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Theoretical exploration models consciousness and dreams using geometric relationships within relational manifolds.
We propose a speculative extension of Directional Relational Manifolds (DRM) in which consciousness is modeled as a dynamical observer navigating an emergent relational geometry. Building upon the DRM framework and its relativistic extension, we interpret dreams as temporary expansions of accessible relational dimensions. Within this framework, alternative futures appear as neighboring regions of a unified relational manifold. Dreams correspond to geodesic exploration of these regions, while recurring dream motifs emerge from future attractors generated by the manifold's geometry. The resulting model provides a geometric interpretation of consciousness, dreams, temporal intuition, parallel worlds, and future anticipation within a single mathematical framework. This work should be interpreted as a theoretical exploration rather than an experimentally validated physical theory.
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Felipe Muniz (2026) studied this question.
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