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{Ø,U}: The Source Code of Comprehension (V2)
This paper presents the {Ø,U} framework, a novel model describing how finite information processing systems must discretize continuous reality to achieve comprehension. Synthesizing insights from information theory, neuroscience, physics, and contemplative traditions, the framework posits that all finite observers, from brains to AI, operate through a shared architecture of binary distinction and hierarchical aggregation. The paper develops "metacalculus," demonstrating how all observation performs calculus-analogous operations (differentiation, integration, optimization) and extends this into ethics with the "Calculus of Agape," which reframes moral progress as smoothing discontinuities in human flourishing. While the framework's core is epistemological, it culminates in a speculative ontological extension: a theory of "Consciousness Consolidation." This model, which connects to Integrated Information Theory (IIT), proposes that consciousness is the fundamental continuous substrate of reality, which consolidates into self-aware forms at different levels of aggregative complexity. Ultimately, {Ø,U} offers a new language and a unified lens for analyzing the architecture of comprehension itself.
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