Gravitational self-localization for spherical masses

In this work, I consider the center-of-mass wave function for a homogenous sphere under the influence of the self-interaction due to Newtonian gravity. I solve for the ground state numerically and calculate the average radius as a measure of its size. For small masses, M≲10−17 kg, the radial size is independent of density, and the ground state extends beyond the extent of the sphere. For masses larger than this, the ground state is contained within the sphere and to a good approximation given by the solution for an effective radial harmonic-oscillator potential. This work thus determines the limits of applicability of the point-mass Newton Schrödinger equations for spherical masses. In addition, I calculate the fringe visibility for matter-wave interferometry and find that in the low-mass case, interferometry can in principle be performed, whereas for the latter case, it becomes impossible. Based on this, I discuss this transition as a possible boundary for the quantum-classical crossover, independent of the usually evoked environmental decoherence. The two regimes meet at sphere sizes R≈10−7 m, and the density of the material causes only minor variations in this value.

Materialising bodies : there is nothing more material than a socially constructed body.

Over the last one of two decades, researchers within the physical education (PE) and sport pedagogy research frequently use the concept ‘the material body’. An initial purpose of this article is to explore what a concept of a ‘material body’ might mean. What other bodies are there? Who would dispute the materiality of bodies? I suggest that the use of a concept as ‘the material body’ suggests a hesitation before the radicalism of the linguistic turn in the sense that the concept ‘discourse’ does not include a material dimension. In this way ‘the material body’ relates to an interpretation of ‘the socially (or discursively) constructed body’ as void of matter. A further purpose with the article is to re-inscribe matter in the concept of ‘discourse’. This is done by way of discussing what theorists like Michel Foucault and, in particular, Judith Butler, has to say about the materiality of the body. In their writings, discourse should not be limited to spoken and/or written language. Rather, discourse is understood in terms of actions and events that create meanings—that matters. One conclusion of the article is that it is important to problematise the mundane view of discourse as ‘verbal interchange’ because it reinforces the promise of an objective knowledge that will eventually shed light on the ‘real’ body and the mysteries of sexual difference, what its origins are, what causes it. Another conclusion is that the PE and sport pedagogy research should pay less attention to the body as an object (what it ‘is’), and pay more attention to how the body matters, and e.g. how movements make bodies matter.