You can look at research about using antibiotics or fecal-matter transplants and outcomes on both physiological and psychological health.
Too many to list for antibiotics and host health:
https://scholar.google.com/scholar?hl=en&as_sdt=0%2C10&q=ant...
Here's one about treating metabolic syndrome with fecal-matter transplants to cause a shift in host microbiome
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5045147/
"The human gut microbiome is recognized as an independent environmental modulator of host metabolic health and disease. Research in animal models has demonstrated that the gut microbiome has the functional capacity to induce or relieve metabolic syndrome."The question is if you can treat the brain by doing something to a healthy arm, or vice versa.
Just because there are not currently any FDA approved medicines doesn’t mean it isn’t science. I also would push back at anyone asserting government approval is required for science to be accurate.
Get a load of this literature review on the gut brain axis from pages 88-137, 49 pages listing over 1694 totally bogus citations: https://journals.physiology.org/doi/pdf/10.1152/physrev.0001.... There's clearly no epistemological basis for this stuff!
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From the point of view of somebody with IBD, negative cognitive effects in the middle of a flare seem pretty "common sense" obvious but it could also be down to dehydration etc... But that's in the case where there is a specific physical gut disease process in progress. I imagine that treating mental health conditions by altering the gut in people who have healthy bowels is probably a dead end.
If true, this could potentially provide breakthroughs against Alzheimer's, Parkinson's, autism, and a whole host of other diseases.
[1] I know hope isn't science. But let's give the investigators plenty of money to continue this research. This is the most promising new line of thinking we've had towards solving these diseases in my entire lifetime. beta amyloid, tau, and the rest haven't gotten us anywhere.
I feel, science when it comes to directly observable and measurable systems works pretty well and is accurate. However, when same is applied to systems which are not lab controlled/controllable (like human diet) then it really hard to prove of disprove anything. We are better off believing things which are proven in practice than believe bigpharma funded studies which can be (and are) manipulated by fudging, manufacturing and/or simply twisting data.
The exponential progress of technology isn't just the Internet and rockets and GDP. It's all knowledge and all tools derived from it, many of which are necessary to make further scientific advances. Arguably, all that's useful has been invented or refined in the last 200 years, with the distribution leaning heavily towards the present.
So yeah, it took scientists a while to declare that smoking is bad. There were many reasons for it, but a major contributing factor was that they had neither good models nor good tools until very recently.