Quantum mechanics reconstructed from global coherent standing waves on a compact cosmic manifold
Abstract
Quantum mechanics is the most precisely confirmed theory in physics, yet its central equation is an unexplained postulate, and its description of matter has never been connected to the dark components that dominate the universe. Independently, mathematics has long hinted that the zeros of the Riemann zeta function form the spectrum of an unidentified physical operator. Here we show that a standing-wave first principle—every elementary physical entity is a globally coherent standing-wave mode on a compact cosmic manifold—combined with the established empirical relations E=ℏω and p=ℏk and the standard non-relativistic energy balance, reconstructs the core structure of quantum kinematics, including the Schrödinger equation, the discreteness of quantum spectra, and the stability of quantum states; the reconstruction thus rests on these empirical inputs together with the standing-wave postulate, not on a single principle alone. A further, explicitly conjectural clause identifying the admissible spectrum with the Riemann zeros suggests interpreting ordinary matter, dark matter, and dark energy as three tiers of one spectral ladder, pending the construction of a dynamical coupling mechanism. The energy fractions of the three tiers, evaluated with the standard regulator schemes of quantum field theory, agree with cosmological measurements to within 0.2 percentage points at a fitted regulator scale—a threshold- and scheme-dependent consistency check rather than a parameter-free…
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