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arXiv:1005.2739 · Foundations of Physics

Quantum Mechanics Emerges from Information Theory Applied to Causal Horizons

Jae Weon Lee

Published Nov 2, 2010• 23 citations
arXivHTMLPDF
DOI
10.1007/s10701-010-9514-3

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This work introduces the uncertainty-stack mechanism within a broader horizon-bounded emergent spacetime framework. In horizon-bounded descriptions of physics, each observer subsystem possesses access only to a finite causal region. The boundary of this region behaves as a causal horizon carrying entropy, which implies that every observer subsystem carries intrinsic thermodynamic uncertainty. When many observers coexist, their causal diamonds overlap and generate shared information regions. These overlaps produce correlations that constrain the uncertainties of neighboring observers. The present work proposes that classical spacetime domains arise when correlation binding across overlap networks becomes strong enough to overcome the intrinsic uncertainty carried by the observers themselves. The framework introduces uncertainty stacks, entropic binding functionals, and a coherence functional that acts as an order parameter for spacetime phases. Classical spacetime is interpreted as a stable thermodynamic phase emerging from overlap networks of horizon-bounded observers. The record includes two files: 1. The main paper introducing the uncertainty-stack mechanism and its thermodynamic interpretation. 2. A supporting toy model demonstrating how coherence thresholds emerge on overlap networks. This work forms part of a broader research program exploring emergent spacetime from observer-bounded thermodynamic systems. Related contributions in the program include work on thermodynamic admissibility constraints (“Iron Laws”), perturbative stability conditions for coherent spacetime domains, and the inevitability of observers in irreversible universes.
According to the holographic principle, the information content assigned to a gravitational region is processed by its lower dimensional boundary. As an example setup compatible with this principle, the AdS/CFT correspondence relies on the existence of D-branes in superstring theory. Black hole complementarity is inevitably linked to holography and states that information associated with the collapsed pure state is reflected in the near horizon region. Yet, if this is so, it is indispensable to understand the mechanism that makes black holes viewed from the outside evolve unitarily. We here argue that the information preserving quantum atmosphere of the black hole emerges from hidden variables on its horizon which would necessitate going beyond a probabilistic description within standard quantum theory. In AdS/CFT, this would mean that the completion of the semiclassical subalgebra to the complete boundary algebra has to be traced back to the emergent near horizon Hilbert space structure. The present investigations suggest that spacetime horizons, in general, may play a crucial role in restoring a long speculated ontology in quantum mechanics.
Quantum Time Flow (QTF) introduces a conceptual model in which time is treated not as an external parameter but as a physical, null-propagating field composed of discrete quanta (“time quanta”). Objects do not move through time; instead, their worldlines traverse a flux of this field, and experienced temporal flow emerges from the local geometry and density of that flux. The model reinterprets relativistic phenomena—such as time dilation, horizon structure, and causal boundaries—as consequences of intersections between physical worldlines and the null time field. Linear time is viewed as an emergent coordinate system imposed on a deeper causal architecture. QTF also proposes an alternative interpretation of quantum entanglement. Rather than invoking non-local interactions between material systems, entanglement is treated as a structural correlation encoded in the configuration of the time field itself. This paper presents the postulates of the QTF model, its continuous and discrete formulations, and its conceptual implications. Although purely theoretical and not yet empirically tested, the framework is internally consistent and integrates ideas from relativity, causal set theory, and information-theoretic approaches to quantum mechanics.