Twistor bundle theory and its application

2004 ◽  
Vol 47 (4) ◽  
pp. 605 ◽  
Author(s):  
Chia-Kuei PENG
Keyword(s):  
Bundle Theory ◽  
Twistor Bundle

scholarly journals The Bundle Theory Approach to Relational Quantum Mechanics

2021 ◽  
Vol 51 (1) ◽  
Author(s):  
Andrea Oldofredi
Keyword(s):  
Quantum Mechanics ◽  
David Hume ◽  
Structural Realism ◽  
Bundle Theory ◽  
Theory Approach ◽  
Relational Quantum Mechanics ◽  
Essential Idea ◽  
Mereological Fusion ◽  
Metaphysical Interpretation ◽  
Aristotelian Tradition

AbstractThe present essay provides a new metaphysical interpretation of Relational Quantum Mechanics (RQM) in terms of mereological bundle theory. The essential idea is to claim that a physical system in RQM can be defined as a mereological fusion of properties whose values may vary for different observers. Abandoning the Aristotelian tradition centered on the notion of substance, I claim that RQM embraces an ontology of properties that finds its roots in the heritage of David Hume. To this regard, defining what kind of concrete physical objects populate the world according to RQM, I argue that this theoretical framework can be made compatible with (i) a property-oriented ontology, in which the notion of object can be easily defined, and (ii) moderate structural realism, a philosophical position where relations and relata are both fundamental. Finally, I conclude that under this reading relational quantum mechanics should be included among the full-fledged realist interpretations of quantum theory.

scholarly journals Two-Categorical Bundles and their Classifying Spaces

2012 ◽  
Vol 10 (2) ◽  
pp. 299-369 ◽  
Author(s):  
Nils A. Baas ◽  
Marcel Bökstedt ◽  
Tore August Kro
Keyword(s):  
Vector Bundle ◽  
Vector Bundles ◽  
Vector Spaces ◽  
Bundle Theory ◽  
Classifying Spaces ◽  
Classifying Space ◽  
Principal Bundles

AbstractFor a 2-category 2C we associate a notion of a principal 2C-bundle. For the 2-category of 2-vector spaces, in the sense of M.M. Kapranov and V.A. Voevodsky, this gives the 2-vector bundles of N.A. Baas, B.I. Dundas and J. Rognes. Our main result says that the geometric nerve of a good 2-category is a classifying space for the associated principal 2-bundles. In the process of proving this we develop powerful machinery which may be useful in further studies of 2-categorical topology. As a corollary we get a new proof of the classification of principal bundles. Another 2-category of 2-vector spaces has been proposed by J.C. Baez and A.S. Crans. A calculation using our main theorem shows that in this case the theory of principal 2-bundles splits, up to concordance, as two copies of ordinary vector bundle theory. When 2C is a cobordism type 2-category we get a new notion of cobordism-bundles which turns out to be classified by the Madsen–Weiss spaces.

scholarly journals Is Hume Attempting to Introduce a New, Pragmatic Conception of a Contradiction in his Treatise?

2017 ◽  
Vol 20 (3) ◽  
pp. 315
Author(s):  
Alan Kenneth Schwerin
Keyword(s):  
Experimental Philosophy ◽  
Significant Contribution ◽  
The Self ◽  
Bundle Theory ◽  
The Enlightenment ◽  
Critical Exploration

http://dx.doi.org/10.5007/1808-1711.2016v20n3p315Hume’s Treatise, with its celebrated bundle theory of the self, is a significant contribution to the embryonic Newtonian experimental philosophy of the enlightenment. But the theory is inadequate as it stands, as the appendix to the Treatise makes clear. For this account of the self, apparently, rests on contradictory principles — propositions, fortunately, that can be reconciled, according to Hume. My paper is a critical exploration of Hume’s argument for this intriguing suggestion.

scholarly journals Gradient Legal Personhood for AI Systems—Painting Continental Legal Shapes Made to Fit Analytical Molds

2022 ◽  
Vol 8 ◽  
Author(s):  
Diana Mădălina Mocanu
Keyword(s):  
Paradigm Shift ◽  
Legal Status ◽  
Civil Law ◽  
Bundle Theory ◽  
Gradient Theory ◽  
Legal Capacity ◽  
Legal Personhood ◽  
The Status ◽  
Theory Framework ◽  
Theory Paradigm

What I propose in the present article are some theoretical adjustments for a more coherent answer to the legal “status question” of artificial intelligence (AI) systems. I arrive at those by using the new “bundle theory” of legal personhood, together with its accompanying conceptual and methodological apparatus as a lens through which to look at a recent such answer inspired from German civil law and named Teilrechtsfähigkeit or partial legal capacity. I argue that partial legal capacity is a possible solution to the status question only if we understand legal personhood according to this new theory. Conversely, I argue that if indeed Teilrechtsfähigkeit lends itself to being applied to AI systems, then such flexibility further confirms the bundle theory paradigm shift. I then go on to further analyze and exploit the particularities of Teilrechtsfähigkeit to inform a reflection on the appropriate conceptual shape of legal personhood and suggest a slightly different answer from the bundle theory framework in what I term a “gradient theory” of legal personhood.

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