Seeking out new approaches to modernist studies, ‘Binary Modernisms’ adopts the digital, both its and products, for critical investigation of Modernism. The following introduction briefly touches on cultural historical circumstances Modernism digital identifies their parallel impact art our engagement with it.

Attention has been brought to the possibility that statistical fluctuation properties of several complex spectra, or, well-known number sequences may display strong signatures that the Hamiltonian yielding them as eigenvalues is PT-symmetric (Pseudo-Hermitian). We find that the random matrix theory of pseudo-Hermitian Hamiltonians gives rise to new universalities of levelspacing distributions o...

It is shown that classical many-particle systems based on N=1 supersymmetry allow for observable consequences of the spin degrees of freedom. In contrast to the one-particle system, where a consistent formulation of spinspace density is impossible, the many-particle system allows for spin to enter into the equations of motion in a non-trivial way. This density can then be directly compared to t...

By far the most important class of pseudo-groups, for both theory and in essentially all applications, are the Lie pseudo-groups. In this paper, we propose a definition of the Lie completion of a regular pseudo-group, and establish some of its basic properties. In particular, a pseudo-group and its Lie completion have exactly the same differential invariants and invariant differential forms. Th...

We deene the notion of weak relative pseudo-complement, and we show that, for an arbitrary lattice, the property of weak relative pseudo-complementation is strictly weaker than relative pseudo-complementation, but stronger than pseudo-complementation. Our main interest for this notion is in relation with the theory of closure operators. We prove that if a complete lattice L is completely inf-di...

We discuss Coleman’s theorem asserting the absence of a spontaneously broken continuous symmetry and Goldstone bosons in the quantum field theory of a free massless (pseudo)scalar field in 1+1–dimensional space–time (Comm. Math. Phys. 31, 259 (1973)). We argue that Coleman’s theorem is very questionable from the point of view of a canonical quantum field theory. We show that the main signature ...