<p><span>The Gaia hypothesis as an ecological hypothesis is proposing that the biosphere and the physical components of the Earth (atmosphere, cryosphere, hydrosphere and lithosphere) are closely integrated to form a complex interacting system that maintains the climatic and biogeochemical conditions on Earth in a preferred homeostasis. Although successful within the current scientific paradigm the explanation of &#8222;planetary sentience, or sensitivity&#8220; becomes extremely difficult. As Hegel said, pure truth about nature is only perceivable by a poetic method.</span></p><p><span>Therefor we are proclaiming Gaia, the Earth as a female artist -- as advocated by 16th century scholar Giordano Bruno. This would imply to include such nonscientific categories as beauty, creativity and cosmic consciousness. Hence a unified Gaia theory would require a new scientific paradigm.</span></p><p><span>Based on a previously proposed higher dimensional spacial model&#160; (Gaia 5.0) as &#8222;pattern that connects&#8220; that explains the Earth&#8217; intrinsic dynamics we aim to extend<span>&#160; </span>our concept to the question of cognition and planetary sentience, or sensitivity.&#160;</span></p><p><span>Hence we claim that&#160; Gaia theory needs an extension of categories in order to understand the full scope of this spectacular place of livelihood and beauty. </span></p><p><span>Therefor we examine he prevalent relational biology that tries to overcome Newtonian point mechanics by relying on Aristotle&#8217;s &#8222;formal causes&#8220; of the autopoietic organization and (M,R)-system as conceptualized by R. Rosen who refers to a mathematical structure, e.g. mapping of functions. Distinct to differential geometry we suggest as previously introduced higher dimensional geometrical framework (Gaia 5.0) a hyper-Euclidean geometry that allows to understand complex systems based on group theory providing all kinds of symmetries in nature based on a spacial continuum. </span></p><p><span>As a consequence we must not rely on thermodynamic premisses and life and tornados don&#8217;t belong to the same class of naturally complex systems. Instead we refer to Schr&#246;dinger&#8217;s description of a living cell as 4-dimensional entity. Based on complex number spaces we may seek<span>&#160; </span>for further distinctions of processes and define ordered structures based on number theory.</span></p><p><span>Based on this we try to understand anticipatory systems by assigning Bayesian networks to (hyper-) complex number spaces. -- Hence Gaia is not playing dice but takes a <em>random walk in Monte Carlo</em>.</span></p>