From Conservation to Curvature — A Trilogy Rewriting the Foundations of Spacetime Geometry - explanation

Title:From Conservation to Curvature — A Trilogy Rewriting the Foundations of Spacetime Geometry Author:J. P. Blankert, PhD — Blankert Consultancy B.V., NetherlandsORCID 0000-0001-5955-580XEmail: [email protected] Date: 26 October 2025DOI: 10.5281/zenodo.17451398 (replaces 10.5281/zenodo.17450917) Abstract This publication summarises a three-part theoretical trilogy that re-imagines the relationship between spacetime geometry, gravitation, and matter-conservation.Together, the papers propose that local conservation, not geometry, is the primitive physical rule from which spacetime structure emerges. The trilogy reverses the classical Einsteinian logic — instead of geometry imposing conservation, conservation imposes geometry.This conceptual inversion leads to a coherent framework that connects differential geometry, variational mechanics, and field theory into a single conservation-based picture of spacetime. I sollicit for feedback: peer-reviewers and experimental physicists. The trilogy consists of: From Einstein and Noether to the Local Conservation PostulateDOI 10.5281/zenodo.17451469 From Conservation to Curvature: How a Single Postulate Derives Einstein’s GravityDOI 10.5281/zenodo.17430288 Metric–Induction Fold: A Variational Completion of the Conservation Postulate and a Linearised Deviation from General RelativityDOI 10.5281/zenodo.17444154 Each paper contributes a distinct step: from conservation-defined tensors, to the derivation of curvature, to an experimentally testable Fold mechanism predicting measurable deviations from GR.The author invites peer review and collaboration with experimental physicists to validate or falsify these predictions. Keywords Local Conservation Postulate of Action Emergent Spacetime Metric–Induction Fold Einstein Field Equations General Relativity (Deviation Tests) Variational Mechanics Tensor Structure of Spacetime Conservation → Geometry Mapping Coherence Field Dynamics Quantum Gravity Foundations