This is the academically citable, open-access companion to the printed monograph "Enticuant: Book IX of the RCD 2.0 Program — Five Chapters on Coherence: Geometry, Thermodynamics, and Empirical Law" (Arturo Cerezo García, Quantum Benchmark Insights, May 2026, ISBN-13 979-8195474782). Book IX of the RCD 2.0 program (Radial Coherential Dynamics) introduces and consolidates a new conceptual term — the enticuant — and gathers five chapters that the program took two years to earn. Not by speculation. By measurement, by calculation, by verification across multiple independent quantum hardware platforms. The enticuant names what the coherential field C(x,t) becomes when it crosses from formal scalar to operational object: when its decoherence is organized by the Hamming distance, when its irreversibility is measured on real quantum machines, when its geometric counterpart in disformal gravity is bounded by mathematical theorem. Five chapters, five verbs: — RELOCATE: GHZ entanglement is moved from theoretical center to coherential limit (Chapter VI), based on a five-platform validation campaign on IBM Heron, IonQ Forte, Rigetti Ankaa-3, IQM Garnet, and IQM Emerald. — SITUATE: RCD is positioned with respect to the Standard Model (Chapter VII), declaring four explicit walls the program does not cross. — NAME: The Coherential Hamming Law (Chapter VIII), a transversal empirical regularity verified on five quantum architectures with statistical significance p ≈ 7×10⁻²⁷. — MEASURE: The first structured experimental measurement of the coherential component of irreversible entropy Ξ on commercial NISQ hardware (Chapter IX), with a six-point curve on IBM ibm_fez. — PROVE: A mathematical theorem of disformal subluminality with dust (Chapter X), demonstrating that the scalar sound speed in DHOST gravity is subluminal in any astrophysically relevant environment, with explicit GW170817 compatibility. Each chapter integrates a guest voice — Hamming, Heraclitus, Boltzmann, Newton, Lao Tzu, Vera Rubin, and others — acknowledging the program's debt to twenty-five centuries of rigorous thought. The complete book consists of: Threshold, Foreword, Prologue ("La Idea Antes de la Idea"), and ten integrated chapters (I — The Coherential Field; II — Coherential Perturbations; III — Gravitational Coupling; IV — The Enticuant; V — Geodesometry of Coherence; VI — GHZ as Coherential Limit; VII — Two Scalar Fields; VIII — Coherential Hamming Law; IX — Thermodynamics of Coherence; X — Geometry of Coherence). All raw experimental data referenced in the book is publicly deposited on Zenodo. The measurement remains the arbiter. Five chapters, five verbs: Relocate · Situate · Name · Measure · Prove. This Zenodo deposit makes the full text openly available under CC-BY 4.0 alongside the printed paperback edition, enabling academic citation, indexing in OpenAIRE, and integration into the broader RCD 2.0 program registry on Zenodo.This is the academically citable, open-access companion to the printed monograph "Enticuant: Book IX of the RCD 2.0 Program — Five Chapters on Coherence: Geometry, Thermodynamics, and Empirical Law" (Arturo Cerezo García, Quantum Benchmark Insights, May 2026, ISBN-13 979-8195474782). Book IX of the RCD 2.0 program (Radial Coherential Dynamics) introduces and consolidates a new conceptual term — the enticuant — and gathers five chapters that the program took two years to earn. Not by speculation. By measurement, by calculation, by verification across multiple independent quantum hardware platforms. The enticuant names what the coherential field C(x,t) becomes when it crosses from formal scalar to operational object: when its decoherence is organized by the Hamming distance, when its irreversibility is measured on real quantum machines, when its geometric counterpart in disformal gravity is bounded by mathematical theorem. Five chapters, five verbs: — RELOCATE: GHZ entanglement is moved from theoretical center to coherential limit (Chapter VI), based on a five-platform validation campaign on IBM Heron, IonQ Forte, Rigetti Ankaa-3, IQM Garnet, and IQM Emerald. — SITUATE: RCD is positioned with respect to the Standard Model (Chapter VII), declaring four explicit walls the program does not cross. — NAME: The Coherential Hamming Law (Chapter VIII), a transversal empirical regularity verified on five quantum architectures with statistical significance p ≈ 7×10⁻²⁷. — MEASURE: The first structured experimental measurement of the coherential component of irreversible entropy Ξ on commercial NISQ hardware (Chapter IX), with a six-point curve on IBM ibm_fez. — PROVE: A mathematical theorem of disformal subluminality with dust (Chapter X), demonstrating that the scalar sound speed in DHOST gravity is subluminal in any astrophysically relevant environment, with explicit GW170817 compatibility. Each chapter integrates a guest voice — Hamming, Heraclitus, Boltzmann, Newton, Lao Tzu, Vera Rubin, and others — acknowledging the program's debt to twenty-five centuries of rigorous thought. The complete book consists of: Threshold, Foreword, Prologue ("La Idea Antes de la Idea"), and ten integrated chapters (I — The Coherential Field; II — Coherential Perturbations; III — Gravitational Coupling; IV — The Enticuant; V — Geodesometry of Coherence; VI — GHZ as Coherential Limit; VII — Two Scalar Fields; VIII — Coherential Hamming Law; IX — Thermodynamics of Coherence; X — Geometry of Coherence). All raw experimental data referenced in the book is publicly deposited on Zenodo. The measurement remains the arbiter. Five chapters, five verbs: Relocate · Situate · Name · Measure · Prove. This Zenodo deposit makes the full text openly available under CC-BY 4.0 alongside the printed paperback edition, enabling academic citation, indexing in OpenAIRE, and integration into the broader RCD 2.0 program registry on Zenodo.

May 4, 20262 citations

Classical & quantum dynamics of information and entanglement properties of fermion systems

Claudia Zander

Due to their great importance, both from the fundamental and from the practical points of view, it is imperative that the various facets of the concepts of information and entanglement are explored systematically in connection with diverse physical systems and processes. These concepts are at the core of the emerging field of the Physics of Information. In this Thesis I investigate some aspects of the dynamics of information in both classical and quantum mechanical systems and then move on to explore entanglement in fermion systems by searching for novel ways to classify and quantify entanglement in fermionic systems. In Chapter 1 a brief review of the different information and entropic measures as well as of the main evolution equations of classical dynamical and quantum mechanical systems is given. The conservation of information as a fundamental principle both at the classical and quantum levels, and the implications of Landauer's theorem are discussed in brief. An alternative and more intuitive proof of the no-broadcasting theorem is also provided. Chapter 2 is a background chapter on quantum entanglement, where the differences between the concept of entanglement in systems consisting of distinguishable subsystems and the corresponding concept in systems of identical fermions are emphasized. Different measures of entanglement and relevant techniques such as majorization, are introduced. To illustrate some of the concepts reviewed here I discuss the entanglement properties of an exactly soluble many-body model which was studied in paper (E) of the publication list corresponding to the present Thesis. An alternative approach to the characterization of quantum correlations, based on perturbations under local measurements, is also briefly reviewed. The use of uncertainty relations as entanglement indicators in composite systems having distinguishable subsystems is then examined in some detail. Chapter 3 is based on papers (A) and (B) of the list of publications. Extended Landauer-like principles are developed, based amongst others on the conservation of information of divergenceless dynamical systems. Conservation of information within the framework of general probabilistic theories, which include the classical and quantum mechanical probabilities as particular instances, is explored. Furthermore, Zurek's information transfer theorem and the no-deleting theorem are generalized. Chapter 4 is based on articles (C) and (D) mentioned in the publication list, and investigates several separability criteria for fermions. Criteria for the detection of entanglement are developed based either on the violation of appropriate uncertainty relations or on inequalities involving entropic measures. Chapter 5 introduces an approach for the characterization of quantum correlations (going beyond entanglement) in fermion systems based upon the state disturbances generated by the measurement of local observables. Chapter 6 summarizes the conclusions drawn in the previous chapters. The work leading up to this Thesis has resulted in five publications in peer reviewed science research journals.Due to their great importance, both from the fundamental and from the practical points of view, it is imperative that the various facets of the concepts of information and entanglement are explored systematically in connection with diverse physical systems and processes. These concepts are at the core of the emerging field of the Physics of Information. In this Thesis I investigate some aspects of the dynamics of information in both classical and quantum mechanical systems and then move on to explore entanglement in fermion systems by searching for novel ways to classify and quantify entanglement in fermionic systems. In Chapter 1 a brief review of the different information and entropic measures as well as of the main evolution equations of classical dynamical and quantum mechanical systems is given. The conservation of information as a fundamental principle both at the classical and quantum levels, and the implications of Landauer's theorem are discussed in brief. An alternative and more intuitive proof of the no-broadcasting theorem is also provided. Chapter 2 is a background chapter on quantum entanglement, where the differences between the concept of entanglement in systems consisting of distinguishable subsystems and the corresponding concept in systems of identical fermions are emphasized. Different measures of entanglement and relevant techniques such as majorization, are introduced. To illustrate some of the concepts reviewed here I discuss the entanglement properties of an exactly soluble many-body model which was studied in paper (E) of the publication list corresponding to the present Thesis. An alternative approach to the characterization of quantum correlations, based on perturbations under local measurements, is also briefly reviewed. The use of uncertainty relations as entanglement indicators in composite systems having distinguishable subsystems is then examined in some detail. Chapter 3 is based on papers (A) and (B) of the list of publications. Extended Landauer-like principles are developed, based amongst others on the conservation of information of divergenceless dynamical systems. Conservation of information within the framework of general probabilistic theories, which include the classical and quantum mechanical probabilities as particular instances, is explored. Furthermore, Zurek's information transfer theorem and the no-deleting theorem are generalized. Chapter 4 is based on articles (C) and (D) mentioned in the publication list, and investigates several separability criteria for fermions. Criteria for the detection of entanglement are developed based either on the violation of appropriate uncertainty relations or on inequalities involving entropic measures. Chapter 5 introduces an approach for the characterization of quantum correlations (going beyond entanglement) in fermion systems based upon the state disturbances generated by the measurement of local observables. Chapter 6 summarizes the conclusions drawn in the previous chapters. The work leading up to this Thesis has resulted in five publications in peer reviewed science research journals.

May 8, 20120 citations

A Dynamical Spacetime Mechanism for Quantum Entanglement with a Falsifiable Experimental Signature

Marco Pettini

Quantum entanglement is a central resource of quantum information science, yet its correlations are ordinarily treated as properties of the quantum state rather than as the outcome of an underlying physical process. Here we explore the hypothesis that these correlations are mediated dynamically by a field propagating locally at finite velocity through an extension of ordinary spacetime. The model embeds physical $(3,1)$ -dimensional spacetime in a warped five-dimensional geometry containing an additional timelike coordinate. Within the adopted geometric ansatz, the form of the extended spacetime metric is determined by the five-dimensional vacuum Einstein equations. A massless field propagating through the resulting five-dimensional bulk can mediate correlations whose projection onto observable four-dimensional spacetime connects arbitrarily distant locations at equal laboratory time, while preserving operational no-signaling. Coupling this field to a Bohm--Bub-inspired collapse scheme provides a possible dynamical realization of entanglement correlations and, under a stated statistical consistency condition, reproduces Born statistics. The framework leads to a concrete experimental test. Two nominally independent Bell pairs are predicted to develop a weak, distance-dependent contextual correlation between particles belonging to different pairs, as a consequence of bulk-field mediation. This cross-pair correlation is absent in standard quantum mechanics for independently prepared systems and is predicted to decrease as the inverse square of their separation. It could therefore be tested by varying the distance between two simultaneous Bell experiments using existing photonic technology. Observation of such a signal would support a dynamical spacetime account of quantum entanglement and could have implications for quantum networks employing multiple independent entangled resources.Quantum entanglement is a central resource of quantum information science, yet its correlations are ordinarily treated as properties of the quantum state rather than as the outcome of an underlying physical process. Here we explore the hypothesis that these correlations are mediated dynamically by a field propagating locally at finite velocity through an extension of ordinary spacetime. The model embeds physical $(3,1)$-dimensional spacetime in a warped five-dimensional geometry containing an additional timelike coordinate. Within the adopted geometric ansatz, the form of the extended spacetime metric is determined by the five-dimensional vacuum Einstein equations. A massless field propagating through the resulting five-dimensional bulk can mediate correlations whose projection onto observable four-dimensional spacetime connects arbitrarily distant locations at equal laboratory time, while preserving operational no-signaling. Coupling this field to a Bohm--Bub-inspired collapse scheme provides a possible dynamical realization of entanglement correlations and, under a stated statistical consistency condition, reproduces Born statistics. The framework leads to a concrete experimental test. Two nominally independent Bell pairs are predicted to develop a weak, distance-dependent contextual correlation between particles belonging to different pairs, as a consequence of bulk-field mediation. This cross-pair correlation is absent in standard quantum mechanics for independently prepared systems and is predicted to decrease as the inverse square of their separation. It could therefore be tested by varying the distance between two simultaneous Bell experiments using existing photonic technology. Observation of such a signal would support a dynamical spacetime account of quantum entanglement and could have implications for quantum networks employing multiple independent entangled resources.

quant-pharXiv:2606.12457Jun 9, 20260 citations

Chapter 12. A Note on Entanglement

Dennis Morris

De Gruyter eBooksMay 27, 20160 citations

Dynamics of entanglement

Christian F. Roos

Nature PhysicsFeb 1, 20089 citations

(3,1)

-dimensional spacetime in a warped five-dimensional geometry containing an additional timelike coordinate. Within the adopted geometric ansatz, the form of the extended spacetime metric is determined by the five-dimensional vacuum Einstein equations. A massless field propagating through the resulting five-dimensional bulk can mediate correlations whose projection onto observable four-dimensional spacetime connects arbitrarily distant locations at equal laboratory time, while preserving operational no-signaling. Coupling this field to a Bohm--Bub-inspired collapse scheme provides a possible dynamical realization of entanglement correlations and, under a stated statistical consistency condition, reproduces Born statistics. The framework leads to a concrete experimental test. Two nominally independent Bell pairs are predicted to develop a weak, distance-dependent contextual correlation between particles belonging to different pairs, as a consequence of bulk-field mediation. This cross-pair correlation is absent in standard quantum mechanics for independently prepared systems and is predicted to decrease as the inverse square of their separation. It could therefore be tested by varying the distance between two simultaneous Bell experiments using existing photonic technology. Observation of such a signal would support a dynamical spacetime account of quantum entanglement and could have implications for quantum networks employing multiple independent entangled resources.