🌀 NUVO Electron Orbital Advance
In classical electromagnetism, an electron orbiting a nucleus should radiate energy and spiral inward, but quantum mechanics resolves this paradox by introducing discrete orbitals. In NUVO Theory, the structure of electron motion arises from scalar geometry — specifically, the fixed spatial modulation encoded in the scalar field geometry around a charge.
The electron’s orbit experiences a geometric arc advance per revolution, and this advance is determined entirely by first-principles scalar modulation, with no requirement for classical forces or quantized angular momentum.
🔁 Constant Orbital Advance per Cycle
In NUVO, the geometry around a point charge modifies the effective arc length traced by an orbiting particle. Each complete orbit advances by a constant geometric arc length given by:
\(\Delta s = 2\pi r_e
\)
This quantity represents the spatial increment observed in coordinate space per revolution. It is not derived from dynamics or radiation constraints, but from the underlying scalar geometry that expands outward from the charge.
📏 What is \( r_e \)?
\( r_e \) is the classical electron radius, given by:
\(r_e = \frac{e^2}{4\pi \varepsilon_0 m_e c^2}
\)
In NUVO, \( r_e \) represents a fundamental unit of scalar geometry — the radius at which the entire rest energy of the electron would be recovered from its electrostatic potential energy. This radius sets the scale of scalar modulation and defines a geometric invariant:
To first order, \( r_e \) is a constant in the NUVO scalar field geometry, unaffected by orbital radius or electron velocity.
🧠 Geometry Drives the Advance
In contrast to circular or elliptical paths governed by classical central forces, the NUVO model defines orbital paths as scalar geodesics — curved paths through a scalar-modulated frame.
The consistent arc length of \( 2\pi r_e \) per cycle implies that the electron experiences a uniform geometric advance, regardless of classical energy or orbital radius.
This arc advance:
- Is directly proportional to \( r_e \)
- Occurs in the observer (coordinate) frame
- Builds up coherence across multiple revolutions
📌 Summary
- The NUVO electron orbit does not close exactly in classical Euclidean geometry.
- Instead, each orbit advances by a constant arc increment of \( 2\pi r_e \).
- This advance arises from the scalar geometry, not from any force law or quantization condition.
- \( r_e \) is a fixed geometric unit derived from the electron’s rest mass and charge and serves as a stable spatial constant in NUVO theory.
See also NUVO Series Paper 13