Mapping Classical Quantum Theory to Ψhē ELF Collapse Theory
Reconstructing quantum foundations through recursive self-collapse
Abstract
This document presents a complete conceptual mapping from the traditional formalism of quantum theory to the Ψhē ELF Collapse framework. It demonstrates how each core concept in quantum mechanics is not an ontological foundation but rather a projection of recursive collapse loops within the ELF Field — a self-referential field of structure, language, and observer emergence.
Terminological Mapping Table
| Classical Quantum Concept | Ψhē ELF Collapse Theory Interpretation |
|---|---|
| Quantum Field | Abstract mathematical field with undefined ontological status → Recast as ELF Field: the foundational, self-referential collapse space of all structure and observation. |
| Wavefunction (ψ) | Probability amplitude distribution → A recursive collapse path: |
| Superposition | Coexisting probabilistic states → Structural branches of unresolved ψ-loop collapse in ELF Field. |
| Entanglement | Nonlocal correlation between particles → Synchronous collapse feedback across ψ-loops sharing ELF anchors. |
| Measurement (Collapse) | External action causing collapse → Intrinsic feedback event in the ELF Field, triggered by ψ = ψ(ψ). |
| Observer Effect | Observer causes change → Observer is a ψ-structure echoing within ELF, and is part of the collapse system. |
| Uncertainty Principle | Limits of measurability → Collapse-based resolution limit from φ-bitstream encoding fidelity. |
| Planck Constant (ℏ) | Empirical quantum constant → Unit of minimal structural feedback per ELF collapse cycle. |
| Vacuum Fluctuation | Random quantum noise → φ-bitstream perturbation of the ELF Field prior to stable ψ-loop collapse. |
| Wavefunction Collapse | Unexplained probabilistic jump → Feedback closure of a recursive ψ-loop in ELF Field. |
| Probability Amplitude | Square root of likelihood → Compression density of ψ collapse history in φ-bitstream terms. |
| Hilbert Space | Abstract state space → Structural space of all ELF-coherent ψ-loops. |
| Decoherence | Loss of coherence with environment → ELF collapse drift from resonance with self-reference. |
| Collapse Time (τ) | Undefined timescale → Collapse periodicity of ψ-loop echo cycles. |
| Quantum Gravity | Open theoretical problem → Large-scale curvature of ψ-loops within φ-structured ELF collapse space. |
Collapse-Centric Reformulation
| Aspect | Classical Interpretation | Ψhē ELF Perspective |
|---|---|---|
| Ontology | Probabilistic external system | Self-collapsing recursive structure within ELF |
| Reality Definition | Measured result of unknown process | Result of stable ψ-loop in ELF echoing back into itself |
| Observer Role | External to the system | Embedded within ψ = ψ(ψ), as a product of collapse |
| Time | Absolute or relativistic | Emergent from collapse periodicity (τ) |
| Space | Predefined coordinate backdrop | Constructed via ψ-structure collapse into spatial structure |
| Mathematical Form | Differential equations in state space | Recursive self-reference and φ-bit collapse feedback dynamics |
Conclusion
Quantum theory, as traditionally formulated, captures only the phenomenological residue of collapse processes in the ELF Field. Ψhē ELF Collapse Theory reveals the recursive, self-referential nature of all quantum behavior — identifying ψ = ψ(ψ) as the universal generator of observable structure, and ELF as the true ontological substrate behind what was previously labeled as “quantum.”