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Sustainability Science

Quantum theory as a source of insights to close the gap between Mode 1 and Mode 2 transdisciplinarity: potentialities, pitfalls and a possible way forward

Cyrille Rigolot

Published Aug 29, 2019• 15 citations
Publisher
DOI
10.1007/s11625-019-00730-8

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This paper proposes an secure transmit power allocation (STPA) scheme for a two-way denoise-and-forward (DNF) relaying network with the aim of maximizing the secrecy sum rate of the network. Here, the DNF relay could act not only as a forwarder but also a potential eavesdropper, i.e., an untrusted relay. First, the secure-rate-region of the two sources that their messages can be strictly kept secret is derived from an information theory point of view. On this basis, an optimal power allocation problem subject to an individual peak-power limit is studied, giving closed-form expressions of the individual transmit powers than can maximize the network secrecy sum rate. Computer simulation results show that compared with the conventional equal-power allocation scheme, the proposed STPA scheme is capable of enhancing the secrecy sum rate and reducing the intercept probability simultaneously.

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Transdisciplinarity is increasingly seen as a promising paradigm for strong sustainability. Following a common typology, two "Modes" of transdisciplinary can be distinguished: A theoretical "Mode 1", largely inspired by quantum theory, and a practical "Mode 2" transdisciplinarity involving multi-stakeholder's approaches. So far, Mode 1 and 2 have been developed independently. In this communication, I discuss the potential of using insights from quantum theory to foster deep transformations toward strong sustainability, by closing this gap between Mode 1 and 2. As a first example, I show how a generalization of the quantum complementarity principle to sustainability assessment can be used to better address two major issues (integration and implementation). Then, I explore how quantum insights suggest powerful sustainable pathways, by shedding light on subjectivity, the possibility of free-will and the "co-arising" of personal and systemic change. Finally, a general strategy is proposed, that combine robust quantum methodological insights with a careful exploration of ontological insights.
A gauge-symmetry-breaking parameter associated with the fluctuation of the zero-mode particles renders a source term to the continuity equation of interacting Bose systems. As a consequence, additional terms appear in the generalized Ward identities, which modify in an essential way the relation between the superfluid and condensate densities. An energy gap results as a function of the symmetry-breaking parameter and interatomic potential. The general results are worked out in the shielded potential approximation, and an equation for the condensate fraction n0{n}_{0}n0​(T) is obtained in closed form. At absolute zero the condensate fractions in dilute Bose systems and superfluid 4He^{4}\mathrm{He}4He are found to be n0{n}_{0}n0​=0.438 and n0{n}_{0}n0​=0.126, respectively.
This paper proposes an secure transmit power allocation (STPA) scheme for a two-way denoise-and-forward (DNF) relaying network with the aim of maximizing the secrecy sum rate of the network. Here, the DNF relay could act not only as a forwarder but also a potential eavesdropper, i.e., an untrusted relay. First, the secure-rate-region of the two sources that their messages can be strictly kept secret is derived from an information theory point of view. On this basis, an optimal power allocation problem subject to an individual peak-power limit is studied, giving closed-form expressions of the individual transmit powers than can maximize the network secrecy sum rate. Computer simulation results show that compared with the conventional equal-power allocation scheme, the proposed STPA scheme is capable of enhancing the secrecy sum rate and reducing the intercept probability simultaneously.