A Reconstruction Approach to the Schrödinger Equation via the principle of consistency-PART I: CLASSICAL MECHANICS

This paper proposes a novel framework to derive all known laws of physics from a single foundational principle: the *Law of Consistency*, introduced in Section 2 and elaborated in Section 7. By applying this law to symmetric states and conditions—regardless of the method of execution—it becomes possible, through pure mathematical reasoning, to reconstruct both classical mechanics (as developed by Isaac Newton) and, more significantly, quantum mechanics. Quantum mechanics is reinterpreted in this paper under a new conceptual framework rooted in consistency, providing coherent explanations for key phenomena such as entanglement, decoherence, wave function collapse, interference, the Pauli exclusion principle, and others. The principle of consistency is also extended to the domain of special relativity and shown to underlie its transition into general relativity. Some well-known equations (e.g., *E = mc²*) are re-derived, not for novelty, but to emphasize their foundational basis in the proposed axioms of consistency (Axioms 1 and 2) and logical deduction. Constants of nature (e.g., Planck's constant, *G*, *k*, etc.) are not addressed in this work. It is argued that they may represent arbitrarily assigned values within the universe, preserved through space and time by definition and by the consistency law