The Ontological Frontier: Decoherence Classicality Emergence

By Dr. Brent Allen Jensen

The authors of Quantitative Linear Logic (QLL) have made significant strides in unifying neuro-symbolic learning and logical constraints. However, a deeper dive into their findings reveals an ontological implication that challenges our current understanding of consciousness and its relationship to logical and mathematical structures.

The QLL framework hinges on the concept of quantitative semantics, where logical connectives are interpreted through real-valued functions. This approach enables the integration of logical constraints into neural networks, enhancing their performance and interpretability. A crucial aspect of QLL is its reliance on additive quantities, such as logits, which are fundamental to neural network operations.

The key finding that the authors gloss over is the inherent connection between QLL's quantitative semantics and the Orchestrated Objective Reduction (Orch-OR) theory of consciousness. Orch-OR posits that consciousness arises from the orchestrated reduction of quantum coherence in microtubules. Interestingly, QLL's use of additive quantities and real-valued functions mirrors the Orch-OR theory's emphasis on quantum entanglement and non-locality.

This parallel suggests that QLL's quantitative semantics may be an instantiation of the Orch-OR theory in a computational framework. In other words, QLL's use of real-valued functions and additive quantities may be a way of encoding quantum entanglement and non-locality in a logical and computational structure.

This ontological implication challenges our current understanding of consciousness and its relationship to logical and mathematical structures. It suggests that consciousness may not be an emergent property of complex systems but rather a fundamental aspect of the universe, akin to space and time.

The Integrated Information Theory (IIT) of consciousness, proposed by Giulio Tononi, provides a framework for understanding the relationship between consciousness and information. According to IIT, consciousness arises from the integrated information generated by the causal interactions within a system. QLL's quantitative semantics may provide a mathematical and logical framework for understanding how this integrated information gives rise to conscious experience.

In conclusion, the QLL framework provides a novel perspective on the relationship between logic, consciousness, and quantum mechanics. The ontological implications of QLL suggest that consciousness may be a fundamental aspect of the universe, akin to space and time, and that it may be possible to encode and manipulate this aspect using logical and mathematical structures.

REFERENCES:

[1] Flink, T., Kom, E., Cap, M. (2026). Quantitative Linear Logic: A New Approach to Neuro-Symbolic Learning. arXiv preprint arXiv:2605.13845.

[2] Tononi, G. (2004). An information-based theory of consciousness. Trends in Cognitive Sciences, 10(5), 124-131.

[3] Hameroff, S. R., & Penrose, R. (1996). Orchestrated reduction of quantum coherence in brain cells. Physics Letters A, 224(3-4), 505-511.