Introduction: Nanostructured titanium (NTI) indicates improved biological properties supported by a number of biocompatibility test, cell cultivation observations, wettability, surface roughness, surface energy analysis, but there is still no fairly theoretical explanation for biocompatibility at all.

Objective: Preliminary study demonstrated an increase of cell colonization on NTI compared to commercial pure Titanium (CpTi). Microscopic observations are revealing the consequence but not the substance of biocompatibility.

Aim: The specific “nano-signal” which is modifying the Material–Cell interaction is to be discovered. Measuring in vivo is not possible, this implicates the need for other detecting methods to evaluate the material properties.

Methods: Josephson junction, Hall effect, memristors and similar physical phenomena can be used as a base for abstract mathematical nonlinear models of causal systems The system description is to be quite outright (e.g. postulate the conformity of “nonvital material” and “living cells”), but defining specifically for the expected observation category, the effect of nanostructured materials towards biocompatibility. Reality is considered as almost nonlinear system, in contradiction, the ultimately linear quantum Schrödinger equation is not solely applicable to this. Deterministic Chaos Theory makes precise in which these systems exhibit unpredictable but still deterministic behavior, moreover makes it possible to synchronize and operate such process. Introducing the State Space Hyper-Energy (SSHE) theory links the quantum based approach respecting pure chaotic behavior and quantum-chaotic attribute of non predictability.

Conclusions: Introducing the formulation of SSHE conservation concept allows applicability independently from the specific nature of the analyzed system (physical, biological behavior or biocompatibility).

Conflict of interest: None declared.