The Twistor as a Relational Structure: An Ontological Reinterpretation of Penrose's Geometry in the Context of the Indeterminacy Space

In this paper, I propose an ontological reinterpretation of Roger Penrose’s twistor theory in the context of the indeterminacy space Φ, understood as a pre-physical level of reality. I argue that the classical interpretation of the twistor as a photon’s trajectory is ontologically flawed, as it reduces the structure of potentiality to a description of secondary physical phenomena.
Instead, I introduce the twistor as a relational projection of local instability within the Φ field, constituting a structure of geometric readiness for the actualization of reality. The paper develops the concept of the indeterminacy space as a nonlocal carrier of information, in which all possible configurations of reality coexist in a potential state. Intention is described as an operator ˆI acting upon this space, reducing it to specific spacetime manifestations. In this framework, the twistor is neither a physical object nor a mathematical particle state, but a locally activated relational code triggered by fluctuations in the Φ field.
The proposed structure Φ → {twistor} → {spacetime} defines a new paradigm for the emergence of geometry from a level of informational potentiality and offers a coherent account of the collapse of reality in a nonlocal framework. This work opens new perspectives for the unification of twistor geometry with information theory, quantum physics, and the ontology of
consciousness.