1,294 research outputs found
Between a Stone and a Hausdorff Space
We consider the duality between General Relativity and the theory of Einstein
algebras, in the extended setting where one permits non-Hausdorff manifolds. We
show that the duality breaks down, and then go on to discuss a sense in which
general relativity, formulated using non-Hausdorff manifolds, exhibits excess
structure when compared to Einstein algebras. We discuss how these results bear
on a class of algebraically-motivated deflationist views about spacetime
ontology. We conclude with a conjecture concerning non-Hausdorff spacetimes
with no bifurcate curves.Comment: 24 pages, including appendix; 1 table. Forthcoming in the British
Journal for Philosophy of Scienc
Pricing of Short Circuit Current in High IBR-Penetrated System
With the growing penetration of Inverter-Based Resources (IBRs) in power
systems, stability service markets have emerged to incentivize technologies
that ensure power system stability and reliability. Among the various
challenges faced in power system operation and stability, a prominent issue
raised from the increasing integration of large-scale IBRs is the significant
reduction of the Short-Circuit Current (SCC) level in the system, which poses a
considerable threat to system voltage stability and protection. Thus, a proper
market mechanism to incentivize the provision of SCC as a stability service is
desired. However, the pricing of this service within the future stability
market has not yet been fully developed, due to the nonconvex nature of SCC
constraints and the locational property of SCC. To address these problems, this
work aims to explore, for the first time, a pricing model for SCC service by
incorporating a linearized SCC constraint into the Unit Commitment (UC)
problem, to achieve the desired SCC level and extract the shadow price for SCC
through different pricing methods
Explaining Universality: Infinite Limit Systems in the Renormalization Group Method
I analyze the role of infinite idealizations used in the renormalization group (RG hereafter) method in explaining universality across microscopically different physical systems in critical phenomena. I argue that despite the reference to infinite limit systems such as systems with infinite correlation lengths during the RG process, the key to explaining universality in critical phenomena need not involve infinite limit systems. I develop my argument by introducing what I regard as the explanatorily relevant property in RG explanations: linearization* property; I then motivate and prove a proposition about the linearization* property in support of my view. As a result, infinite limit systems in RG explanations are dispensable
Better than Best: Epistemic Landscapes and Diversity of Practice in Science
When solving a complex problem in a group, should group members always choose the best available solution that they are aware of? In this paper, I build simulation models to show that, perhaps surprisingly, a group of agents who individually randomly follow a better available solution than their own can end up outperforming a group of agents who individually always follow the best available solution. This result has implications for the feminist philosophy of science and social epistemology
Epistemic Advantage on the Margin: A Network Standpoint Epistemology
I use network models to simulate social learning situations in which the dominant group ignores or devalues testimony from the marginalized group. I find that the marginalized group ends up with several epistemic advantages due to testimonial ignoration and devaluation. The results provide one possible explanation for a key claim of standpoint epistemology, the inversion thesis, by casting it as a consequence of another key claim of the theory, the unidirectional failure of testimonial reciprocity. Moreover, the results complicate the understanding and application of previously discovered network epistemology effects, notably the Zollman effect (2007, 2010)
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