Subject of study. A 4 f Fourier-holography scheme with phase conjugation in the correlation plane and the corresponding Grossberg “Instar” neural-network model were examined to assess the feasibility of implementing quantum-like models of information processing. Aim of study. The aim was to develop a Fourier-holography scheme model consistent with the mathematical formalism of quantum mechanics used in quantum-like cognitive models. Method. Analytical modeling and numerical simulations were performed by representing the processed information with a homogeneous isotropic random field model. Main results. The results showed that the Fourier-holography setup incorporating nonlinear phase conjugation in the correlation plane could serve as a limited analog of a quantum system in terms of parallel processing and choice from a superposition. In this case, the choice was not random; rather, it was determined by the nonlinear transfer function of the phase-conjugating mirror. The shift-invariance, ensured by a thin Fourier hologram, imparted an additional capability—making decisions in the form of a superposition described by a linear prediction model; some researchers consider this approach as a possible mechanism underlying the phenomenon of intuition. Practical significance. An analytical description, consistent with the information-processing model, is required for developing holographic simulators of quantum information-processing systems and computing devices.Subject of study. A 4 f Fourier-holography scheme with phase conjugation in the correlation plane and the corresponding Grossberg “Instar” neural-network model were examined to assess the feasibility of implementing quantum-like models of information processing. Aim of study. The aim was to develop a Fourier-holography scheme model consistent with the mathematical formalism of quantum mechanics used in quantum-like cognitive models. Method. Analytical modeling and numerical simulations were performed by representing the processed information with a homogeneous isotropic random field model. Main results. The results showed that the Fourier-holography setup incorporating nonlinear phase conjugation in the correlation plane could serve as a limited analog of a quantum system in terms of parallel processing and choice from a superposition. In this case, the choice was not random; rather, it was determined by the nonlinear transfer function of the phase-conjugating mirror. The shift-invariance, ensured by a thin Fourier hologram, imparted an additional capability—making decisions in the form of a superposition described by a linear prediction model; some researchers consider this approach as a possible mechanism underlying the phenomenon of intuition. Practical significance. An analytical description, consistent with the information-processing model, is required for developing holographic simulators of quantum information-processing systems and computing devices.

Journal of Optical TechnologyJun 1, 20250 citations

Modeling of quantum-like cognitive phenomena by the Fourier-holography technique under the choice of alternatives

Alexander V. Pavlov

The article is dedicated to the search for a biologically motivated mechanism of the cognitive phenomenon of violation of the classical formula of total probability for the disjunction of incompatible events, which is considered by a number of researchers as a quantum-like phenomenon. A classical mechanism implemented by the 6f Fourier holography scheme of the resonant architecture that does not require reference to quantum mechanics either in its physical nature or at the level of formalism is demonstrated. In the analysis, the decision-making is interpreted as a choice of alternatives by using the non-cooperative game "Prisoner's Dilemma". The approach to the task is based on the search for a mechanism for forming a conditional estimate under a condition that contradicts the rule of monotonous decision logic. It is demonstrated that this estimate, in contrast to the unconditional and conditional one with a non-contradictory condition, is formed by logic with exception. The ring architecture of the holographic setup corresponds to the biologically inspired neural network concept of the excitation ring and implements cognitive dissonance on logic with exception. Conditions and ranges of violation of the classical formula of total probability in relation to the correlation radius of the reference image recorded in a hologram storing the monotone logic inference rule are analytically determined. The analytical model is confirmed by a quantitative coincidence of the results of numerical modeling with the published results of natural experiments.The article is dedicated to the search for a biologically motivated mechanism of the cognitive phenomenon of violation of the classical formula of total probability for the disjunction of incompatible events, which is considered by a number of researchers as a quantum-like phenomenon. A classical mechanism implemented by the 6f Fourier holography scheme of the resonant architecture that does not require reference to quantum mechanics either in its physical nature or at the level of formalism is demonstrated. In the analysis, the decision-making is interpreted as a choice of alternatives by using the non-cooperative game "Prisoner's Dilemma". The approach to the task is based on the search for a mechanism for forming a conditional estimate under a condition that contradicts the rule of monotonous decision logic. It is demonstrated that this estimate, in contrast to the unconditional and conditional one with a non-contradictory condition, is formed by logic with exception. The ring architecture of the holographic setup corresponds to the biologically inspired neural network concept of the excitation ring and implements cognitive dissonance on logic with exception. Conditions and ranges of violation of the classical formula of total probability in relation to the correlation radius of the reference image recorded in a hologram storing the monotone logic inference rule are analytically determined. The analytical model is confirmed by a quantitative coincidence of the results of numerical modeling with the published results of natural experiments.

Computer OpticsAug 1, 20212 citations

Quantum Ontology: A New Direction for Cognitive Modeling

Sisir Roy

Advances in cognitive neurodynamicsDec 1, 20141 citation

Holographic Session Links: A Post-Quantum Communication Protocol Based on Cognitive State Resonance

Maciej Mazur

We propose **Holographic Session Links (HSL)** — a post-quantum communication protocol in which network routing, access control, and message authentication emerge from the algebraic resonance between communicating nodes' cognitive state polynomials, rather than from external certificates, address spaces, or permission systems. In HSL, a message from node $A$ to node $B$ is decryptable **if and only if** node $B$ 's session polynomial $s_B$ is algebraically resonant with the sender's session polynomial $s_A$ . If resonance fails, the payload does not trigger an "access denied" response — it **collapses into irreversible thermodynamic noise** indistinguishable from the Ring-LWE error distribution. No routing table, no certificate authority, no firewall rule can prevent or simulate this collapse. The protocol extends **Holographic Session Spaces (HSS)** [Mazur, 2026a] from single-node process isolation to multi-node cognitive networks. Security is not a layer applied to communication — it is a **topological property of the communication space itself**.We propose **Holographic Session Links (HSL)** — a post-quantum communication protocol in which network routing, access control, and message authentication emerge from the algebraic resonance between communicating nodes' cognitive state polynomials, rather than from external certificates, address spaces, or permission systems. In HSL, a message from node $A$ to node $B$ is decryptable **if and only if** node $B$'s session polynomial $s_B$ is algebraically resonant with the sender's session polynomial $s_A$. If resonance fails, the payload does not trigger an "access denied" response — it **collapses into irreversible thermodynamic noise** indistinguishable from the Ring-LWE error distribution. No routing table, no certificate authority, no firewall rule can prevent or simulate this collapse. The protocol extends **Holographic Session Spaces (HSS)** [Mazur, 2026a] from single-node process isolation to multi-node cognitive networks. Security is not a layer applied to communication — it is a **topological property of the communication space itself**.

Apr 1, 20260 citations

A

to node

B

is decryptable **if and only if** node

B

's session polynomial

s_B

is algebraically resonant with the sender's session polynomial

s_A

. If resonance fails, the payload does not trigger an "access denied" response — it **collapses into irreversible thermodynamic noise** indistinguishable from the Ring-LWE error distribution. No routing table, no certificate authority, no firewall rule can prevent or simulate this collapse. The protocol extends **Holographic Session Spaces (HSS)** [Mazur, 2026a] from single-node process isolation to multi-node cognitive networks. Security is not a layer applied to communication — it is a **topological property of the communication space itself**.