The concept of zero was born in Mesopotamia and its symbolic meaning by and large given in ancient India. It gave birth to its mirror image, infinity, in ancient Greece. These coupled concepts of our existence continue to inspire human thoughts with expressions given in various forms in art, science, and philosophy.
Hundred years ago Walther Nernst was awarded the Nobel prize for his heat theorem. That led Max Planck to formulate the third law of thermodynamics, stating any closed system entropy tends to zero as the temperature approaches absolute zero. Albert Einstein considered thermodynamics the only true science, at that time. Different interpretations of this statement led physicists to ponder the fate of the Universe.
Elucidating the nature of time and space in physics has been an open research area since the introduction of Quantum Mechanics and General Relativity. Sticking to a space-time coordinate frame, however, has been shown to lead to a description of a static Universe. In mathematics, Gregory Perelman's proof of the 3-manifold Poincare Conjure supports this view. Missing dynamics of evolution processes, an illusion in a common perception of time and space comes from difficulties in perceiving the transformative nature of evolving patterns via coordinate transformations.
What is Life?, is a popular essay written by Erwin Schrodinger that introduces the concept of negative entropy. It has been acknowledged by the biologists Francis Crick and James Watson in their foundation work on building blocks of life, DNA.
An information theory approach is used in our study of the dynamics of genotype information processing. We derive dynamics of two 2-dimensional scale-waves bonding along the scale manifold. The expression of the information bonding is given with the field equation, in.2,3
The information patterns are evaluated at the equilibrium points of the free energy F, by computing its first and second-order approximations. The evolution of the patterns in a dynamical Universe gives the simplest solution in the 5-dimensional space. It generalizes a multidimensional matrix formulation of the uncertainty of information, across the scales.
We have introduced a theoretical formulation of the scale-space tunneling in 4. The information tunneling is described by the up and down scale waves coupling. It has been also shown that this synergy exchange via tunneling is not instantaneous but instead a multidimensional scale-waves information propagation.
Large-scale networked structures are usually considered methodologically separate from the smallest because of negligible effects it has on its behavior.
On a larger scale, information tunneling is an active area of research. Interpreting how black holes store and exchange information, for example, is expected to bring us closer to an answer, as well as to some other questions.
On a smaller scale, we have shown, in 1, that the scale dimension limits asymptotic freedom of information at the singular point, β = 0.
The pioneering work of Emmy Noether, in mathematics, considers symmetries of conserved properties. It appears to move the role of an observer from a quantum to our everyday experience, as well. Mirroring a holographic representation of the world that we experience and act upon, in our view.
Why there is “something” instead of “nothing”? Just as one of the puzzling asymmetries that we observe.
1 Jovovic, M., Stochastic Resonance Synergetics – Quantum Information Theory for Multidimensional Scaling, Journal of Quantum Information Science, 5/2:47-57, 2015.
2 Jovovic, M., and G. Fox, Multi-dimensional data scaling – dynamical cascade approach, Indiana University, 2007.
3 Jovovic, M., H. Yahia, and I. Herlin, Hierarchical scale decomposition of images – singular features analysis, INRIA, 2003.
4 Jovovic, M., Hierarchical scale quantization and coding of motion information in image sequences, Informacione Tehnologije VI, Zabljak, Montenegro, 2002.