Useful context: I am a biochemist with a passing interest in neuroscience (plus some friends who work in neuroscience research).

A brief minor point is that you should consider uploading the preprint as a pdf instead, as .docx can cause formatting errors if people aren’t using the same word processor as you. Personally, I saw some formatting issues related to this (though nothing too serious).

Onto the content of your work, something I think your paper would benefit from is linking to established research throughout. Academia’s insistence on good citations throughout can feel like it’s mostly just gatekeeping, but it’s pretty valuable for demonstrating that you’re aware of the existing research in the area. This is especially important for research in a topic like this tends to attract a lot of cranks (my friends tell me that they fairly frequently get slightly unhinged emails from people who are adamant that they have solved the theory of consciousness). Citations throughout the body of your research makes it clear what points are your own, and what is the established research.

Making it clear what you’re drawing on is especially important for interdisciplinary research like this, because it helps people who know one part of things really well, but don’t know much about the others. For example, although I am familiar with Friston’s paper, I don’t know what has happened in the field since then. I also know some information theory stuff, but not much. Citations are way of implicitly saying “if you’re not clear on where we’re getting this particular thing from, you can go read more here”.

For example, if you have a bit that’s made up of 2 statements:

• (1): Something that’s either explicitly stated in Friston’s paper, or is a straightforwardly clear consequence of something explicitly stated
• (2): Something that your analysis is adding to Friston’s as a novel insight or angle

Then you can make statement 2 go down far easier if that first statement. I use Friston in this example both because I am familiar with the work, but also because I know that that paper was somewhat controversial in some of its assumptions or conclusions. Making it clear what points are new ones you’re making vs. established stuff that’s already been thoroughly discussed in its field can act sort of like a firebreak against criticism, where you can have the best of both worlds of being able to build on top of existing research while also saying “hey, if you have beef with that original take, go take it up with them, not us”. It also makes it easier for someone to know what’s relevant to them: a neuroscientist studying consciousness who doesn’t vibe with Friston’s approach would not have much to gain from your paper, for instance.

It’s also useful to do some amount of summarising the research you’re building on, because this helps to situate your research. What’s neuroscience’s response to Friston’s paper? Has there been much research building upon it? I know there have been criticisms against it, and that can also be a valid angle to cover, especially if your work helps seal up some holes in that original research (or makes the theory more useful such that it’s easier to overlook the few holes). My understanding is that the neuroscientific answer to “what even is consciousness?” is that we still don’t know, and that there are many competing theories and frameworks. You don’t need to cover all of those, but you do need to justify why you’re building upon this particular approach.

In this case specifically, I suspect that the reason for building upon Friston is because part of the appeal of his work is that it allows for this kind of mathsy approach to things. Because of this, I would expect to see at least some discussion of some of the critiques of the free energy principle as applied to neuroscience, namely that:

• The “Bayesian brain” has been argued as being an oversimplification
• Some argue that the application of physical principles to biological systems in this manner is unjustified (this is linked to the oversimplification charge)
• Maths based models like this are hard to empirically test.

Linked to the empirical testing, when I read the phrase “yielding testable implications for cognitive neuroscience”, I skipped ahead because I was intrigued to see what testable things you were suggesting, but I was disappointed to not see something more concrete on the neuroscience side. Although you state

“The values of dI/dT can be empirically correlated with neuro-metabolic and cognitive markers — for example, the rate of neural integration, changes in neural network entropy, or the energetic cost of predictive error.”

that wasn’t much to go on for learning about current methods used to measure these things. Like I say, I’m very much not a neuroscientist, just someone with an interest in the topic, which is why I was interested to see how you proposed to link this to empirical data.

I know you go more into depth on some parts of this in section 8, but I had my concerns there too. For instance, in section 8.1, I am doubtful of whether varying the temporal rate of novelty as you describe would be able to cause metabolic changes that would be detectable using the experimental methods you propose. Aren’t the energy changes we’re talking about super small? I’d also expect that for a simple visual input, there wouldn’t necessarily be much metabolic impact if the brain were able to make use of prior learning involving visual processing.

I hope this feedback is useful, and hopefully not too demoralising. I think your work looks super interesting and the last thing I want to do is gatekeep people from participating in research. I know a few independent researchers, and indeed, it looks like I might end up on that path myself, so God knows I need to believe that doing independent research that’s taken seriously is possible. Unfortunately, to make one’s research acceptable to the academic community requires jumping through a bunch of hoops like following good citation practice. Some of these requirements are a bit bullshit and gatekeepy, but a lot of them are an essential part of how the research community has learned to interface with the impossible deluge of new work they’re expected to keep up to date on. Interdisciplinary research makes it especially difficult to situate one’s work in the wider context of things. I like your idea though, and think it’s worth developing.