, is literally cloaking the individual-form and everything it encounters in the material world. The source cannot be seen, because the form is cloaked. The source is not cloaked, that is impossible. It is absolutely literally infinite. It cannot be contained. It's the perspective of the individual which is being cloaked. ( It is in darkness, and, It cannot be contained: 1 Kings 8, it's a perfect chapter to read for this ).
The individual is under a "veil". The "veil" is a form. When the form is examined accurately by the mind, it IS infinite in its own way. And that is why it is easily mistaken for the source. That's why it SEEMS to be empty. That's not the source, that's not THE infinite place. It is only nearly infinite when it is "embracing" and "dancing" with its partner. In isolation it is only AN infinite place. One of two. And it is only infinite in a specific manner, valence, vector-orientation, which is trending towards death. It is ever-engraving. En-Graving. Grave. Graving. Death.
So, it may SEEM to be that THE infinite place is empty of forms, but, in truth, that place is a realm of ever-engraving, infinite-negating. The infinite negations are not the source, and the ever-flow is much much greater than the ever-engraving. But in order to perceive it, to know it, one must escape from the infinite outer-shell of negating. Very few accomplish this. And the negations not only seem to be the infinite place, if it is "asked" are you the "one"? It will answer "I AM".
Hopefully you're good so far. We're about half way though. This is a good place to pause and take a "breather" before moving on.