Emergent quantum mechanics of the event-universe, quantization of events via Denrographic Hologram Theory

• URL: http://arxiv.org/abs/2208.01931v4
• Date: Tue, 6 Dec 2022 09:06:17 GMT
• Title: Emergent quantum mechanics of the event-universe, quantization of events via Denrographic Hologram Theory
• Authors: Oded Shor, Felix Benninger, and Andrei Khrennikov
• Abstract summary: Quantum mechanics is derived on the basis of a universe composed solely of events. The present paper is devoted to the emergence of QM from the Dendrographic Hologram Theory.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum mechanics (QM) is derived on the basis of a universe composed solely of events, for example, outcomes of observables. Such an event universe is represented by a dendrogram (a finite tree) and in the limit of infinitely many events by the p-adic tree. The trees are endowed with an ultrametric expressing hierarchical relationships between events. All events are coupled through the tree structure. Such a holistic picture of event-processes was formalized within the Dendrographic Hologram Theory (DHT). The present paper is devoted to the emergence of QM from DHT. We used the generalization of the QM-emergence scheme developed by Smolin. Following this scheme, we did not quantize events but rather the differences between them and through analytic derivation arrived at Bohmian mechanics. Previously, we were able to embed the basic elements of general relativity (GR) into DHT, and now after Smolin-like quantization of DHT, we can take a step toward quantization of GR. Finally, we remark that DHT is nonlocal in the treelike geometry, but this nonlocality refers to relational nonlocality in the space of events and not Einstein's spatial nonlocality.

Related papers

• Geometric monotones of violations of quantum realism [89.99666725996975]
  Quantum realism states that projective measurements in quantum systems establish the reality of physical properties, even in the absence of a revealed outcome. This framework provides a nuanced perspective on the distinction between classical and quantum notions of realism, emphasizing the contextuality and complementarity inherent to quantum systems. We derive geometric monotones of quantum realism using trace distance, Hilbert-Schmidt distance, Schatten $p$-distances, Bures, and Hellinger distances.
  arXiv  Detail & Related papers  (2024-12-16T10:22:28Z)
• Quantifying non-Hermiticity using single- and many-particle quantum properties [14.37149160708975]
  The non-Hermitian paradigm of quantum systems displays salient features drastically different from Hermitian counterparts. We propose a formalism that quantifies the (dis-)similarity of these right and left ensembles, for single- as well as many-particle quantum properties. Our findings can be instrumental in unveiling new exotic quantum phases of non-Hermitian quantum many-body systems.
  arXiv  Detail & Related papers  (2024-06-19T13:04:47Z)
• Generalized quantum measurement in spin-correlated hyperon-antihyperon decays [11.594851987280764]
  We introduce a generalized quantum measurement description for decay processes of spin-1/2 hyperons. We validate this approach by aligning it with established theoretical calculations. We employ quantum simulation to observe the violation of CHSH inequalities in hyperon decays.
  arXiv  Detail & Related papers  (2024-02-26T13:54:20Z)
• Are All Events Created At-Once in Relational Quantum Mechanics? [0.0]
  The paper critically examines claims by Adlam and Rovelli that the events in RQM must have been created all-at-once in order to avoid a contradiction with the theory of relativity. The analysis demonstrates that not considering the set of events as absolute and observer-independent allows for their temporal generation.
  arXiv  Detail & Related papers  (2023-11-30T10:17:58Z)
• Unification of the MWI formalism and Bohmian mechanics for the ensembles of event universes in Minkowski-like space [0.0]
  Dendrogramic Holographic Theory (DHT) is based on the representation of observed events by dendrograms (finite trees) presenting observers subjective image of universe. We consider an ensemble of observers performing observations on each other and representing them by p-adic trees. In such observers universe we introduce a kind of Minkowski space structure, which is statistical by its nature.
  arXiv  Detail & Related papers  (2023-09-28T18:54:52Z)
• Symmetry Resolved Entanglement of Excited States in Quantum Field Theory II: Numerics, Interacting Theories and Higher Dimensions [0.0]
  We study the entanglement content of zero-density excited states in complex free quantum field theories. By zero-density states we mean states consisting of a fixed, finite number of excitations above the ground state. We show that the ratio of Fourier-transforms of the SREEs takes a very simple and universal form for these states.
  arXiv  Detail & Related papers  (2022-06-24T11:47:09Z)
• Geometric Event-Based Relativistic Quantum Mechanics [8.057006406834466]
  We propose a special relativistic framework for quantum mechanics. It is based on introducing a Hilbert space for events. Our theory satisfies the full Poincare' symmetry as a geometric' unitary transformation.
  arXiv  Detail & Related papers  (2022-06-16T17:58:09Z)
• Cone-Restricted Information Theory [4.358456799125693]
  We show which results in quantum information theory rely upon the positive semidefinite cone and which can be generalized. We present parallel results for the extended conditional min-entropy. In doing so, we extend the notion of k-superpositive channels to superchannels.
  arXiv  Detail & Related papers  (2022-06-09T06:27:48Z)
• Correspondence Between the Energy Equipartition Theorem in Classical Mechanics and its Phase-Space Formulation in Quantum Mechanics [62.997667081978825]
  In quantum mechanics, the energy per degree of freedom is not equally distributed. We show that in the high-temperature regime, the classical result is recovered.
  arXiv  Detail & Related papers  (2022-05-24T20:51:03Z)
• Entropy decay for Davies semigroups of a one dimensional quantum lattice [13.349045680843885]
  We show that the relative entropy between any evolved state and the equilibrium Gibbs state contracts exponentially fast with an exponent that scales logarithmically with the length of the chain. This has wide-ranging applications to the study of many-body in and out-of-equilibrium quantum systems.
  arXiv  Detail & Related papers  (2021-12-01T16:15:58Z)
• Topological Quantum Gravity of the Ricci Flow [62.997667081978825]
  We present a family of topological quantum gravity theories associated with the geometric theory of the Ricci flow. First, we use BRST quantization to construct a "primitive" topological Lifshitz-type theory for only the spatial metric. We extend the primitive theory by gauging foliation-preserving spacetime symmetries.
  arXiv  Detail & Related papers  (2020-10-29T06:15:30Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.