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NEWTON, EINSTEIN, AND PLANCK'S COMMON LANGUAGE F=ma, E=mc², and the Factorial Roots of Quantum Uncertainty.

Hakan ÜNAL

Published Dec 25, 2025• 0 citations
Publisher
DOI
10.5281/zenodo.18053441

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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. 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.they may represent arbitrarily assigned values within the universe,but must be preserved through space and time by definition of the consistency laws.
We derive the discreteness of time from two empirically established results of Einstein (1905): the photoelectric effect (energy is quantized) and special relativity (time is relative to the observer's frame). The Planck–Einstein relation E=hf and mass–energy equivalence E=mc2 jointly yield a characteristic frequency f=mc2/h and a minimum temporal resolution T=h/mc2 for any energy packet of rest mass m. Combined with a principle of ontological parsimony excluding unobservable continuous background time , we propose that time does not exist as a continuous substrate but emerges as the discrete sequence of causal interaction events between energy packets.
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