sPaceNPilottime (sPNP): Fisher Curvature
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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.
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