I had similar experiences the first time I tried a recreational drug - it was with my father and we watched Nova on PBS. We spent hours convinced we had novel theories on spacetime and wrote them down, believing we had stumbled upon revolutionary scientific insight.
When we reviewed them in the morning they were absolute nonsense!
I believe it is a misapplication of entheogens to try solving "IQ problems" with them. I've found them to be incredibly valuable for personal development and solving "EQ problems" - the kind that my sober mind didn't ordinarily process much at all by default, being on the autism spectrum. Psychedelics for me allowed me to become intensely aware and attuned to the emotional and psychological state of others and allows me to imagine myself in their shoes and empathize with their struggles in life (even if entirely unrelated to anything I've ever personally experienced). This altered state of mind introduced me to an entirely new way of thinking that had led to me being a kinder, more compassionate, more considerate, more socially capable person in a persistent, lasting way that has long outlived the psychoactive effects of the psychedelics.
Psychedelic culture has this notion of "reintegration", where in the week(s) after a trip it can take some time to fully internalize the epiphanies and lessons from the trip. During my first reintegration, I realized that I kinda used to interact with everyone in the world in a manner roughly analogous to really advanced NPCs in a role playing game I was forced into called life, and had no realization that I was doing this and lacked full appreciation for the depth of other people as human beings for the first quarter century and change of my life.
Accordingly, I see psychedelics as a profound tool of interpersonal growth and development, but never the kind of thing I'd take to try solving a vexing technical problem - that's a different job that takes a different tool.
PS to anyone else reading: this should not be taken as an endorsement or recommendation for anyone to attempt to procure and use psychedelics. There are serious mental health risks involved for vulnerable populations, risks of contaminated or laced products if procured from untrustworthy or disreputable sources, and more. If you are unsure of whether you're a part of certain vulnerable populations, I'd urge you to consult with a qualified, licensed therapist or mental healthcare provider to get a less-biased second opinion on whether or not you're at elevated risk, just to be sure, but remember this is just one of several risks.
> I see psychedelics as a profound tool of interpersonal growth and development, but never the kind of thing I'd take to try solving a vexing technical problem...
May work for some folks[1]:
> A number of subjects had worked for weeks or months on their chosen projects without being able to find a satisfactory solution. Various psychologic tests and tests of creativity were administered before and after the drug sessions, which involved administration of 200 mg mescaline. Participants were prepared by presession interviews and instructions regarding how to approach the drug sessions. The results reported are rather remarkable. Of the 44 problems brought by the subjects, 20 had new avenues opened for further investigation, 1 was a developmental model that received authorization to test the solution, a working model had been completed for 2, 6 had a solution that had been accepted for construction or production, and 10 had partial solutions that were being developed further or being applied in practice. No solution was obtained only for four of the problems. Although lacking detailed specifics as well as a follow-up, this early report does suggest that psychedelics might acutely improve creativity.
> ... Another incidence of psychedelic drug–induced creativity from the scientific community comes from Nobel Prize–winning chemist Dr. Kary Mullis, the inventor of PCR, who is quoted as saying “Would I have invented PCR if I hadn’t taken LSD? I seriously doubt it… I could sit on a DNA molecule and watch the polymers go by. I learnt that partly on psychedelic drugs.”
When we reviewed them in the morning they were absolute nonsense!