Lattice-Field Medium (LFM): A Deterministic Lattice Framework for Emergent Relativity, Gravitation, and Quantization — Phase 1 Conceptual Hypothesis v1.0

This deposit presents the foundational hypothesis and Phase 1 design of the Lattice-Field Medium (LFM) — a deterministic lattice model proposing that relativity, gravitation, quantization, and cosmic expansion all emerge from one discrete field law.

LFM treats spacetime as a lattice of interacting energy cells governed by the canonical equation
∂²E/∂t² = c²∇²E − χ(x,t)²E, with c² = α/β.
In the continuum limit, this rule reproduces the variable-mass Klein–Gordon equation and yields Lorentz symmetry, inertial effects, and quantized energy exchange as emergent phenomena.

Version 1.0 represents the Conceptual Hypothesis Release — the complete theoretical and architectural framework for Tier 1–3 proof-of-concept validation. Numerical test results and proof-packet data will appear in later versions once validation is complete.

Included materials:
• LFM Master v2.1 (conceptual framework)
• LFM Core Equations v1.1 (canonical PDE and discrete update law)
• LFM Phase 1 Test Design v2.1 (reproducibility architecture)
• LFM Test Plan.xlsx (validation criteria and seeds)
• README_LFM_Zenodo.txt (summary and directory map)

This release establishes public authorship, theoretical transparency, and reproducibility infrastructure for the LFM research program.
All content is distributed under CC BY-NC 4.0 International (non-commercial use with attribution).