This paper presents the consolidation of the Tensor T model with empirical evidence obtained through quantum experiments (QRNG). A statistical deviation with a significance level of $p = 6.4 \times 10^{-34}$ ($Z = 12.14$) has been demonstrated, providing a basis for rejecting the null hypothesis of pure randomness. We introduce the concept of the "Third Observer" as a causal variable in the structure of informational reality, acting by projecting intention onto the Tensor T matrix.
This paper presents the consolidation of the Tensor T model with empirical evidence obtained through quantum experiments (QRNG). A statistical deviation with a significance level of p=6.4×10−34 (Z=12.14) has been demonstrated, providing a basis for rejecting the null hypothesis of pure randomness. We introduce the concept of the "Third Observer" as a causal variable in the structure of informational reality, acting by projecting intention onto the Tensor T matrix.
This document develops the formal mathematical foundations of the Conscious Projection hypothesis, which resolves the quantum measurement problem by modeling conscious observation as a projection from a globally integrated information manifold. The work introduces the structure of a conscious manifold M=(Ω,G,τ)\mathcal{M} = (\Omega, G, \tau)M=(Ω,G,τ), establishes four foundational lemmas describing structural constraints on observation, and proves two central theorems: Theorem 1 (Definite Outcomes): Collapse is an experiential selection imposed by global integration, degenerate projection, and diachronic identity. Theorem 2 (Non-Observability): Collapse is epistemically private and leaves no physical trace in Hilbert space, ensuring consistency with unitary evolution. These results formally distinguish subjective collapse from physical dynamics, providing a mathematically grounded interpretation of consciousness in quantum measurement and yielding empirically relevant predictions for altered states.
To arbitrate theories of consciousness, scientists need to understand mathematical structures of quality of consciousness, or qualia. The dominant view regards qualia as points in a dimensional space. This view implicitly assumes that qualia can be measured without any effect on them. This contrasts with intuitions and empirical findings to show that by means of internal attention qualia can change when they are measured. What is a proper mathematical structure for entities that are affected by the act of measurement? Here we propose the mathematical structure used in quantum theory, in which we consider qualia as "observables" (i.e., entities that can, in principle, be observed), sensory inputs and internal attention as "states" that specify the context that a measurement takes place, and "measurement outcomes" with probabilities that qualia observables take particular values. Based on this mathematical structure, the Quantum-like Qualia (QQ) hypothesis proposes that qualia observables interact with the world, as if through an interface of sensory inputs and internal attention. We argue that this qualia-interface-world scheme has the same mathematical structure as observables-states-environment in quantum theory. Moreover, within this structure, the concept of a "measurement instrument" in quantum theory can precisely model how measurements affect qualia observables and states. We argue that QQ naturally explains known properties of qualia and predicts that qualia are sometimes indeterminate. Such predictions can be empirically determined by the presence of order effects or violations of Bell inequalities. Confirmation of such predictions substantiates our overarching claim that the mathematical structure of QQ will offer novel insights into the nature of consciousness.
To arbitrate theories of consciousness, scientists need to understand mathematical structures of quality of consciousness, or qualia. The dominant view regards qualia as points in a dimensional space. This view implicitly assumes that qualia can be measured without any effects on it. This contrasts with intuitions and empirical findings to show that by means of internal attention qualia can change when they are measured. What is a proper mathematical structure for entities that are affected by the act of measurement? Here we propose the mathematical structure used in quantum theory, in which we consider qualia as “observables” (i.e., entities that can, in principle, be observed), sensory inputs and internal attention as “states” that specify the context that a measurement takes place, and “measurement outcomes” with probabilities that qualia observables take particular values. Based on this mathematical structure, the Quantum-like Qualia (QQ) hypothesis proposes that qualia observables interact with the world, as if through an interface of sensory inputs and internal attention. We argue that this qualia-interface-world scheme has the same mathematical structure as observables-states-environment in quantum theory. Moreover, within this structure, the concept of an “measurement instrument” in quantum theory can precisely model how measurements affect qualia observables and states. We argue that QQ naturally explains known properties of qualia and predicts that qualia are sometimes indeterminate. Such predictions can be empirically determined by the presence of order effects or violations of Bell inequalities. Confirmation of such predictions substantiates our overarching claim that the mathematical structure of QQ will offer novel insights into the nature of consciousness.
To arbitrate theories of consciousness, scientists need mathematical models of consciousness or qualia. The dominant view regards qualia as points in a dimensional space. Implicit in this view is that qualia can be in principle measured without any effects on it. This contrasts with intuitions and various empirical findings about qualia that they can change when they are measured. How can we deal with entities that are affected by the act of measurement? We argue that mathematical formalisms of quantum theory are precisely developed to deal with such situations. Here, we propose qualia as “observables” (i.e., entities that can be in principle observed), sensory inputs and internal attention as “states” that specify the context that a measurement takes place, and “measurement outcomes” as expected values of qualia observables in a certain state. We propose to call this formalism as the Quantum Qualia (QQ) hypothesis. QQ proposes that qualia observables in a state interact with the world, as if through an interface of sensory inputs and internal attention. This qualia-interface-world scheme has the same mathematical structure as observables-states-environment in quantum theory. Within this framework, mathematical concepts of “instruments” can precisely formalize how measurements can affect (or update) qualia observables and states. QQ naturally explains intuitions about qualia, such as the nature of qualia as indeterminate entities. Finally, QQ leads to empirical predictions that challenge traditional models, such as order effects and violations of Bell inequalities. With further confirmation of such predictions, we believe that QQ will emerge as a viable alternate mathematical model of qualia, offering an important step towards understanding the nature and structures of consciousness.
The **Information Manifold Model (IMM) V3** presents a unified scientific framework where physical reality, spacetime, and cognition emerge from a single **informational manifold**. By using six foundational axioms, the model mathematically derives the **determinacy of observations**, suggesting that definite outcomes are a structural consequence of how information is projected. It posits that **Lorentzian spacetime** is not a fixed background but a stable attractor resulting from informational flow and renormalization. The research introduces a **unified variational principle** that seeks to harmonize general relativity, quantum mechanics, and thermodynamics under one informational action. Furthermore, the text predicts **testable deviations** from standard quantum statistics in specific mesoscopic systems, providing a pathway for empirical falsification. Finally, the model extends its reach into **cognitive architecture**, replacing traditional psychiatric categories with a dynamical systems approach to human behavior and perception.
Quantum mechanics (QM) proposes that a quantum system measurement does not register a pre-existing reality but rather establishes reality from the superposition of potential states. Measurement reduces the quantum state according to a probability function, the Born rule, realizing one of the potential states. Consequently, a classical reality is observed. The strict randomness of the measurement outcome is well-documented (and theoretically predicted) and implies a strict indeterminacy in the physical world’s fundamental constituents. Wolfgang Pauli, with Carl Gustav Jung, extended the QM framework to measurement outcomes that are meaningfully related to human observers, providing a psychophysical theory of quantum state reductions. The Pauli-Jung model (PJM) proposes the existence of observer influences on quantum measurement outcomes rooted in the observer’s unconscious mind. The correlations between quantum state reductions and (un)conscious states of observers derived from the PJM and its mathematical reformulation within the model of pragmatic information (MPI) were empirically tested. In all studies, a subliminal priming paradigm was used to induce a biased likelihood for specific quantum measurement outcomes (i.e., a higher probability of positive picture presentations; Studies 1 and 2) or more pronounced oscillations of the evidence than expected by chance for such an effect (Studies 3 and 4). The replicability of these effects was also tested. Although Study 1 found strong initial evidence for such effects, later replications (Studies 2 to 4) showed no deviations from the Born rule. The results thus align with standard QM, arguing against the incompleteness of standard QM in psychophysical settings like those established in the studies. However, although no positive evidence exists for the PJM and the MPI, the data do not entirely falsify the model’s validity.