Resonant Spacetime Hypothesis 2.0

3. Spiral Harmonics: Eigenmodes \(\psi_{nlm} \propto e^{im\phi + \beta \ln r}\) fix structure scales through logarithmic phase coherence.  

Naturalness  

- No Inflaton: Structure seeds emerge from spacetime's intrinsic geometry, avoiding the need for a finely tuned scalar field.  

- Predictive Power: Eigenfrequencies (\(\lambda_n \sim n^{D/3}\)) directly set galaxy masses and void sizes, eliminating multiverse degeneracy.  

- Low Entropy: The ordered eigenmode spectrum naturally explains the early universe's low-entropy state, aligning with the second law of thermodynamics.  

Quantum Gravity: Holography and Boundary Data

RSH aligns with holographic principles by treating spacetime eigenmodes as projections of boundary data 

1. Holographic Encoding: The compact boundary (e.g., initial singularity) encodes all bulk information via eigenmode quantization.  

   - Example: Solutions to \(\Box_g \Phi = 0\) on a 3-torus depend solely on boundary-periodic conditions, akin to AdS/CFT's bulk-boundary duality.  

2. Quantum Gravity Links 

   - Loop Quantum Cosmology: Discrete spacetime quanta support resonant eigenmodes, avoiding singularities.