Synchronized Orthogonal Boundaries and Entropy-Directed Energy Travel: From Atmosphere to Ocean to Lightning, Fluid-Geodynamo Coupling C=ϵA/d, \boldsymbol{L}=\boldsymbol{\mu }{\boldsymbol{N}}^{2}\boldsymbol{A}/\boldsymbol{l}, and Observer-Dependent Absolute Points via π-Incommensurability
Year: 2026
Type: preprint
Abstract: Synchronized Orthogonal Boundaries and Entropy-Directed Energy Travel: From Atmosphere to Ocean to Lightning, Fluid-Geodynamo Coupling , , and Observer-Dependent Absolute Points via -Incommensurability Michael Allan A. Bahtaji, Ph.D. Department of Physics, Technological University of the Philippines Ayala Boulevard, Ermita, Manila, Philippines, 1000 [email protected]; [email protected] Abstract: We extend the toy model , , , signature via -regularization , , interval Lean 4, and Penrose conformal , at , attachment, to full fluid-entropy travel. Lowest boundary : , , kidlat/light/sound adiabatic mechanical , , , fastest. Highest boundary : , , solids/mountains, , slowest. Energy travel boundary is not one-way: atmosphere (high ) ocean (medium ) water-to-air interface phase change mechanical adiabatic work kidlat/light/sound lowest . Direction set by : toward lowest (expansion, low pressure), toward highest (mountain building, collapse). Typhoon opposite Earth spin explained by sign: typhoon vs Earth Coriolis from high boundary. Geodynamo modeled as synchronized , , : electrical , ocean-atmosphere capacitor , , water dielectric , magnetic , Earth core coils , permeability , resonant , synchronized, . Unsynchronized , cause wrong-direction boson reversal at , , stabilized by , . No true absolute points due to -incommensurability — spiral on length , transcendental, , , . Absolute only observer-dependent when , , , . Using Lagrange multipliers , cost of constraint, exact boundaries determined, , at optimum. via wave function, PNT for counting indecomposable subspaces prime indecomposable, , for all states within boundary without molecule-by-molecule supercomputer, provided boundary known via from . Lean 4 formalization with interval and SPDE , . Safety: prevents BH seed on Earth; true collapse requires , , , only giant BH mergers. Keywords: entropy-directed flow, synchronization, energy travel atmosphere-ocean-lightning, typhoon-Earth spin, geodynamo , , PNT, Lagrange multiplier, -incommensurability, observer-dependent absolute, resonance, entanglement
Author: Bahtaji, Michael Allan
Language: English
Subfield: Atmospheric Science
Field: Earth and Planetary Sciences
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213523823