The paper makes a case for there being causation in the form of causal properties or causal structures in the domain of fundamental physics. That case is built in the first place on an interpretation of quantum theory in terms of state reductions so that there really are both entangled states and classical properties, GRW being the most elaborate physical proposal for such an interpretation. I ...

MIRKA (2009) HAS RECENTLY ARGUED THAT THE 18th-century metrical theories of Heinrich Christoph Koch can be revelatory for a reconstruction of contemporary ways of hearing Viennese high classicism. Koch’s claims revolve around interactions between the metrical placement of cadences and the articulation of specific beat levels, and these claims are most specific and testable for common time and 6...

By recasting metrical geometry in a purely algebraic setting, both Euclidean and non-Euclidean geometries can be studied over a general field with an arbitrary quadratic form. Both an affine and a projective version of this new theory are introduced here, and the main formulas extend those of rational trigonometry in the plane. This gives a unified, computational model of both spherical and hyp...

In this paper we provide an analysis of the location of main stress in Pirah~a, from the perspective of Optimality Theory (OT) (Prince and Smolensky 1993, McCarthy and Prince 1993a,b). The three-syllable window for possible stress placement, coupled with quantity-sensitivity and default nality have to our knowledge de ed convincing explanation within current phonological theory. We will show th...

The metrical theory of Diophantine approximation for quaternions is developed using recent results in the general theory. In particular, Quaternionic analogues of the classical theorems of Khintchine, Jarnı́k and Jarnı́k-Besicovitch are established. Introduction Diophantine approximation begins with a more quantitative understanding of the density of the rationals Q in the reals R. The starting p...

Complexity theory, being the metrical version of decision theory, has long been suspected of harboring undecidable statements among its most prominent conjectures. Taking this possibility seriously, we add one such conjecture, P 6= NP , as a new “axiom” and find that it has an implication in 3-dimensional topology. This is reminiscent of Harvey Friedman’s work on finitistic interpretations of l...

We study how primary tactile afferents encode relevant contact features to mediate early processing of haptic information. In this paper, we apply metrical information theory to perform temporal decoding of human microneurography data. First, we enrich the theory by deriving a novel spike train metrics inspired by neuronal computation. This spike train metrics can be interpreted biologically an...