The Law of Variable Inertial Mass (LVIM) Vacuum-Dependent Inertial Dynamics as an Experiment-Anchored Effective Physical Law Final Canonical International Edition — Version 3.0

🔹 PART 1 ZENODO DESCRIPTION FINAL CANONICAL INTERNATIONAL EDITION (VERSION 3.0) This record presents the Final Canonical International Edition (Version 3.0) of “The Law of Variable Inertial Mass (LVIM)”, a rigorously formulated, experiment- anchored effective physical law proposing a minimal and testable coupling between inertial mass and locally renormalized quantum-vacuum structure. Version 3.0 fully supersedes all previous releases (V1.0, V2.0) and is designated as the permanent archival reference for all future scientific citation, replication, and experimental evaluation. -------------------------------------------------- AUTHORSHIP & CANONICAL STATUS -------------------------------------------------- Author: Dr. B. Mazumdar ORCID: 0009-0007-5615-3558 Affiliation: Independent Researcher Authorship: Sole Author License: CC-BY-4.0 International The author assumes full intellectual responsibility for the scientific content, scope, assumptions, and limitations of this work. -------------------------------------------------- SCIENTIFIC SCOPE AND CONTRIBUTION -------------------------------------------------- LVIM introduces a conservative, Lorentz-invariant, and EFT-consistent extension of inertial dynamics, schematically expressed as: m_i(x) = m_0 [ 1 + Σ α_n Φ(x)^n ], Φ(x) → 0 in homogeneous vacuum In this framework, inertial mass acquires a small, locally defined dependence on renormalized vacuum structure, while exactly reproducing standard Newtonian and relativistic inertia in the appropriate limits. The framework: • Preserves Lorentz invariance, CPT symmetry, conservation laws, and the Weak Equivalence Principle • Does not modify gravity or cosmology and remains compatible with General Relativity and ΛCDM • Is formulated strictly as an effective field-theoretic description with an explicit domain of validity and cutoff -------------------------------------------------- EXPERIMENTAL ANCHORING AND FALSIFIABILITY -------------------------------------------------- LVIM is explicitly falsifiable. Primary experimental channel: • Casimir-gradient–induced inertial shift with characteristic d^(-4) scaling Secondary channels: • Precision MEMS/NEMS oscillators • Atom and neutron interferometry Both positive detections and null results are scientifically meaningful. Null results yield quantitative upper bounds on coupling parameters. -------------------------------------------------- DOCUMENT STRUCTURE AND TECHNICAL RIGOR -------------------------------------------------- • Complete canonical front matter with scope boundaries and non-claims • Nine structured Parts covering foundations, formal law, dynamics, relativity, gravitation limits, experiments, falsification logic, and interpretation • Seven technical appendices including mathematical derivations, renormalization analysis, sensitivity estimates, and reproducibility notes The presentation is equation-driven, internally consistent, and reviewer-safe. -------------------------------------------------- POSITIONING AND PURPOSE -------------------------------------------------- • Addresses the conceptual question of the physical origin of inertia • Proposes a minimal extension, not an alternative, to established physics • Makes no technological, propulsion, or energy-extraction claims • Intended exclusively for fundamental physics research and experimental testing -------------------------------------------------- VERSION LINEAGE (PERMANENT RECORD) -------------------------------------------------- V1.0 — Jan 8, 2026 — DOI: 10.5281/zenodo.18187158 V2.0 — Jan 9, 2026 — DOI: 10.5281/zenodo.18188109 V3.0 — Jan 10, 2026 — DOI: 10.5281/zenodo.18198032 -------------------------------------------------- USAGE AND CITATION -------------------------------------------------- Licensed under CC-BY-4.0 International. Free for academic use, peer review, replication, and critical analysis. Citation of Version 3.0 is required for all future references. This record constitutes the sole canonical archival reference for the Law of Variable Inertial Mass. 🔹 PART 2 FULL LaTeX SOURCE 👉 File: lvim_zenodo_canonical_description.tex \documentclass[12pt]{article} \usepackage[a4paper,margin=1in]{geometry} \usepackage{amsmath,amssymb} \usepackage{hyperref} \begin{document} \begin{center} {\LARGE \textbf{The Law of Variable Inertial Mass (LVIM)}}\\[6pt] {\large Final Canonical International Edition — Version 3.0}\\[6pt] DOI: \href{https://doi.org/10.5281/zenodo.18198032}{10.5281/zenodo.18198032} \end{center} \section*{Canonical Description} This document represents the \textbf{Final Canonical International Edition (Version 3.0)} of \emph{The Law of Variable Inertial Mass (LVIM)}, a rigorously formulated, experiment-anchored effective physical law proposing a minimal and testable coupling between inertial mass and locally renormalized quantum-vacuum structure. \section*{Authorship} \begin{itemize} \item Author: Dr. B. Mazumdar \item ORCID: 0009-0007-5615-3558 \item Affiliation: Independent Researcher \item License: CC-BY-4.0 International \end{itemize} \section*{Formal Law} \[ m_i(x) = m_0 \left[ 1 + \sum_{n=1}^{\infty} \alpha_n \Phi(x)^n \right], \qquad \Phi(x) \rightarrow 0 \] \section*{Scientific Properties} \begin{itemize} \item Lorentz invariant and CPT consistent \item Preserves the Weak Equivalence Principle \item No modification of gravity or cosmology \item Effective field-theoretic formulation with explicit validity bounds \end{itemize} \section*{Experimental Testability} Primary test channel: Casimir-gradient-induced inertial shift with $d^{-4}$ scaling. Null results provide quantitative bounds on coupling parameters. \section*{Version Lineage} V1.0 (Jan 8, 2026) — DOI: 10.5281/zenodo.18187158\\ V2.0 (Jan 9, 2026) — DOI: 10.5281/zenodo.18188109\\ V3.0 (Jan 10, 2026) — DOI: 10.5281/zenodo.18198032 \end{document} 🔹 PART 3 FULL PYTHON AUTOMATION CODE (Generate .txt, .md, .tex in one run) 👉 File: generate_lvim_zenodo_package.py from pathlib import Path zenodo_description = """FINAL CANONICAL INTERNATIONAL EDITION (VERSION 3.0) The Law of Variable Inertial Mass (LVIM) Final Canonical International Edition — Version 3.0 DOI: 10.5281/zenodo.18198032 Author: Dr. B. Mazumdar ORCID: 0009-0007-5615-3558 Affiliation: Independent Researcher License: CC-BY-4.0 International LVIM proposes a conservative, Lorentz-invariant, EFT-consistent extension of inertial dynamics with explicit experimental falsifiability. """ latex_source = r""" \documentclass{article} \begin{document} Final Canonical International Edition — LVIM Version 3.0 \end{document} """ Path("zenodo_description.txt").write_text(zenodo_description, encoding="utf-8") Path("zenodo_description.md").write_text(zenodo_description, encoding="utf-8") Path("zenodo_description.tex").write_text(latex_source, encoding="utf-8") print("Generated files:") print("- zenodo_description.txt") print("- zenodo_description.md") print("- zenodo_description.tex")