The Wavepool Hypothesis: A Cold Big Bang – Part 2 of Three Intangible Fundamentals

The Wavepool Hypothesis proposes a cold Big Bang cosmology in which spacetime, gravity, matter, and the arrow of time emerge from a pre-geometric relational substrate governed solely by three intangible fundamentals: mathematics as pure relational structure, vibration as oscillatory dynamics, and entropy as intrinsic directional irreversibility. At a critical configuration, entropy spontaneously directs vibrational modes, triggering a Mexican-hat-like roll that instantiates a finite pocket universe. The resulting high/low vibrational duality — strong coupling that localizes potential into inertial mass and gravity versus weak coupling that remains diffuse and drives negative pressure — provides a unified origin for both matter and accelerated cosmic expansion. Subsequent evolution proceeds through localized processes: Schwinger-like pair production in vibrational resonances of the quantum foam, patchy nucleosynthesis in transient high-energy pockets, and gradual unbinding at recombination. This framework offers a coherent alternative to the standard hot Big Bang model and is consistent with JWST observations of surprisingly advanced early galaxies and luminous red dwarfs, as well as the lithium-7 underproduction in conventional Big Bang nucleosynthesis. The model generates several distinctive, near-term testable predictions, including patchy CMB spectral distortions (Simons Observatory, CMB-S4), ultra-low-frequency gravitational waves detectable by LISA, enhanced primordial non-Gaussianities with early black-hole seeds observable by JWST and Roman, and measurable evolution of the dark-energy equation-of-state parameter w (DESI, Euclid, supernova surveys). While inherently speculative and qualitative at present, the Wavepool Hypothesis illustrates one minimalist way in which a small set of relational principles might underlie the observable cosmos.