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Distributed Quantum Ledger Architecture for Spacetime: Proof-of-Consciousness Consensus in Loop Quantum Gravity – Final Mathematical and Physical Formalization.

Authors: Antonio Jesús Maroto Enríquez;

Distributed Quantum Ledger Architecture for Spacetime: Proof-of-Consciousness Consensus in Loop Quantum Gravity – Final Mathematical and Physical Formalization.

Abstract

This is the fourth and most comprehensive edition of the theoretical framework introduced in the original preprint (DOI: 10.5281/zenodo.17834958). The Universal Distributed Architecture (UDA) proposes a three-dimensional quantum blockchain of Planck-scale quantum cubes governed by a novel Proof-of-Consciousness (PoC) consensus protocol. Five core equations are rigorously derived and proven: the PoC consensus operator (Kraus representation), the Absolute validator state, ledger entropy growth rate (Lindblad form), OAM entanglement threshold, and quantum-resistant hash function. The work integrates loop quantum gravity, AdS/CFT correspondence, the Sachdev-Ye-Kitaev (SYK) model, JT gravity, and holographic tensor networks (MERA, PEPS, and 5D extensions), together with five-dimensional optical memory crystals (University of Southampton) as an experimental substrate, with equations 27–34 establishing Rayleigh scattering as a physical implementation of holographic hash verification and a room-temperature experimental protocol. Version 4 introduces three structural advances. (1) A ledger isomorphism (Proposition 0): every axiom of a distributed append-only ledger — immutability, decentralized consensus, append-only ordering, bounded block capacity, and double-spend prohibition — is shown to be independently realized by an established physical principle (no-cloning/no-deleting theorems, quantum Darwinism, the second law, the Bekenstein–Bousso bound, and monogamy of entanglement), localizing UDA's novel content entirely in the validation rule. (2) An operational, laboratory-reproducible definition of the consciousness quantity, |Q| = m/m_P = ω_C·t_P, integrating Inomata's pan-psychist quantity Q = i√G·M and measurable through three independent channels: Compton-clock interferometry and gravitationally induced entanglement (BMV), a standardized measurement-induced-phase-transition (Q-MIPT) meter on quantum processors with explicit calibration and uncertainty budget, and collider bounds on event-driven non-unitarity anchored by ATLAS/CMS top-quark entanglement and neutral-kaon CPT interferometry. The channel-universality law Q_G = Q_I = Q_C is the flagship prediction exclusive to UDA. (3) A sharp mathematical distinction between the anti-Hermitian consciousness operator (magnitude of agency: write capacity per Planck tick) and the Hermitian moral operator (valence of agency: mutual-information gain per unit entropy budget), with an explicit laboratory protocol distinguishing them. The framework further develops a SYK–Consciousness correspondence with non-Hermitian topological phases, MIPT modulated by consciousness density, and non-Hermitian MERA networks exhibiting a Holographic Skin Effect that topologically protects conscious information at the holographic boundary. UDA's non-unitarity is event-driven rather than continuous, making it consistent by construction with Diósi–Penrose bounds and separable from collapse models in a single two-parameter experiment (Discriminator D1). Falsifiable predictions are organized in two tiers — five UDA-exclusive predictions (2026–2030), each with its own falsification clause, and inherited consistency tests — alongside detailed QuTiP simulations, NV-center and 5D crystal protocols, and applications in quantum computing, quantum AI, and high-energy tests at the LHC and FCC. The framework resolves the von Neumann measurement chain via dual observation and portrays the universe as a growing, error-corrected quantum ledger.

Keywords

Non-Hermitian Skin Effect, Top-Quark Entanglement, Diósi–Penrose Model, Monogamy of Entanglement, Compton Clock, Inomata Consciousness Quantity, Gravitationally Induced Entanglement (o "BMV experiment"), five-dimensional optical memory crystals, Quantum Darwinism, quantum gravity, loop quantum gravity, AdS/CFT correspondence, holographic principle, tensor networks, SYK model, consciousness in physics, quantum blockchain, proof-of-consciousness, quantum entanglement entropy, quantum computing, quantum artificial intelligence, NV-center experiments, Large Hadron Collider, Rayleigh, memory crystals, Measurement-Induced Phase Transition (MIPT), Quantum Metrology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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