Chiral Resolution of Boundary Flow Pressure in Discrete Simplicial Spacetime

The discretization of spacetime into rational, simplicial geometriessuccessfully eliminates continuous irrationals (π) from boundary layer calcula-tions, allowing for a strictly quantized topology. However, when subjected tothermodynamic flow pressure, a perfectly symmetrical, rigid tessellation becomesstructurally unstable. Historically, stabilizing this lattice has required the intro-duction of static placeholders—such as the cosmological constant (Λ)—or em-beddings in the complex plane (√−1) to artificially force equilibrium.We propose that this instability is an artifact of assuming symmetric tension.This paper demonstrates that spacetime boundary layers possess an inherent ge-ometric chirality. By introducing a 120◦ topological phase shift paired with a10◦ manifold tension, we establish a strict topological winding order (a trinarydiscrete phase-state). In this chiral framework, the flow pressure dictates its ownrouting. The rigid geometric matrix dynamically rotates to absorb the stress, nat-urally resolving the boundary equations. This structural self-regulation rendersstatic cosmological constants and imaginary numbers mathematically obsolete,proving that discrete topology, when given chirality, behaves as a self-balancingorganic waveguide.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-26
DOI
https://doi.org/10.5281/zenodo.21608798
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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article

Chiral Resolution of Boundary Flow Pressure in Discrete Simplicial Spacetime

Justin D Grimm
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

Chiral Resolution of Boundary Flow Pressure in Discrete Simplicial Spacetime

Justin D Grimm
article en

Abstract

The discretization of spacetime into rational, simplicial geometriessuccessfully eliminates continuous irrationals (π) from boundary layer calcula-tions, allowing for a strictly quantized topology. However, when subjected tothermodynamic flow pressure, a perfectly symmetrical, rigid tessellation becomesstructurally unstable. Historically, stabilizing this lattice has required the intro-duction of static placeholders—such as the cosmological constant (Λ)—or em-beddings in the complex plane (√−1) to artificially force equilibrium.We propose that this instability is an artifact of assuming symmetric tension.This paper demonstrates that spacetime boundary layers possess an inherent ge-ometric chirality. By introducing a 120◦ topological phase shift paired with a10◦ manifold tension, we establish a strict topological winding order (a trinarydiscrete phase-state). In this chiral framework, the flow pressure dictates its ownrouting. The rigid geometric matrix dynamically rotates to absorb the stress, nat-urally resolving the boundary equations. This structural self-regulation rendersstatic cosmological constants and imaginary numbers mathematically obsolete,proving that discrete topology, when given chirality, behaves as a self-balancingorganic waveguide.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 9%
Cosmology and Gravitation Theories
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