Philosophical and Physical Implications of a "Printed" Universe
The notion of a printed universe challenges conventional narratives of cosmic emergence. Instead of a cosmos evolving purely through time-bound, thermodynamically driven processes, we consider the possibility that spatial geometry precedes temporal development in determining cosmic structure.
This reframing brings several implications:
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Causality may be partially replaced by constraint-based emergence, where form is a consequence of resonance rather than interaction.
Multiverse models may be recast not as random trials but as a gallery of possible harmonic templates, each shaped by different boundary topologies.
Entropy and information must be reconsidered: the early universe may have been low in entropy and high in geometric information content.
From a metaphysical standpoint, this view resonates with Platonist notions: structure exists not merely as an accident of evolution, but as the unfolding of an inherent order.
Taken together, these insights suggest that the CDM + inflation model might represent a low-resolution approximation of a deeper geometric and harmonic architecture---one which calls for a synthesis of general relativity, wave physics, and quantum information in describing cosmic genesis.
3. Mathematical Formulation of Resonant Spacetime
3.1 Spacetime Manifold and Boundary Conditions
Let us begin with a four-dimensional Lorentzian manifold (M, g_{\mu\nu}) representing the spacetime fabric, with metric tensor satisfying Einstein's field equations. The early universe is modeled as a compact (possibly multiply-connected) Riemannian 3-manifold , embedded in the full spacetime, that serves as a resonant cavity.
