Resolved Mysteries
Six foundational puzzles of physics are not mysteries in an elastic lattice — they are direct consequences of wave mechanics in a discrete medium.
Overview
Standard physics accumulates open problems because it treats particles as fundamental objects in an empty spacetime. When the medium is restored — a 3D elastic lattice with stiffness k, spacing a, and inertial density η — many of these problems dissolve without any new inputs. They were never deep mysteries; they were symptoms of a missing medium.
The Hierarchy Problem
The puzzle: Why is gravity 1036 times weaker than electromagnetism? The Standard Model has no explanation for this enormous gap.
GWT resolution: The gravitational coupling is αG = (mp/mPlanck)². The proton is a j0 standing wave with cavity radius Rc ≈ 0.88 fm — enormous compared to the lattice spacing a = 1.616×10−35 m. The ratio Rc/a ∼ 1020 means the proton’s wave energy is spread over ~1060 lattice bonds.
Gravity is weak because the proton is large. There is no hierarchy problem — there is a hierarchy fact, and the lattice explains it quantitatively.
The Strong CP Problem
The puzzle: QCD allows a CP-violating term θ in the Lagrangian. Experimentally, θ < 10−10. Why is it so small? The Standard Model invokes the Peccei-Quinn mechanism and a new particle (the axion).
GWT resolution: The lattice potential V(x) = (ka²/π²)[1−cos(πx/a)] is an even function. Even functions have no odd-power terms. The CP-violating parameter θ corresponds to an odd term in the potential — it is exactly zero by the symmetry of the medium.
No axions are needed. No Peccei-Quinn symmetry is needed. The lattice is simply symmetric.
The Information Paradox
The puzzle: If a black hole destroys information, quantum mechanics is violated. If it preserves information, how does it escape from behind the horizon?
GWT resolution: A black hole is an impedance gradient in the lattice — a region where node compression approaches Planck density. In GWT, “information” is just energy. The wave energy is compressed into a near-singular core, not destroyed.
As the black hole radiates, the compressed energy is released back into the lattice as traveling waves. There is no paradox because there is no energy destruction — only compression and re-emission.
Proton Stability
The puzzle: The proton lifetime exceeds 1034 years. Grand unified theories predict it should decay. Why is it so stable?
GWT resolution: The proton is a j0 standing wave — the fundamental spherical mode of the lattice, sin(r/Rc)/(r/Rc). This is the lowest-energy spherical waveform. There is nothing below it.
A j0 mode cannot decay because there is no lower spherical state to decay into. The proton lifetime is not merely long — it is infinite. Proton decay experiments will never observe a decay event.
The Arrow of Time
The puzzle: The microscopic laws of physics are time-reversible. Why does macroscopic time have a preferred direction? Boltzmann’s statistical argument requires the “Past Hypothesis” — an unexplained low-entropy initial state.
GWT resolution: The lattice grows by node creation. New nodes are born at the ground state (zero energy, same k, same a). While standing waves (matter) exist, this process is irreversible — wave dynamics drive continuous node creation.
Entropy in the lattice is simply node count. It increases monotonically while the lattice is active. Time’s arrow is not a statistical accident or a special initial condition — it is built into the expansion mechanism of the medium itself. No Past Hypothesis is needed.
However, the arrow is conditional: it holds while standing waves exist. When all standing waves have decayed, the elastic medium has no driver for expansion and contracts under its own stiffness. Traveling waves (light, gravitational radiation) remain and are compressed into an ever-smaller volume until all that energy is forced into a single standing wave — a singularity. The result is a new expansion: the next cycle.
Why 3+1 Dimensions
The puzzle: Why does the universe have exactly three spatial dimensions and one time dimension? String theory requires 10 or 11; the Standard Model simply assumes 3+1.
GWT resolution: Each node in the lattice can be displaced in three independent directions. These three displacement degrees of freedom correspond to the three generators of SU(3) in the fundamental representation. D = 3 is not assumed — it is the number of independent displacement channels of an elastic medium.
Time is the propagation direction — the axis along which wave disturbances evolve causally. It is orthogonal to the three spatial axes by construction. Combining them gives the Clifford algebra Cl(3,1), which produces the Dirac equation and its {γμ,γν} = 2gμν structure.
Summary
None of these resolutions require new particles, new symmetries, or new parameters. They follow from three constants — k, a, η — and the wave mechanics of an elastic lattice. The “mysteries” were artifacts of removing the medium from physics.