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This study delves into the validity of quantum mechanical operators in the context of quantum gravity, recognizing the potential need for their generalization. A primary objective is to investigate the repercussions of these generalizations on the inherent nonlocality within quantum mechanics, as exemplified by Bell’s inequality. Additionally, the study scrutinizes the consequences of introducing a nonzero minimal length into the established framework of Bell’s inequality. The findings contribute significantly to our theoretical comprehension of the intricate interplay between quantum mechanics and gravity. Moreover, this research explores the impact of quantum gravity on Bell’s inequality and its practical applications within quantum technologies, notably in the realms of device-independent protocols, quantum key distribution, and quantum randomness generation.
In this paper we propose an interesting scheme for quantum games. It is found that, for the particular case of the famous Prisoners' Dilemma game, the superiority of the quantum game over its classical counterpart is interconnected to the non-classical quantum correlation between the two players.
Entangled EPR spin pairs can be treated using the statistical ensemble interpretation of quantum mechanics. As such the singlet state results from an ensemble of spin pairs each with its own specific axis of quantization. This axis acts like a quantum mechanical hidden variable. If the spins lose coherence they disentangle into a mixed state that contains classical correlations. In this paper an infinitesimal phase decoherence is introduced to the singlet state in order to reveal more clearly some of the correlations. It is shown that a singlet state has no classical correlations.
The concepts of randomness and non-locality are intimately intertwined outcomes of randomly chosen measurements over entangled systems exhibiting non-local correlations are, if we preclude instantaneous influence between distant measurement choices and outcomes, random. In this paper, we survey some recent advances in the knowledge of the interplay between these two important notions from a quantum information science perspective.
We experimentally study the violation of the CGLMP inequality for entangled 2-qubit and 2-qutrit states with different degrees of entanglement using numerically optimized measurement settings. The qudits are encoded and manipulated in the frequency spectrum of broadband energy-time entangled photons by taking into account a spatial light modulator (SLM). The latter allows to discretize the spectrum into bins. By controlling each frequency bin individually, the generation of maximally and non-maximally entangled qutrits is verified through quantum state tomography (QST).
We introduce the Relational Blockworld (RBW) as a paradigm for deflating the mysteries associated with quantum non-separability/non-locality and the measurement problem. We begin by describing how the relativity of simultaneity implies the blockworld, which has an explanatory potential subsuming both dynamical and relational explanations. It is then shown how the canonical commutation relations fundamental to non-relativistic quantum mechanics follow from the relativity of simultaneity. Therefore, quantum mechanics has at its disposal the full explanatory power of the blockworld. Quantum mechanics exploits this expanded explanatory capability since event distributions among detectors per the density matrix follow from spacetime relations (symmetry group) alone. Thus, the event distributions of non-relativistic quantum mechanics follow from a blockworld wherein spacetime relations are fundamental. Per RBW “quantum mysteries” are deflated and the implications for consciousness and the perception of temporal flow and absolute becoming are explored. We conclude that given RBW, consciousness is no less fundamental than any “physical” feature of the world such as brain states. Further, active consciousness is needed to explain the illusion that it is a dynamical world and consciousness in its most fundamental state is relational and non-local.
The chapter concludes the book by illustrating the potential of extending the boundaries of the intelligence mindset and its space of innovation and creativity. Some theories that could be integrated subsequently are mentioned briefly. In addition, a holistic view (new knowledge creation) of the intelligence paradigm, the complexity-intelligence strategy, and the intelligent organization theory is summarized through recollecting and amalgamating the various normative attributes, concepts, perspectives and strategies analyzed. Organizing around intelligence (including intelligence/consciousness management, complexity management and network management), and the integrated deliberate and emergent strategy (exploitation of the co-existence of order and complexity) are the (holistic) fundamental strategies that must be exploited in the present environment. Due to the current high complexity and nonlinearity, this paradigmatic shift is apparently beneficial. As indicated earlier, properties of complex adaptive systems and the complex adaptive dynamic must be better comprehended and exploited by all human organizations to elevate competitiveness, resilience and sustainability.
In summary, the intelligent organization theory introduced in this book contains concepts and ideas (including intelligence/consciousness-centricity, complexity-centricity, network-centricity, intelligence-intelligence linkage, complexity-intelligence linkage, self-organizing capacity, emergence-intelligence capacity, coherency, synergy, constructionist effect and mental cohesion) that are more holistic, integrative, and accurate manifestations of humanity and its organizations and agents. Thus, it is highly critical for the leadership, governance, strategy, and management in rapidly changing environment. Primarily, it is a new significant complexity-intelligence-relational/network domain (a more inherent aspect of nature and this universe) that must be better comprehended and exploited by all human organizations. As indicated, the complexity-intelligence strategy of the intelligent organization theory encompasses numerous components, including organizing around intelligence, integrated deliberate and emergent strategy, general information theory, 3C-OK framework, intelligent person model, intelligent multi-layer structure model, intelligence leadership theory/strategy, intelligence governance theory/strategy, and relativistic complexity.
Fundamentally, the new thinking emphasizes the significance and linkages of the human intelligence/consciousness sources, and stabilitycentricity at all levels (agent-centric, network-centric and org-centric), co-existence of order and complexity, and the attributes of swift information decoders, smarter evolvers and emergent strategists. The strategies and models/frameworks of the intelligent organization theory that focus on structuring, nurturing, leading, and governing/managing of highly intelligent human organizations (iCAS) that are orchestrated by the highly intelligent complex adaptive dynamic (iCAD) are briefly recaptured. Ultimately, it is the intention of the author that an omniscient understanding of this book will instill in leaders and actors the new critical intelligence advantage.