Are we all qubits at the bottom?

Pioneering works in the study of quantum information come from Claude Shannon and John Wheeler. In this article we reflect on quantum information scaling and dynamics of genotype information processing.

We have derived a quantum information theory for multidimensional information scaling. In our study, emergence of an equivocal interpretation of time and space derives from the quantum information scaling property. A holographic coding of genotype information quanta has been proposed. The evolving patterns of network dynamics are described by the scale-space wave information propagation.

The first sip from the glass of natural sciences will turn you into an atheist, but at the bottom of the glass God is waiting for you.

(Werner Heisenberg)

### "It from bit"

"Otherwise put, every it every particle, every field of force, even the spacetime continuum itself-derives its function, its meaning, its very existence entirely-even if in some contexts indirectly from the apparatus elicited answers to yes or no questions, binary choices, bits.

It from bit symbolizes the idea that every item of the physical world has at bottom-at a very deep bottom, in most instances an immaterial source and explanation, that what we call reality arises in the last analysis from the posing of yes-no questions and the registering of equipment-evoked responses; in short, that all things physical are information-theoretic in origin and this is a participatory universe."

(In his lecture on the nature of reality, John A. Wheeler^{1})

### Transformative nature of the information flow

Elucidating the nature of time and space has been an open research area in physics since the introduction of Quantum Mechanics and General Relativity. A common perception of time and space comes from difficulties in perceiving the transformative nature of evolving patterns via coordinate transformations.

Evolution of dynamical processes in 4D space-time, have been shown to lead to a static description of the Universe. In mathematics, a proof of the Poincare conjecture in 4D supports this view.

### Mathematics and physics of stochastic resonance synergies

The underlying dynamics of scale-space wave information propagation and quantum tunneling have been derived^{2-4}. A multidimensional scaling property of the atomic structure has been derived. 5D decomposition in binding information quanta in multiple scales have been shown, and the analysis of various networked complex systems in physics and neuroscience have been discussed.

This research describes complex systems dynamics based on coupled scale-space wave information propagation and tunneling. It makes a bridge to the mathematical foundation of quantum field theory.

We have extended consideration of bipartite correlations to quadrupoles of information carriers, connecting two distinct scale-spaces. In our view, this approach shows a new way of looking at things in physics and neuroscience^{5}.

### Concluding remarks

More than a century ago Niles Bohr exclaimed in amazement: "If quantum mechanics hasn't profoundly shocked you, you haven't understood it yet". The wonders of quantum physics continue to inspire scientists since its foundation. In various scientific fields, generating new technologies and applications.

In addition to theoretical work in mathematical physics, our current research interests include neural data science and quantum computing.

#### References

^{1} Proceedings of the 3rd International Symposium on Foundation of Quantum Mechanics in the Light of New Technology, Physical Society of Japan, 1990.

^{2} Jovovic, M., and G. Fox, Multi-dimensional data scaling – dynamical cascade approach, Indiana University, 2007.

^{3} Jovovic, M., Stochastic Resonance Synergetics – Quantum Information Theory for Multidimensional Scaling, Journal of Quantum Information Science, 5/2:47-57, 2015.

^{4} Jovovic, M., H. Yahia, and I. Herlin, Hierarchical scale decomposition of images – singular features analysis, INRIA, 2003.

^{5} Jovovic, M., Multidimensional Information Scaling: Manifestation of the Mind-Body Connection, EC Neurology 13.11: 26-28, 2021.