The Constant Δ𝐻 Principle: Quantized Potential Differences as the Origin of Time, Matter, and Observable Fields

The Constant Δ𝐻 Principle: Quantized Potential Differences as the Origin of Time, Matter,and Observable FieldsWe propose the Constant Δ𝐻𝑓𝑖𝑒𝑙𝑑 Principle: that all physical systems must possess a non-zerominimum energy difference Δ𝐻𝑓𝑖𝑒𝑙𝑑 = 𝐸𝑏𝑎𝑟𝑟𝑖𝑒𝑟 − 𝐸0 between two resolvable states. We showthat the Heisenberg Uncertainty Principle, Δ𝐸 ⋅ Δ𝑡 ≥ℏ2, emerges geometrically from theboundedness of this interval. Macroscopic entropy is shown to arise statistically from theensemble of microstate Δ𝐻 − 𝑓𝑙𝑖𝑝𝑠, unifying information theory 𝐼 = − ∑ 𝑝𝑖𝑙𝑜𝑔𝑝𝑖 withthermodynamics 𝑆 = 𝑘𝐵 ln𝛺. We present three falsifiable predictions: 1. A minimum energygap in all systems, 2. A frequency cutoff for interactions, and 3. The origin of 1/𝑓 noise inunresolved Δ𝐻 flips. Applications are discussed for quantum computing, where decoherenceis an unwanted Δ𝐻 flip; for cosmology, where Dark Energy is the sum of vacuum Δ𝐻; and formaterials, where band engineering is Δ𝐻 engineering. This work reframes physics from thestudy of "what is" to the study of "the difference between". It suggests that reality, time, andinformation are consequences of a fundamental, conserved interval.Keywords: Uncertainty Principle, Quantum Foundations, Information Theory, Entropy,Decoherence, Dark Energy