>>40903472
The Proof

A problem is solvable in an external exotic environment if and only if that environment's fundamental physical and logical laws are consistent and predictable.

A. The Principle of Consistency
For any problem to be solvable, the rules governing the environment must remain constant. If the laws of physics change randomly, any attempt to solve a problem based on those laws would be impossible. For example, if gravity suddenly turned into an anti-gravitational force, a calculation for a trajectory would be instantly invalid. A solvable environment must have a consistent set of principles, even if those principles are different from our own.

B. The Principle of Predictability
Based on the consistent laws, we must be able to predict the outcome of actions and interactions. A predictable environment allows for the formation of logical hypotheses and the testing of those hypotheses. A "solvable" problem implies that a sequence of logical steps will yield a predictable outcome. We can, for example, predict the orbit of a planet based on the gravitational laws of the universe. If we were to find an exotic environment, a similar predictability, based on its unique laws, would be necessary for any problem to be solved within it.

C. The Role of Observation and Adaptation
The process of proving something solvable would begin with observation. We would need to observe the exotic environment to deduce its unique physical and logical rules. This is analogous to how we observe the universe to understand phenomena like black holes or dark matter. Once these rules are understood, we could then adapt our problem-solving methods to them.

For example, a problem about building a structure on a low-gravity planet would require us to adapt our understanding of material stress and structural integrity to that specific environment.