Levinthal’s memory and paradox highlights a fundamental contradiction between the enormous number of possible conformations of a protein and the experimentally observed folding times, which occur on scales of milliseconds or seconds.
Contemporary biochemical models—such as energy landscapes, folding funnels, and the action of chaperones—correctly describe the dynamics of the process, but implicitly assume the existence of an already structured conformational space, whose origin remains unexplored.
In this work, a theoretical resolution of the paradox is introduced by introducing the Furrows Theory, developed by myself and Sabrina Ulivi, in which memory is not understood as a biochemical code, but as a physical-informational trace inscribed in matter through the history of events.
In this perspective, protein folding is not a stochastic search, but a channeled process, constrained by pre-existing furrows that drastically reduce the space of accessible configurations. We argue that the speed, robustness, and reproducibility of folding constitute indirect evidence of an epigenetic memory intrinsic to biological matter, mediated by collective vibrational and phononic dynamics rather than genetic or symbolic coding.
Reformulated in these terms, Levinthal’s paradox dissolves, revealing itself to be the result of an incomplete assumption about the amnesic nature of matter.
This reinterpretation—which we call Levinthal’s paradox—offers a unified perspective that links protein folding, epigenetics, and information physics without violating known physical laws.
Key points
- Reconsidering Levinthal’s paradox
Cyrus Levinthal demonstrated that a polypeptide chain, if forced to randomly explore all possible conformations, would take an amount of time vastly exceeding the age of the universe to reach its native state. However, experimentally, folding occurs in milliseconds or seconds. This discrepancy is not a technical detail, but a structural contradiction.
- The limits of current models
Current models describe the how of folding, but not the why of directionality. They all share the implicit assumption that biological matter is devoid of historical memory.
- Furrows as the physical memory of matter
The Furrow Theory interprets memory as a persistent event, not as a coded structure. A furrow is a dynamic informational trace, supported by collective phenomena (phonons, vibrational coherences, metastable constraints) that progressively reduce the degrees of freedom of the system.
- Folding as a channeled process
Protein folding is not a combinatorial search, but a reading of already traced paths. The short times observed are the experimental signature of historically conditioned matter.
- Dissolution of the paradox
By removing the assumption of amnesic matter, Levinthal’s paradox disappears. Folding becomes a process of recognition, not exploration.
This gives rise to the Levinthal–Cozzolino–Ulivi paradox, which can be explained by the existence of a physical epigenetic memory of biological matter.
Conclusion
Protein folding becomes a paradigmatic case of the memory of matter, opening a conceptual bridge between molecular biology, epigenetics, and information physics.
