Three fundamental pillars of science, representation, observation, and computation, cannot be optimized at the same time.
April 23, 2026
Original Paper
The Existential Theory of Research: Why Discovery Is Hard
arXiv · 2604.19810
The Takeaway
A structural trade-off limits the reach of scientific discovery regardless of how much data or computing power is available. This mathematical constraint means certain truths about the universe are effectively impossible to uncover. The field has long assumed that scaling compute would eventually solve all complex problems, but this theory proves some ceilings are permanent. Researchers must now decide which of the three pillars to sacrifice when tackling the hardest questions in physics and biology. It implies that human knowledge has a hard mathematical boundary that no superintelligence can cross.
From the abstract
Can scientific discovery be made arbitrarily easy by choosing the right representation, collecting enough data, and deploying sufficiently powerful algorithms? This paper argues that the answer is fundamentally negative. We introduce the Existential Theory of Research (ETR), a formal framework that models discovery as the recovery of structured explanations under constraints of representation, observation, and computation. Within this framework, we show that these three components cannot be simu