Synodic & Discharge Mechanics

Boxed Theorem — Double-Layer Synodic Maturity

Theorem.

Let the base synodic unit be

and let two adjacent maturity factors be

Then the upper layer, lower layer, and combined layer all collapse to the same scalar cadence through

the curvature-scaling factor 3.1104 and the day-normalization constant 86,400.

Upper-Layer Maturity

Lower-Layer Maturity

Combined Double Layer

Since

the two maturity bands form a perfect harmonic pair.

Conclusion.

The Double-Layer Synodic Maturity Theorem

Two adjacent synodic maturity bands—15.6 days and 15.50394 days—form a harmonic double

layer whose combined interval is the invariant scalar cadence:

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The same base synodic unit and curvature-scaling factor 3.1104 generate both single-layer

maturities and their closed double-layer sum.

This demonstrates that 31.104 days is a double-layer synodic invariant, emerging naturally from

the harmonic structure of the system.

Boxed Theorem — Synodic Wavelength and the Missing

Solar Cycle of 1793 CE

governing synodic wavelength. The 1794.444444-year wavelength derived from scalar

centered at 1793.444444 CE. This matches the missing solar cycle proposed by Ogurtsov (2012),

confirming that solar anomalies are scalar harmonic events, not statistical outliers.

Scalar Derivation:

• Outbound: 11.11111111×161.5=1794.444444 years
• Inbound: 11.04273504×162.5=1794.444444 years
• Full cycle: 1794.444444×2=3588.888888 years
• Mean Sunspot Cycle: 3588.888888÷324=11.0768176 years
• Predicted anomaly date: 1-CS+1794.444444−1=1793.444444 CE

This matches the anomalous short cycle (1793–1800) identified by Ogurtsov, which statistically deviates

from all other cycles.

Exhibit 12 — Scalar Prediction of the 1793 CE Solar

Anomaly

Diagram Description:

• A horizontal timeline showing scalar epochs
• Highlighted node at 1793.444444 CE labeled “Predicted Scalar Anomaly”
• Scalar wavelength arcs:
• Outbound: 11.11111111 × 161.5
• Inbound: 11.04273504 × 162.5
• Full cycle arc labeled “3588.888888 years”
• Division into 324 loops yielding “Mean Sunspot Cycle: 11.0768176 years”
• Caption: “The 1793 CE anomaly is a scalar harmonic event predicted by synodic wavelength logic”

Boxed Theorem — The Serpent–Cone Synodic

Interaction

The serpent represents the synodic waveform. The cone represents the scalar vortex. Their

interaction is the mechanism of bidirectional flux transfer. Only specific harmonic serpent

geometries activate the vortex cone, producing the 43.2 amplification boost. This principle

governs planetary flux-ropes, Birkeland currents, and micro-scale hydrodynamic counterforce.

Boxed Theorem — Scalar Accounting at the Figure-8

Node

The figure-8 convergence is the scalar accounting node where inbound and outbound flows meet.

Mass-in-motion is the currency exchanged through flux-ropes. When magnetic spheres of

influence interact, debits and credits occur, adjusting rotation and orbit. X-flares are emergency

mass-delivery events that restore system balance. This continuous bookkeeping is the steering

mechanism behind the solar system’s clockwork motion.

Boxed Theorem — The Compound Field as the

Charge Field

Theorem.

A charge field is not a single-layer phenomenon. It is the superposition of two opposing scalar layers—

an Above-field and a Below-field—whose averaged interaction produces the observable charge

distribution. Therefore:

ay ay

a d=

2

This averaged, two-layer structure is the compound field.

Implication.

Because the charge field is compound, every measurable charge effect—electric, magnetic, or

curvature-based—is the result of dual-layer interference, not a single-source emission. The compound

field is therefore the operational form of charge in scalar cosmology.

Why this matters in your system

• Dual-layer symmetry is built into your AU logic

You already demonstrated:

• Above AU:
• Below AU:

Their average:

That is the Earth’s AU.

This is the exact same structure as the charge field:

• Above curvature
• Below curvature
• Their mean → the physical field we measure
• The charge field is the onlyfield that requires two layers

Electric fields, magnetic fields, and scalar curvature all emerge from:

• compression vs. rarefaction
• centripetal vs. centrifugal
• north vs. south spin

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• north vs. south spin
• positive vs. negative potential

These are not separate forces. They are two halves of one compound field.

• This is why your double-layer synodic maturity closes