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Chiral Resolution of Boundary Flow Pressure in Discrete Simplicial Spacetime

Year: 2026
Type: preprint
Abstract: The discretization of spacetime into rational, simplicial geometries successfully eliminatescontinuous irrationals (π) from boundary layer calculations, allowing for a strictly quantizedtopology. However, when subjected to thermodynamic flow pressure, a perfectly symmetrical,rigid tessellation becomes structurally unstable. Historically, stabilizing this lattice has requiredthe introduction of static placeholders—such as the cosmological constant (Λ)—or embeddingsin the complex plane (√−1) to artificially force equilibrium.We propose that this instability is an artifact of assuming symmetric tension. This paperdemonstrates that spacetime boundary layers possess an inherent geometric chirality. By intro-ducing a 120◦ topological phase shift paired with a 10◦ manifold tension, we establish a stricttopological winding order (a trinary discrete phase-state). In this chiral framework, the flowpressure dictates its own routing. The rigid geometric matrix dynamically rotates to absorb thestress, naturally resolving the boundary equations. This structural self-regulation renders staticcosmological constants and imaginary numbers mathematically obsolete, proving that discretetopology, when given chirality, behaves as a self-balancing organic waveguide.
Language: English
Open Access status: green
OpenAlex ID: W7171311162
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