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Journal of consciousness exploration & research

Classical Non-determinism in Relation to Holography, Memory & Realization of Intentional Action in TGD Viewpoint

Matti Pitkänen

Published Sep 1, 2025• 0 citations
OpenAlex

Abstract

Gary Ehlenberg sent a link to an interesting Quanta Magazine article with the title "'Next-Level' Chaos Traces the True Limit of Predictability". The article discusses the limits to classical predictability as effective non-determinism due to non-computability caused by the initial value sensitivity although the classical dynamics is deterministic. There is also a genuine non-predictability due to non-determinism of quantum theory and quantum statistical determinism makes predictability possible in this case. Holography, which is not discussed in the article, simplifies the situation enormously since roughly one half of boundary values of initial values are reduced. In wave mechanics, holography corresponds to Bohr orbitology. In complex analysis, the holography corresponds to the reduction of the data defining the analytic function reduces to the residues at poles and discontinuities at cuts. In the TGD framework holography boils down to holography = holomorphy principle and allows an interesting point of view to the notion of classical chaos. The extremely nonlinear partial differential equations are reduced to algebraic equations. The case of 2-D minimal surfaces suggests that the holography is not completely deterministic and this forces zero energy ontology (ZEO). The discrete degrees of freedom related to classical non-determinism make conscious memory possible and could relate to the realization of intentions as actions. Number theoretic vision suggests that p-adic and adelic physics serves as correlates for cognition and intentionality and that p-adic non-determinism and classical non-determinisms in the real sector could relate. ZEO suggests a concrete mechanism for how intentions are realized as actions.

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Gary Ehlenberg sent a link to an interesting Quanta Magazine article with the title "'Next-Level' Chaos Traces the True Limit of Predictability". The article discusses the limits to classical predictability as effective non-determinism due to non-computability caused by the initial value sensitivity although the classical dynamics is deterministic. There is also a genuine non-predictability due to non-determinism of quantum theory and quantum statistical determinism makes predictability possible in this case. Holography, which is not discussed in the article, simplifies the situation enormously since roughly one half of boundary values of initial values are reduced. In wave mechanics, holography corresponds to Bohr orbitology. In complex analysis, the holography corresponds to the reduction of the data defining the analytic function reduces to the residues at poles and discontinuities at cuts. In the TGD framework holography boils down to holography = holomorphy principle and allows an interesting point of view to the notion of classical chaos. The extremely nonlinear partial differential equations are reduced to algebraic equations. The case of 2-D minimal surfaces suggests that the holography is not completely deterministic and this forces zero energy ontology (ZEO). The discrete degrees of freedom related to classical non-determinism make conscious memory possible and could relate to the realization of intentions as actions. Number theoretic vision suggests that p-adic and adelic physics serves as correlates for cognition and intentionality and that p-adic non-determinism and classical non-determinisms in the real sector could relate. ZEO suggests a concrete mechanism for how intentions are realized as actions.
This article is a summary of TGD inspired theory of consciousness as it is towards the end of 2025 and of its applications to biology. This article gives a summary of TGD inspired theory of consciousness as it is towards the end of 2025. In the TGD framework, it is not possible to discuss consciousness without the TGD view of space-time and quantum. Also the applications to quantum biology and neuroscience have been essential in the development of ideas. The basic inspiration has come from the deep philosophical problems of recent day physics and philosophy of consciousness. The TGD view of consciousness can be seen as a generalization of quantum measurement theory: the observer as an outsider becomes a part of the system. The basic new elements are zero energy ontology (ZEO) as a new quantum ontology forced by the new view of space-time as 4-surfaces analogous to Bohr orbits of particles as 3-D surfaces. The dynamics of the classical space-time obeys holography = holomorphy principle. The failure of a strict classical determinism provides geometric correlates of intention and cognition. ZEO allows us to solve the basic problem of quantum measurement theory, allows free will, and provides a new view of the relation between geometric time and subjective time. Physical existence, identified as the mathematical existence of quantum states: one can speak of quantum Platonia. Conscious existence is identified as quantum jumps between them and can be seen as two different kinds of existence. The classical non-determinism gives rise to quantum jumps giving rise to conscious entities, selves, and the ordinary quantum jumps are predicted to change the arrow of time. This means death and reincarnation of self with an opposite arrow of time. Also the number theoretic visions of TGD is central. A key implication of the number theoretic vision is a hierarchy of Planck constants heff making possible quantum coherence in arbitrarily long scales crucial for the coherence of living matter. p-Adic length scale hierarchy is the second number theoretic prediction. The applications to quantum biology and neuroscience rely on these hierarchies. In this article, the key notions and ideas of TGD, especially those relevant to consciousness and quantum biology, are summarized. The TGD view of consciousness emphasizing recent progress is summarized. The basic ideas and applications to quantum biology are also described.
We remember our conscious experiences, also as re-experiences, and not just as learned, often unconscious, behaviors that reduce to associations. In the standard ontology of quantum theory. The information of the conscious experience, if determined by the quantum jump, must be about the initial and the final states of the quantum jump and the transition between them. In the standard ontology of quantum theory, it cannot be represented by the final state of the quantum jump. According to the standard quantum theory, quantum states 3-D time=constant snapshots and do not remember anything about the previous quantum jumps. In TGD, the zero energy ontology (ZEO) combined with holography = holomorphy vision suggests a universal mechanism of memory storage and recall. The slight non-determinism of the classical field equations, determining the space-time surface, implies that quantum states are superpositions of space-time surfaces analogous to 4-D Bohr orbits for 3-surfaces as particles. In standard ontology they would be superpositions of 3-surfaces. State function reductions (SFRs) occur between these states and the information about the initial state (in 3-D sense) and about transition to the final state (in 3-D sense) is coded to the Bohr orbits associated with the final state (in 4-D sense). The slight on-determinism makes possible memory recall in ZEO. The proposed mechanism is universal and applies also to matter, which is usually regarded as "dead" (since it looks dead in the time scales of our perceptive abilities). This justifies the notion of the 4-dimensional brain. In this article the notion of memory is discussed from the points of view of computer science and neuroscience, of quantum theories of consciousness, and of TGD inspired theory of consciousness.
This article is a summary of TGD inspired theory of consciousness as it is towards the end of 2025 and of its applications to biology. This article gives a summary of TGD inspired theory of consciousness as it is towards the end of 2025. In the TGD framework, it is not possible to discuss consciousness without the TGD view of space-time and quantum. Also the applications to quantum biology and neuroscience have been essential in the development of ideas. The basic inspiration has come from the deep philosophical problems of recent day physics and philosophy of consciousness. The TGD view of consciousness can be seen as a generalization of quantum measurement theory: the observer as an outsider becomes a part of the system. The basic new elements are zero energy ontology (ZEO) as a new quantum ontology forced by the new view of space-time as 4-surfaces analogous to Bohr orbits of particles as 3-D surfaces. The dynamics of the classical space-time obeys holography = holomorphy principle. The failure of a strict classical determinism provides geometric correlates of intention and cognition. ZEO allows us to solve the basic problem of quantum measurement theory, allows free will, and provides a new view of the relation between geometric time and subjective time. Physical existence, identified as the mathematical existence of quantum states: one can speak of quantum Platonia. Conscious existence is identified as quantum jumps between them and can be seen as two different kinds of existence. The classical non-determinism gives rise to quantum jumps giving rise to conscious entities, selves, and the ordinary quantum jumps are predicted to change the arrow of time. This means death and reincarnation of self with an opposite arrow of time. Also the number theoretic visions of TGD is central. A key implication of the number theoretic vision is a hierarchy of Planck constants heff making possible quantum coherence in arbitrarily long scales crucial for the coherence of living matter. p-Adic length scale hierarchy is the second number theoretic prediction. The applications to quantum biology and neuroscience rely on these hierarchies. In this article, the key notions and ideas of TGD, especially those relevant to consciousness and quantum biology, are summarized. The TGD view of consciousness emphasizing recent progress is summarized. The basic ideas and applications to quantum biology are also described.
An innocent looking question "What F=maF=maF=ma means in TGD?", posed by Lawrence B. Crowell in a FB discussion, can be abstracted to the question how the transfers of conserved isometry charges of H=M4 x CP2 are realized at the level of fundamental interactions. At this level, the question is about how the conserved charges associated with the initial state particles are redistributed between the final state particles. Somewhat surprisingly, TGD based quantum ontology implies that quantum non-determinism is an essential part of the answer to the question. Equally surprisingly, also a connection with the theory of consciousness and cognition emerges at the fundamental elementary particle level. In the TGD view, the weak violation of the classical non-determinism in holography = holomorphy vision of TGD leads to the identification of self as a sequence of "small" state function reductions (SSFRs) identified as TGD counterparts of repeated measurements of the same observables: now however the observables related to the non-determinism are measured in SSFRs and give rise to the correlates of cognition. By quantum criticality, a "big" state function reduction (BSFR) as the TGD counterpart of what occurs in quantum measurement, can take place. BSFR means the death of self and its reincarnation with an opposite arrow of time. Quantum criticality of the TGD Universe, realized in terms of holography = holomorphy principle, would be essential for this. For instance, particle decay involving topological changes could correspond to this process and all particle interactions would basically be due to the quantum criticality so that instead of SSFR, BSFR takes place. Intention is transformed to action at fundamental level. Cognition is dangerous in the TGD Universe!
This article is inspired by the article "Is a time symmetric interpretation of quantum theory possible without retrocausality?" of Leifer and Pusey related to the notion of retrocausality. Retrocausality means the possibility of causal influences propagating in non-standard time direction. The conjecture is that retrocausality could allow wave functions to be real and allow to get rid of the problematic notion of state function reduction. TGD leads to a new view about reality of wave function solving the basic problem of quantum measurement theory. In ZEO quantum states are replaced by zero energy states analogous to pairs of initial and final states in ordinary positive energy ontology and can be regarded as superpositions of classical deterministic time evolutions. The sequence of state function reductions means a sequence of re-creations of the superpositions of classical realities identified as space-time surfaces. The TGD based view about scattering amplitudes has rather concrete connection with the view of Cramer as I interpret it. There is however no attempt to reduce quantum theory to a purely classical theory. The notion of the "world of classical worlds" (WCW) consisting of classical realities identified as space-time surfaces replaces space-time as a fixed observer independent reality in TGD. Retrocausality is basic aspect of TGD. Zero Energy Ontology (ZEO) predicts that both arrows of time are possible. In this sense TGD is time symmetric. On the other hand, twistor lift of TGD predicts a violation of time reflection T and this might imply that second arrow of causality dominates in some sense. The ZEO based view about state function reduction essential for TGD inspired theory of consciousness and implying generalized Zeno effect giving rise to conscious entities - "selves" - is also essential. One might say that when conscious entity dies it re-incarnates as time-reversed self.
There are experiments suggesting that the reliability of future predictions for events is better for real than for hypothetical events. This strange finding, if real, would be an anomaly analogous to Libet's findings about active aspects of consciousness challenging the notion of free will. In this article it is argued that it is difficult to explain the finding in the physicalistic framework, and that the allowance of free will seems only to worsen the situation since precognition of acts of free will does not make sense. In the framework of Topological Geometrodynamics (TGD) zero energy ontology (ZEO) replaces the standard ontology of quantum theory. ZEO predicts that in "big" (ordinary) state function reductions (BSFRs) the arrow of time changes and that the identification of acts of free will identified as BSFRS is not in conflict with the determinism of classical physics as an exact part of quantum TGD. Also Libet's findings can be understood. This suggests a model for the anomaly. The experiment would have already happened as BSFR ("already" is with respect to subjective time to be distinguished from geometric time) for a quantum system associated with the experimenters and participants. The knowledge that the event is actual inspires unconsciously the attempt to "remember" the personal performance in the experiment instead of only imagining it and this would explain the improved future predictions.