Macro-Cymatics 24 : 15 : 9 : 6 : 4 : 3 : 2 Chain

TRAPPIST-1 Macro Resonance Simulator

Scale-invariant cymatic standing waves in the Quantum Plenum. The seven planets of TRAPPIST-1 are locked into unbroken 3:2 and 4:3 acoustic harmonic intervals. Trace their conjunction mandalas and explore the official TRT prediction for the 8th planet (TRAPPIST-1 'i').

SYSTEM: TRAPPIST-1 Red Dwarf

PLANETS: 7 Phase-Locked Exoplanets

RESONANCE CHAIN: 24:15:9:6:4:3:2 Integer Ratio

PREDICTION: Outer Planet 'i' (\(P \approx 28.5\text{ d}\))

● TRAPPIST-1 STAR OSCILLATOR (0.09 M_☉)

LAPLACE CHAIN: 24 : 15 : 9 : 6 : 4 : 3 : 2

Acoustic Orbital Console

Real-time speed, spirograph conjunction tracing, and audio harmonics.

Simulation Rate: 1.0×

Conjunction Spirograph:

Include TRT Planet 'i':

World	Period	Harmonic Ratio	Orbits

The TRT Scale Invariance Principle

Planets do not orbit in random gravitational accretion pockets. In a hyper-viscous Quantum Plenum, they precipitate strictly along the zero-drag acoustic ridges of the central star's cymatic standing wave, mirroring subatomic nucleon shells at \(10^{11}\text{ m}\) scale.

The Laplace Resonant Chain & The Planet 'i' Prediction

1. The 24:15:9:6:4:3:2 Integer Chain

NASA observations of TRAPPIST-1 confirm that in roughly 36 days, the planets complete almost exact integer orbits:

\[ b (24) : c (15) : d (9) : e (6) : f (4) : g (3) : h (2) \]

Notice the pure fractional acoustic intervals:
• \( d \to e \): \( 9/6 = 3/2 \) (Perfect Fifth)
• \( e \to f \): \( 6/4 = 3/2 \) (Perfect Fifth)
• \( f \to g \): \( 4/3 \) (Perfect Fourth)
• \( g \to h \): \( 3/2 \) (Perfect Fifth)
Under TRT, these are the exact mathematical intervals required to achieve zero boundary-layer drag in the Plenum.

2. The Official TRT Planet 'i' Prediction

Because TRAPPIST-1 rings as a continuous acoustic oscillator, its cymatic wave lattice cannot arbitrarily stop at planet 'h':

\[ P_i = P_h \times \frac{3}{2} = 18.77 \times 1.50 \approx 28.15\text{ days} \]

Or at the 4:3 interval:

\[ P_i = P_h \times \frac{4}{3} = 18.77 \times 1.333 \approx 25.02\text{ days} \]

TRT officially predicts that when deeper infrared transit surveys (e.g., JWST NIRSpec) resolve the outer system, an 8th planetary body will be discovered locked into this exact acoustic nodal position.