Higher-Dimensional Informational Projection as Consciousness (HDIPC): A Mathematical Framework for Subjective Experience Through Informational Geometry and Entropy Dynamics

Higher-Dimensional Informational Projection as Consciousness (HDIPC) is a formal theoretical framework that reconceptualizes consciousness as a dynamically sustained informational process rather than a static entity, substance, or mere epiphenomenon. The framework is motivated by persistent limitations in contemporary theories of consciousness, particularly their difficulty in explaining subjective unity, causal efficacy, graded loss of consciousness, and the relationship between physical processes and first-person experience. HDIPC proposes that consciousness arises when higher-dimensional, pre-conscious information becomes locally instantiated in spacetime through a projection process that crosses a critical threshold. This threshold is defined by the simultaneous satisfaction of three necessary conditions: recursive self-reference, high informational curvature (global, non-decomposable informational coupling), and sustained local entropy inversion (ΔS < 0). Projection alone is treated as necessary but insufficient; consciousness only emerges when projection is stabilized by bidirectional dynamics that allow the system to actively reshape its own informational constraints. A central feature of HDIPC is its rejection of epiphenomenalism. Once instantiated, consciousness is modeled as causally active within its domain, governing attention, prediction, memory consolidation, and action selection through feedback-driven informational dynamics. Consciousness is therefore not a passive readout of physical states, but a self-stabilizing process that maintains its own conditions of existence while remaining consistent with physical law. The framework introduces mathematically defined constructs including an informational projection operator, measures of informational curvature derived from information geometry and causal density, and entropy-balance conditions governing consciousness stability and degradation. Consciousness emergence is treated as a non-equilibrium phase transition in informational state space, while loss of consciousness—such as in sleep, anesthesia, or death—is modeled as progressive decoherence and topological flattening rather than destruction or survival of identity. HDIPC makes explicit, testable predictions regarding neural dynamics, information flow architectures, thermodynamic signatures of conscious states, and transitions between conscious and unconscious regimes. By integrating information theory, non-equilibrium thermodynamics, dynamical systems theory, and geometric constraints, HDIPC aims to provide a rigorously structured, empirically constrained foundation for the scientific study of subjective experience, while remaining neutral with respect to metaphysical interpretations beyond its formal scope.