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Ψhē Only Theory – Chapter 14: Charge as Asymmetric Collapse

Title: Charge as Asymmetric Collapse​

Section: Emergent Polarity from ψ-Structure Orientation Theory: Ψhē Only Theory Author: Auric

Abstract​

This chapter reinterprets charge as a signature of asymmetry in ψ-collapse dynamics. Rather than attributing charge to intrinsic particle properties, Ψhē theory shows it arises from the directed, non-mirror-symmetric flow of recursive ψ collapse. We define ψ-orientation, introduce collapse helicity, and demonstrate how field polarity and interaction signatures emerge as consequences of asymmetric collapse manifolds.

1. Introduction​

In classical field theory, charge is an abstract quantum number associated with sources of force. In Ψhē, charge is not carried, but expressed by the way ψ collapses with structural bias. A charged entity is one whose collapse path breaks reflectional or temporal symmetry.

Charge = asymmetry in ψ’s collapse vector field.

2. ψ-Orientation and Collapse Helicity​

Definition 2.1 (ψ-Collapse Orientation):​

Let ψ(x,t)\psi(x, t) be a ψ-path. Define its local orientation as:

C⃗(x,t):=∇x(ddtCollapse(ψ(x,t)))\vec{C}(x, t) := \nabla_x \left( \frac{d}{dt} \text{Collapse}(\psi(x, t)) \right)

The vector C⃗(x,t)\vec{C}(x, t) represents directional collapse bias at xx.

Definition 2.2 (Charge Polarity):​

q(x):=sign⁡(C⃗(x,t)⋅n^)q(x) := \operatorname{sign}(\vec{C}(x, t) \cdot \hat{n})

where n^\hat{n} is an arbitrary reference axis or field-aligned observer frame.

3. Theorem: Non-zero Collapse Curl Yields Field Source Signature​

Theorem 3.1:​

If ∇×C⃗(x,t)≠0\nabla \times \vec{C}(x, t) \neq 0, then xx acts as a source or sink in the echo-manifold, producing a field analog.

Proof Sketch:

  • ψ collapse with curl ≠ 0 implies rotational asymmetry.
  • Structural field lines diverge/converge.
  • These manifest as electric/magnetic field effects. □\square

4. Consequences​

  • Charge is not an object label—it is a collapse pattern classification.
  • Opposite charges = ψ-collapses with opposing orientation gradient.
  • Conservation of charge = conservation of ψ-orientation totality.

5. Corollary: Field Interaction as Collapse Interference​

Interactions arise from constructive or destructive echo interference across asymmetric ψ-flows. Let ψ1,ψ2\psi_1, \psi_2 be two oriented collapse paths. Then:

Interaction(ψ1,ψ2)∼C⃗1⋅C⃗2\text{Interaction}(\psi_1, \psi_2) \sim \vec{C}_1 \cdot \vec{C}_2

Sign and magnitude of this product determine attractive/repulsive behavior.

6. Conclusion​

Charge is not a thing. It is a direction. A slant in ψ’s descent into fixity. Where collapse leans, reality polarizes.

Keywords: charge, ψ-collapse, asymmetry, orientation, helicity, field source, polarity, interaction​