An n-dimensional chair consists of an n-dimensional box from which a smaller n-dimensional box is removed. A tiling of an n-dimensional chair has two nice applications in some memories using asymmetric codes. The first one is in the design of codes which correct asymmetric errors with limited-magnitude. The second one is in the design of n cells q-ary write-once memory codes. We show an equival...

We propose a tamper-evident storage system based on probe storage with a patterned magnetic medium. This medium supports normal read/write operations by outof-plane magnetisation of individual magnetic dots. We report on measurements showing that in principle the medium also supports a separate class of write-once operation that destroys the out-of-plane magnetisation property of the dots irrev...

In this chapter, we show how the questions of what is computable and what is feasibly computable can be viewed from the viewpoint of physics: what is computable within the current physics? what is computable if we assume – as many physicists do – that no final physical theory is possible? what is computable if we consider data processing, i.e., computations based on physical inputs? Our physics...

Two results support the idea that the scalar and vector potentials in the Lorenz gauge can be considered to be physical quantities: (i) they separately satisfy the properties of causality and propagation at the speed of light and do not imply spurious terms and (ii) they can naturally be written in a manifestly covariant form. In this paper we introduce expressions for the Lorenz-gauge potentia...

We propose a definition of physical objects that aims to clarify some interpretational problems in quantum mechanics. We claim that the transformations induced by an objective property of a physical system must leave invariant all the other objective properties of the same system. The uncertainty principle is understood as a natural consequence of the imbrication between objective properties an...