Becker–Blaschke problem of space

In a letter to Weyl, Becker proposed a new way to solve the problem of space in the relativistic context. This is the result of Becker׳s encounter with the two traditions of thinking about space: Husserlian transcendental phenomenology and Blaschke׳s equiaffine differential geometry. I reconstruct the mathematical content of the Becker–Blaschke solution to the problem of space and highlight the philosophical ideas that guide this construction. This permits me to underline some common properties of Riemannian and Minkowskian manifolds in terms of an unusual notion of isotropy. Finally, I will use this construction as a support to analyze several philosophical differences between Weyl׳s and Becker׳s proposals.     

Is there a space–time continuum in olfaction?

The coding of olfactory stimuli across a wide range of organisms may rely on fundamentally similar mechanisms in which a complement of specific odorant receptors on olfactory sensory neurons respond differentially to airborne chemicals to initiate the process by which specific odors are perceived. The question that we address in this review is the role of specific neurons in mediating this sensory system—an identity code—relative to the role that temporally specific responses across many neurons play in producing an olfactory perception—a temporal code. While information coded in specific neurons may be converted into a temporal code, it is also possible that temporal codes exist in the absence of response specificity for any particular neuron or subset of neurons. We review the data supporting these ideas, and we discuss the research perspectives that could help to reveal the mechanisms by which odorants become perceptions.     

Holographic space and time: Emergent in what sense?

This paper proposes a metaphysics for holographic duality. In addition to the AdS/CFT correspondence I also consider the dS/CFT conjecture of duality. Both involve non-perturbative string theory and both are exact dualities. But while the AdS/CFT keeps time at the margins of the story, the dS/CFT conjecture gives to time the “space” it deserves by presenting an interesting holographic model of it. My goals in this paper can be summarized in the following way. First, I argue that the formal structure and physical content of the duality do not support the standard philosophical reading of the relation in terms of grounding. Second, I put forward a philosophical scheme mainly extrapolated from the double aspect monism theory. I read holographic duality in this framework as it seems to fit the mathematical and physical structure of the duality smoothly. Inside this framework I propose a notion of spacetime emergence alternative to those ones commonly debated in the AdS/CFT physics and philosophy circles.     

Variations on a theme: Clifford’s parallelism in elliptic space

In 1873, W. K. Clifford introduced a notion of parallelism in the three-dimensional elliptic space that, quite surprisingly, exhibits almost all properties of Euclidean parallelism in ordinary space. The purpose of this paper is to describe the genesis of this notion in Clifford’s works and to provide a historical analysis of its reception in the investigations of F. Klein, L. Bianchi, G. Fubini, and E. Bortolotti. Special emphasis is placed upon the important role that Clifford’s parallelism played in the development of the theory of connections.     

J. Jeans’ idealism about space and its influences on E.A. Milne at the dawn of modern cosmology

This paper deals with two important English scientists of the first half of the twentieth century: Edward Arthur Milne and James Hopwood Jeans. It examines the philosophical reasons that, in 1932, induced Milne to devote himself to the newborn modern cosmology. Among those reasons, it is argued that the most important ones were some of Jeans’ philosophical statements regarding the new relativistic view of the expanding universe. In particular, Milne reacted to some confusing idealist opinions expressed by Jeans in the London newspaper The Times, in May 1932, in a debate on the expansion of the universe. Actually, as it will be shown, Jeans received many criticisms about the philosophical reasonings present in all of his popularizing works.