I'm coming at this with no real JavaScript implementation knowledge, so these comments might not even make sense...
The data sorting seems quite cleanly at first, but as I think more about it I don't quite get it. I guess you are saving a bit of space by segmenting by type... in another approach you might have the type on the pointer, and the pointer can point to anything, and so it's potentially a bit longer than having a type and pointer(/index) that points into a smaller portion of memory specific to that type. But enough to matter?
"No, pointers we do not want and cannot have, so the only real option is to use indexes. Indexes have a lot of benefits: They are small, work exceedingly well together with our heap vectors, enable using the same value to index into multiple heap vectors (or slices of the same heap vector), perform a form of pointer compression automatically, and offer great protection from safety vulnerabilities as reinterpreting an index as a different type changes both the type and the memory it indexes into."
That all just sounds like a pointer to me? The last case also seems like a security hole, not protection.
"Not all objects are the same: They differ in their usage and their capabilities. An object-oriented reading of JavaScript objects' capabilities and the ECMAScript specification would give you a clear and simple inheritance graph where the ordinary object is the base object class, and Arrays, DataViews, Maps, and others inherit from that. Not all objects are the same: They differ in their usage and their capabilities. An object-oriented reading of JavaScript objects' capabilities and the ECMAScript specification would give you a clear and simple inheritance graph where the ordinary object is the base object class, and Arrays, DataViews, Maps, and others inherit from that."
It seems like you are special-casing a specific set of object types (like Array), which is very justifiable. So sure.
"This is somewhat more of an aim for the future instead of current reality, but allow me to give some easy examples: The ArrayBuffer object in ECMAScript supports allocating up to 2^53 bytes of data. Most engines only allow a tad bit over 2^32 bytes but nevertheless, the fact of the matter is that you need more than 4 bytes to store that byte value. As a result, ArrayBuffer itself but also DataView and all the various TypedArray variants like Uint8Array must carry within them 8 byte data fields for byte offset, byte length, and even array length. Now ask yourself, how often do you deal with ArrayBuffers larger than 4 GiB? Not very often, obviously."
I'm guessing this is leading to a decision many languages have made about numbers and strings, where there's special types for small numbers and short strings (exposed only in the implementation). Or even more special types, where the pointers become values.
Also I can see a benefit to keeping track of "normal" Arrays and whatnot, so some of JavaScripts weird-but-not-usually-used behavior can be isolated, and normal behavior fast-tracked.
"In Nova we aim to split objects into parts to ensure that computationally unconnected parts are also stored separately in memory"
But this I don't get. If you are splitting things by type, how can you cluster them by how they are related? An object like {a: 1, b: 2} is an object with two strings and two numbers, presumably spread out over three different type-specific heaps?