Published September 2025 | Version v3
Preprint Open

sPaceNPilottime (sPNP): Fisher Curvature

Creators

Description

Conceptual sketch of sPaceNPilottime, a novel framework exploring the interplay between configuration-space dynamics and the emergence of spacetime structure. Building on pilot-wave theory and the Fisher Information Metric, the approach emphasizes trajectories of real particles guided by underlying geometric constraints, where the quantum amplitude induces a natural Fisher Curvature that equates to spacetime curvature. Fisher Curvature works well with Bohmian Mechanics (amplitude R and phase S separate) but can also be applied to other quantum interpretations (i.e. MWI, branches with QFI geometry on R and S).  The sketch highlights how temporal flow, continuity, and nonlocal correlations may arise from state-dependent geometry, offering an intuitive pathway toward unifying quantum evolution with emergent relativistic spacetime. Additional mathematical formulations and developments are available upon request.

Files

Files (147.6 kB)

Name Size Download all
md5:dc1b72a6a04d433ddcf22b20979441bc
147.6 kB Download