A Geometric Fluid Framework
for a Resonant Universe.
The Resonance Theory (TRT) models fundamental particles, nuclear stability, and cosmological structure as emergent acoustic standing waves in a compressible fluid plenum. Finite geometry, hard close-packing thresholds, and exact hydrodynamic conservation laws.
Core Architecture
A clean structural separation between formal mathematical foundations and interactive visual simulations.
The Canon
The formal mathematical foundation. Rigorous closed-form derivations of universal acoustic impedance \(A_{RT} = 50.412727\), the Carbon-12 vector equilibrium, and the Tammes 1-Radian Collapse threshold.
Interactive Lab
Hands-on visual simulations: explore the Acoustic Periodic Table, 3D sphere close-packing geometry, and the TRAPPIST-1 Laplace resonance chain with live interactive controls.
Canonical Constants Matrix
Click any constant card to copy the high-precision value to your clipboard. Derived directly from CODATA 2022 standards.
Master Monograph Series
Formal preprints and working monographs establishing the acoustic fluid framework.
The original foundational paper by Justin T. Miller deposited on the open-access Zenodo repository. Formulates the Quantum Plenum, substitutes the abstract scalar vacuum with the Tisza-Landau two-fluid model, and outlines the master proofs of universal acoustic impedance and nuclear binding.
Derivation of the universal acoustic impedance $A_{RT} = 50.412727$ and the Solar Differential Shear Limit ($\Theta_{\text{wind}} = 16,560^\circ$). Resolves the $710^\circ$ angular momentum deficit by predicting an outer wake mass of $12.32\text{--}15.50\ M_\oplus$.
Proves that the 20% interstitial void fraction ($\epsilon_{\text{eff}} = 0.200$) in FCC/HCP close packing acts as the requisite fluid pressure gradient sustaining the Hoyle state ($7.654\text{ MeV}$) and Carbon-12 kissing coordination ($\tau_3 = 12$).
Replaces the phenomenological Weak Force with geometric shear failure. Proves that packing a 13th nucleon forces angular spacing below $1\text{ Radian} = 57.2958^\circ$, triggering instantaneous alpha ejection.
A foundational historical review linking Drude's electrical conductivity ($J = \sigma E$) to acoustic velocity fields ($J = A_{RT} \cdot e$), honoring the transition from kinetic gas approximations to acoustic fluid mechanics.