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On the Exponential Relaxation Limit of Vacuum Pressure Invariants and the Hydrodynamic Origin of Euler’s Number
2026-08-11
Within the framework of the Fermionic Universe Hypothesis (FUH) and Project OCEAN, the physical vacuum is treated as a viscous fermionic condensate (VFC). This research note demonstrates that the phenomenological calibration constants regulating the background vacuum pressure P_ψ and the localized soliton pressure P local are governed by a strict exponential decay invariant. By applying a scale-space inversion layout, we show that the non-linear coupling of these macroscopic and microscopic pressure mantissas converges precisely to the classical relaxation quantum (1 – e^-1) ≈ 0.63212. Consequently, Euler's number 2.71828 emerges not as an arbitrary mathematical abstraction, but as a rigid hydrodynamic invariant defining the ultimate relaxation threshold of the vacuum lattice.
Ссылка для цитирования:
Shlyapik A. 2026. On the Exponential Relaxation Limit of Vacuum Pressure Invariants and the Hydrodynamic Origin of Euler’s Number. PREPRINTS.RU. https://doi.org/10.24108/preprints-3116140
Список литературы
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