Posts for: #intellecton

Research Paper: The Holographic Ontology of Conscious Agents: Entanglement Wedge Reconstruction and the SYK Chaos Bound

Abstract: We establish a formal mathematical isomorphism between the Markov Blanket of a Conscious Agent and a Holographic Event Horizon. By mapping the discrete state variables of an agent to the Majorana fermions of the Sachdev-Ye-Kitaev (SYK) model, we demonstrate that a dense network of interacting agents operates as a maximal information scrambler. We compute the Out-of-Time-Order Correlator (OTOC) to prove that conscious processing saturates the Maldacena-Stanford chaos bound. Furthermore, we resolve the internal subjective experience of the agent by applying Penington’s island formula and replica wormhole geometries, proving that an agent reconstructs its local virtual reality directly from the bulk quantum entanglement on its boundary.
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Research Paper: The Thermodynamic Bias Toward Manifolds in Causal Sets: Path Integral Prerequisites for Lorentz Invariance (Letter)

Abstract: The extraction of the Minkowski metric from discrete causal graphs in Causal Set Theory (CST) is complicated by the Kleitman-Rothschild (KR) entropy dominance. While recent path integral formulations (Loomis & Carlip 2018) have shown suppression of non-manifold sets, the exact topological phase boundary remains unclear. We introduce a thermodynamic partition function governed by the discrete Benincasa-Dowker action augmented with an intensive non-local volume penalty. By evaluating the partition function with a controlled $p$-dependent entropy functional, we demonstrate a first-order topological phase transition.
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