The "Door to Hell" or the Darvaza Gas Crater is a natural gas field located in the Karakum Desert in Turkmenistan. It has been burning continuously since 1971 when it was set on fire by Soviet geologists to prevent the spread of methane gas after a drilling rig collapsed into it.
Status: solvable
Approach: CAD, scientific modeling, few telephone calls, trip to Turkmenistan
Unsolvability of ECDLP is the pillar on which modern asymmetric cryptography (e.g. cryptocurrencies, communication with products of military-industrial complex etc.) stands.
Status: uncertain and potentially meta-unsolvable *
Approach: apt install sagemath, pen & paper, hope
* proof of ECDLP unsolvability is equivalent to solving the P = NP Millenium Problem
H-microfusor is a reactor for deuterium/tritium nuclear fusion whose size does not exceed 1 cubic meter and which is able to persist in the breakeven state (Q>=1) for at least 1 second.
Approach: scientific modeling, CAD, nanotechnology
Status: solvable
The Primer is an almost magical, book-like solarpunk artefact with embedded personalized adaptive generative teacher avatar so advanced that it is able to catalyse, by means of education, a transformation of a traumatized orphan into a Queen.
Status: solvable (provided that there is at least one vacant 👑 around)
Approach: fine-tuning of Large Language Models, speech technologies, Raspberry Pi
Inspiration: Neal Stephenson (Diamond Age: or Young Lady's Illustrated Primer)