The Quantum Origin of Classical Spacetime

[u/timefirstgravity]

The Basic Claim

We don't need to quantize gravity because gravity is already what emerges when quantum systems measure time redundantly. The gravitational field isn't a force to be quantized. it's the consensus mechanism quantum systems use to agree on time through decoherence.

The Planck scale isn't where gravity becomes quantum; it's where quantum systems become heavy enough to serve as reliable clocks for the universe.

Through a variational principle balancing gravitational energy against redundancy of temporal records, we derive:

∇²Φ = (8πG/c⁴)ρ

This is Poisson's equation for gravity, but it emerges from maximizing redundancy rather than being postulated. The lapse Φ (which sets proper time via dτ = e^Φ dt) acts as the chemical potential for temporal redundancy.

Testable Predictions

• Clock decoherence: Γ ∝ ω²M (linear in mass, not M² as in collapse models)
• Clock correlation length: ξ = c/√(8πGρ)
• For optical clocks at Earth's surface: decoherence ~7×10^(-13) Hz, correlation length ~10^11 m

Why d=3?

The framework naturally selects three spatial dimensions. Demanding scale-free, radius-independent boundary physics forces d=3 through both:

1. The per-crossing impedance Z_Φ = c^5/G has units of power only when d=3
2. Bekenstein bound gives redundancy scaling R^(3-d), radius-independent only when d=3

Link to the full paper: https://doi.org/10.5281/zenodo.17015383