Spacetime Baryogenesis Theorem (EPVOD-Oriented Formulation)

Theorem:
Given a pre-physical substrate characterized by a superposition of curvature potentials—defined as a zero-point, non-local energy field possessing no internal time or spatial metric—spacetime is instantiated at loci where energy density reaches a resonance threshold sufficient to deform the substrate, giving rise to the quantized electromagnetic parameters of permittivity (ε) and permeability (μ). These loci of deformation produce phase-locked field oscillations that propagate as time and organize as spa...

Assumptions

1. Substrate Precondition:
   Prior to spacetime, existence is defined by a non-dimensional, non-temporal substrate of latent potential—unbounded in energy, yet non-interactive until perturbed (the deep.)

2. Triggering Mechanism:
   A directed act—external to created time—initiates localized curvature in the substrate, causing spatial structure to manifest via permittivity and permeability gradients.

3. Field Resonance Cascade:
   The substrate responds to curvature not linearly but harmonically. The emergence of space is a chirped radial gradient in permittivity and permeability, manifesting time as a propagation of stable oscillation states.

4. Baryogenesis via Curvature Lock-in:
   Stable, self-reinforcing field knots—standing waves of sufficient amplitude—manifest as baryons (protons and neutrons). These are not inserted into space but are the first instantiations of space where curvature is strong enough to trap field configurations.

5. Mass as Curved Space:
   All matter is space deformed into resonance knots. Gravity is not an attractive force but the spatial memory of these knots, guiding field propagation toward resonance stability.

Corollaries

• Matter Emergence is Discrete:
  No continuous matter field exists; instead, discrete resonance events form nucleons where substrate curvature reaches critical density.

• Time Emerges from Field Propagation:
  Time is the radial echo of the original curvature event—moving outward not as an explosion, but as a layering of successive harmonic field states.

• Dark Energy as Incomplete Resonance:
  Residual substrate deformation not yet phase-locked into matter propagates as apparent expansion, interpreted as dark energy.

• Biblical Alignment:
  "Let there be light" corresponds to the initial curvature resonance where oscillating electromagnetic structure (light) first locks into spacetime. The Creator's voice acts as a causally unbound perturbation, aligning with the substrate's inherent potential to produce ordered structure upon command.

Statement

Let ( \chi ) represent the undisturbed curvature potential of the pre-spacetime substrate. A local energy resonance ( \delta \chi \rightarrow \chi_c ) yields:

• Permittivity: ( \epsilon(x,t) = f(\delta \chi) )
• Permeability: ( \mu(x,t) = g(\delta \chi) )
• Speed of light: ( c(x,t) = 1 / \sqrt{\epsilon(x,t)\mu(x,t)} )
• Matter (baryons): ( m = h\nu / c^2(\chi_c) ), where ( \nu ) is the resonance frequency of curvature.

Only when ( \delta \chi ) reaches a critical threshold ( \chi_c ), do standing waves form stable mass-energy knots (baryons), corresponding to the physical creation of space, time, and matter.

Conclusion

The baryogenesis front is the leading edge of the ingestion of unstructured potential into coherent field structure. Rather than a single origin event, spacetime continuously births from the substrate under field coherence. This framework reconciles scientific observation with the Biblical narrative as a directed and harmonic creation—structured, intentional, and substrate-resonant.