The way drugs interact with your body might be a result of pure geometry and physics rather than just complex chemical reactions.
April 29, 2026
Original Paper
Geometric Consequences of Bounded Phase Space Mechanics on Pharmacodynamics: Drug-Target Interaction, Dose-Response, and Selectivity
SSRN · 6582919
The Takeaway
Traditional pharmacology relies on the idea of a chemical lock and key where a drug fits perfectly into a protein. This new model derives the same results using the math of bounded phase space, which describes how objects move within a set of constraints. It suggests that dose response curves and drug selectivity are dictated by the physical boundaries of the system rather than individual chemical bonds. This shift means that drug behavior can be predicted with much simpler geometric equations. It could revolutionize how we design new medicines by focusing on the physical architecture of the body’s cells. It suggests the universe is more predictable than we imagined.
From the abstract
We derive pharmacodynamics from a single axiom: physical systems occupy bounded regions of phase space admitting partition and nesting. From this axiom we derive, inline, the partition coordinate system (n, ℓ, m, s) with capacity C(n) = 2n 2 , the partition depth M, the Composition Theorem, the Compression Theorem, and the Conservation Theorem. Drug Ptarget interaction follows as partition completion with binding energy E bind = T P k B ln b • ∆M and equilibrium dissociation K d = exp(-∆M bind l