Spacetime Oscillation Theory: Imaginative Foundations of Orthogonal Quantum Dynamics

Carl Friedrich von Weizsäcker, Thomas Görnitz, Holger Lyre

ten Napel, Rob

This paper proposes a physical interpretation of the imaginary unit i in the Schrödinger equation, arguing that its complex structure is not a mathematical artifact but a direct signature of the zero field’s internal phase dynamics. In standard quantum mechanics, i enables oscillatory, unitary time evolution—yet its physical meaning remains unaddressed. Within the framework of R-theory (Resonance Theory), the universe is understood as a coherent resonant field with two inseparable components: a real, space-time-manifested aspect and an imaginary, non-local phase domain. This paper identifies i as the mathematical projection of this hidden imaginal axis. The wavefunction’s complex nature—traditionally viewed as formal—is reinterpreted as a physical necessity. The real amplitude corresponds to manifested energy, while the imaginary component expresses the latent coherence through which all energy oscillates between potential and presence. In this view, the Schrödinger equation becomes a dynamical law describing rotations within the zero field, where i functions as the operator of coherence rather than an abstract algebraic device. The implications are significant: Quantum oscillation reflects the continuous exchange between real and imaginal components of the zero field. Complexity is elevated from a mathematical convenience to an ontological principle. Consciousness emerges as the experiential side of the same imaginal phase that maintains physical coherence. Reality itself is intrinsically complex—built from orthogonal dimensions of manifestation and potential. This paper reframes the imaginary dimension as the fundamental axis through which the universe sustains resonance. What physics calls “imaginary” is revealed as the inner structure of reality, the phase without space that allows energy, matter, and awareness to exist as coherent oscillations within the zero field.

Barkalle Wersha Hajinur

Actuality Theory, developed by independent researcher Barkalle Wersha Hajinur, presents an original paradigm that places consciousness and perception as fundamental to reality. The theory introduces three orthogonal states of existence within a unified Hilbert space framework:Internity: Internal, dream-like reality governed by non-Hermitian dynamics.Externity: Shared physical reality distorted by perceptual influence.Eternity: Timeless, spaceless unity beyond measurement and spacetime. Key innovations include Reality Looping (cyclic coupling preventing absolute perception) and the Speed of Sight (awareness propagation exceeding c outside spacetime constraints). The mathematical formalism resolves longstanding issues such as the quantum measurement problem and aspects of the hard problem of consciousness while offering testable predictions.This foundational paper (dated October 25, 2024) is supplemented by a 2025 sequel addressing the limits of materialist physics. The theory bridges empirical science with metaphysical traditions, providing a post-materialist foundation for understanding existence, observation, and human experience.This upload contains the complete manuscript as a working paper / preprint. All rights reserved by the author. Feedback and scholarly discussion are welcome.

Nico F. Declercq

Trembling Spacetime Relativity Theory (TSRT) was introduced as a deterministic geometric framework in which spacetime possesses an admissible oscillatory microstructure constrained by causal consistency and proper-time monotonicity. Rather than treating microscopic physical phenomena through probabilistic quantization postulates, the theory investigates whether observable structures may emerge from bounded oscillatory geometry itself. The foundational works published in 2025 established the admissibility framework, finite spectral structure, deterministic interpretations of interference and correlation phenomena, and the geometric basis for bounded microscopic dynamics. These studies demonstrated that admissible metric oscillations can generate finite spectral measures, stable causal propagation, and nontrivial observable structure without requiring wavefunction collapse or fundamentally probabilistic dynamics. The developments completed in 2026 extended the framework substantially by introducing admissibility-compatible covariant variational formulations, nonlinear oscillatory operators, admissible spectral measures, boundary-induced mode suppression mechanisms, and quantitative atomic-structure calculations. In particular, recent results established that the admissible oscillatory sector admits localized configurations that are nonlinearly stable under admissible perturbations. This provides the first rigorous dynamical foundation for interpreting localized admissible modes as physically realizable geometric structures. The purpose of the present article is to provide a unified overview of the TSRT program developed so far, to clarify the logical connections between the various foundational and phenomenological results, and to summarize the current mathematical and physical status of the theory. The article also identifies the principal open problems and outlines the broader significance of admissibility-restricted geometric dynamics as a possible framework for microscopic physics.

James B. Hartle