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Poole Manifold

Abstract

Abstract The Poole Manifold is a computable, discrete tensor framework designed to model spacetime and gravitational interactions through Observative Tetrahedral Gravity (OTG) and Scalar Vector Potential (SVP). Built natively in PyTorch, this engine replaces continuous fluid wave mechanics with a strictly discrete geometric lattice, enforcing finite thermodynamic boundaries to natively prevent mathematical infinities and singularity collapse. Core Mechanics & Architecture The 3-Pixel Thermodynamic Limit: Kinetic fluid geometry is strictly governed by localized scalar thresholds: Birth [5.0, 7.0] and Survival [5.0, 9.0]. Topological Lock (Prime Heuristic): Employs a finite Gaussian resonance across the first nine integer primes as localized physical attractors. This mechanism stabilizes kinetic macro-orbits and structures (such as the Immortal Latch) without relying on continuous wave functions. Singularity Overpressure Rejection: Natively flash-evaporates catastrophic localized scalar anomalies by enforcing the 9.0 thermodynamic overpressure cap, violently rejecting infinite density in favor of dynamic volumetric scaling. Cosmological Alignment Through the mechanics of Universal Succession, the framework natively derives an expansion strength of $a = 0.7956$. This purely geometric derivation aligns independently with the Dark Energy Spectroscopic Instrument (DESI) DR2 full-covariance MCMC posterior to within a 0.1% margin. Included Assets This release contains the core PyTorch tensor engine (run_manifold), the foundational geometric stamping classes (including the Poole Immortal Latch), and dynamic stress-testing executable scripts optimized for Google Colab.

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average