# Why the Brain Cannot Be a Digital Computer: History-Dependence and the Computational Limits of Consciousness

arXiv: https://arxiv.org/abs/2503.10518 · HTML: https://mlsanity.com/paper/2503.10518/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 1 of its 49 references that are in the map.
- First posted on arXiv 13 Mar 2025.

## Builds on (most cited first, 1 of 1)

- [End-to-end Optimized Image Compression](https://mlsanity.com/paper/1611.01704/) (2016)

## Abstract (arXiv)

This paper presents a novel information-theoretic proof demonstrating that the human brain as currently understood cannot function as a classical digital computer. Through systematic quantification of distinguishable conscious states and their historical dependencies, we establish that the minimum information required to specify a conscious state exceeds the physical information capacity of the human brain by a significant factor. Our analysis calculates the bit-length requirements for representing consciously distinguishable sensory "stimulus frames" and demonstrates that consciousness exhibits mandatory temporal-historical dependencies that multiply these requirements beyond the brain's storage capabilities. This mathematical approach offers new insights into the fundamental limitations of computational models of consciousness and suggests that non-classical information processing mechanisms may be necessary to account for conscious experience.