Informational Entropy as a Source of Life’s Origin

Maximizable informational entropy as measure of probabilistic uncertainty

In this work, we consider a recently proposed entropy I (called varentropy) defined by a variational relationship ) ( dx x d dI − = β as a measure of uncertainty of random variable x. By definition, varentropy underlies a generalized virtual work principle 0 = dx leading to maximum entropy 0 ) ( = − x I d β . This paper presents an analytical investigation of this maximizable entropy for severa...

Informational entropy of Fourier maps.

An analysis on what is known as the interpretation of Fourier maps has been done from the information theory point of view: determining the nature of the peaks in the map (in order to assign them a suitable scattering factor) and allocating bonds between some of the possible peak pairs. Before interpreting the map, a quantitatively measurable entropy (uncertainty, unknowingness) relating to the...

Informational Entropy of Fractal River Networks

Entanglement as a source of black hole entropy

We review aspects of black hole thermodynamics, and show how entanglement of a quantum field between the inside and outside of a horizon can account for the areaproportionality of black hole entropy, provided the field is in its ground state. We show that the result continues to hold for Coherent States and Squeezed States, while for Excited States, the entropy scales as a power of area less th...

Informational Entropy of B-ary Trees after a Vertex Cut

Together with stars and paths, b-ary trees are one of the most studied acyclic graph structures. As any other structure, a b-ary tree can be seen as containing information. The aim of the present research was to assess through informational entropy the structural information changes in b-ary trees after removal of an arbitrary vertex.