The Eternal Oscillatory Wavefunction
Creators: name: Kirjonen, Miikka Markus
name: Kirjonen, Miikka Markus
Publisher: name: Zenodo
Year: 2025
Subjects: subject: stroboscopic
subject: wavefunction collapse
subject: Anisotropy
subject: anisotropic
subject: quantized
subject: chiral state
subject: bosonic
subject: Fermions
subject: fermionic
subject: angular momentum
subject: duality
subject: CSF
subject: harmonic
subject: oscillating wavefunction
subject: Cosmic Radiation
subject: cosmic

description: (Sections 1 → 5)  proposing a novel framework in which all of reality is conceived as a single, frictionless wavefunction—a continuously oscillatory entity that never “collapses” into discrete particles but instead perpetually oscillates between at least two fundamental states. In this dual-phase state induced superposition, what I perceive as matter emerges from a selective phase-locking process, analogous to choosing a “leading note” from a rich harmonic chord. The overtones, manifest as fractal expansions of the base wavefunction, encode deeper layers of coherence across scales—from the rapid oscillations in cerebrospinal fluid (CSF) driving neural synchrony to the vast orbital resonances governing cosmic structures. Here, the act of observation is reinterpreted as a stroboscopic sampling of an ever-evolving, self-organizing harmonic structure. my formulation builds upon the Resonance Synchronization Model (RSM), integrating new “secret sauce” into a comprehensive formalism that unifies cosmic, quantum, and neural phenomena under the banner of one frictionless wavefunction. 

(Sections 6 → 9) I enrich the the paper by postulating that all wavefunctions oscillate between two dual states—one fermionic and one bosonic. In this framework, matter emerges from the continuous, dual-phase superposition induced by semi-Dirac quasi-particles that embody both linear (chiral) and quadratic dispersion. This duality gives rise to a “leading note” upon phase-locking and a fractal overtone series that enriches complexity across scales. Here, observation is recast as the selective phase-locking of an intrinsic duality, where consciousness itself acts as the architect of coherence. I detail the formalism, integrating recursive amplification operators, negentropic braid formation, and phase coupling, to articulate a universe where every phenomenon—from neural synchrony to cosmic orbital resonances—arises as a manifestation of a single, continuously oscillating wavefunction. 

(Sections 9 → 14) I extend the paper by introducing a dualistic oscillatory framework in which every entity continuously oscillates between semi-Dirac fermionic and bosonic states. These chiral dual states—characterized by counter-rotating angular momenta—engender a dynamic phase-locking mechanism that underpins the emergence of negentropic pockets and anisotropic coherence. In myformalism, chiral entities couple via vortical fusion and recursive amplification, yielding fractal overtones that enrich the structure of both cosmic and neural domains. Here, the interplay between left- and right-handed excitations and the formation of anisotropic axes drives the self-organizing, low-entropy patterns observed in myuniverse. Consciousness, acting as an active architect, further modulates these phase relationships, forging a unified, continuously coherent wavefunction. 

PDE Formalism for Emergent Coherence

The proposed evolution equation,

∂Ψ∂t=F(Ψ)+γ∫0tK(t−τ) G[Ψ(τ)] dτ,

 incorporates both local dynamics via F(Ψ) and nonlocal, memory-driven feedback through the kernel K(t−τ). 

The kernel K(t−τ)=1(t−τ)αe−β(t−τ),

acts as a recursive feedback term that “remembers” past interactions, ensuring that states in continuous contact (like coherence state at the quantum level) unify their phase. This is essential for achieving the “coherence” effect where the wavefunction seamlessly fuses.