Matematicas

From Space and Time to a Deeper Reality
as a Possible Way to Solve Global Problems
Galina Korotkikh∗ and Victor Korotkikh†

arXiv:1105.0505v1 [physics.gen-ph] 3 May 2011

School of Information and Communication Technology
CQUniversity, Mackay
Queensland, 4740, Australia
To deal with global problems we suggest to consider complex systems not in space and time, but
in a possible deeperreality, i.e., the hierarchical network of prime integer relations. Encoded by
arithmetic through the self-organization processes the hierarchical network appears as the mathematical structure of one harmonious and interconnected whole. Remarkably, the holistic nature of
the hierarchical network allows to formulate a single universal objective of a complex system defined
in terms of theintegration principle. We propose that by the realization of the integration principle
the Earth system could be transformed to become an integrated part of a larger system with more
capacity and energy to sustain life. Significantly, based on integers and controlled by arithmetic
only the hierarchical network has a unique potential to provide an irreducible common ground fully
trusted by differentparties and helping to reveal a higher collective purpose.
PACS numbers: 89.75.-k, 89.75.Fb, 89.65.Gh

I.

INTRODUCTION

Paradoxically, in the world experiencing rapid progress
in science and technology the understanding of growing
problems is limited. They become numerous and affect
us all. For example, the recent financial crisis has sharply
revealed that the global financial system shaped andentangled into a complex entity lacks the clarity. Moreover,
the longtime debates on the climate change have not resulted in a comprehensive agreement. There is still no
common understanding of this complex problem, where
experimental evidence can convince different parties. Despite that, we can hope for a better future.
An approach aiming to provide a solution may lead
to an interestingspeculation. To be of practical interest it has to meet strong requirements. In particular,
the approach has to be able to explain the observed phenomena and at least be based on an irreducible foundation. Once the approach is in agreement with observation
and calls for a collective action to solve global problems,
the proposed action could be accepted and fully trusted
by different parties. Inthis context we suggest to consider complex systems not in space and time, but in a
possible deeper reality, i.e., the hierarchical network of
prime integer relations. Encoded by arithmetic through
the totality of the self-organization processes, the hierarchical network appears as the mathematical structure
of one harmonious and interconnected whole. Remarkably, based on integers only thehierarchical network can
secure the foundation and picture complex systems in
irreducible terms [1]-[5].
Moreover, the holistic nature of the hierarchical network allows to formulate a single universal objective of a

∗ Electronic
† Electronic

address: g.korotkikh@cqu.edu.au
address: v.korotkikh@cqu.edu.au

complex system defined in terms of the integration principle [6]-[8]. We suggest thatby the realization of the
integration principle the Earth system could be transformed to become an integrated part of a larger system
with more capacity and energy to sustain life. We also
discuss how the integration principle of the Earth system
could be effectively realized.

II. THE HIERARCHICAL NETWORK OF
PRIME INTEGER RELATIONS AS A POSSIBLE
DEEPER REALITY

To introduce thehierarchical network we present results based on the description of complex systems in
terms of self-organization processes of prime integer relations [1]-[5].
Rather than in space and time, the description suggests
to consider complex systems on a new stage, i.e., the hierarchical network of prime integer relations. The hierarchical network can be defined by two equivalent forms,
i.e., arithmetical...