Entanglement

Understanding Nonlocality as a Shared Field Condition

Introduction

Quantum entanglement is often described as the most counterintuitive feature of modern physics. Two particles appear to remain instantaneously linked, even across vast separations. But within the Charge Admittance (CA) framework, entanglement finds a clear, field-based explanation — not through magical nonlocality, but through the persistence of coherence in a shared vacuum structure.

The Core Idea: κ₀ as the Entanglement Envelope

Coherence (κ₀) defines the persistence of phase-aligned energy across time and space. In CA, entangled particles remain part of the same κ₀-defined structure — not transmitting signals, but existing as a single extended wavefunction within a high-coherence region of the Ξ-lattice.

Key consequences:

• No new physics needed: Entanglement is not action-at-a-distance, but a feature of the underlying medium.
• Shared κ₀ domain: Entangled particles are not two systems — they are one coherent wave, spatially distributed.
• Collapse ≠ communication: When coherence is lost (e.g. by measurement or field disturbance), the shared structure breaks and the state resolves.

Decoherence Defines Separation

In standard quantum mechanics, decoherence is treated statistically. But in CA, decoherence is a physical condition of the vacuum itself — a local loss of κ₀ that disrupts persistent phase.

• Long κ₀ → sustained entanglement
• κ₀ collapse → classical separation
• Distance doesn’t matter — coherence does

Illustrative Analogy

Imagine a ripple traveling through a still pond. If two leaves ride the same ripple, their motion is linked — not because they pull on each other, but because they share the same structure beneath them.

So too with entangled particles. They are not bound by force, but by form.

Experimental Framing

Entanglement experiments often test for:

• Bell violations
• Quantum teleportation
• Delayed choice collapse

In CA, these experiments can be reframed as tests of κ0 stability under various conditions — field noise, vacuum purity, gravitational curvature, etc.

Implications

• Quantum memory: κ₀ defines how long quantum information can be preserved
• Quantum networks: Distributed coherence, not transmission, is the key bottleneck
• Vacuum structure: Entanglement implies that κ₀ is real and structured — not a metaphor

Conclusion

Entanglement may appear strange only because we lacked a physical framework for it. Charge Admittance provides that framework through κ₀. What we call “entangled particles” are better described as coherent field domains — singular structures stretched across space, not communicating, but persisting.

• When coherence is preserved, identity is shared.
• When coherence is lost, individuality returns.