Spatial Nyquist-Shannon Sampling, Geometric Scale Invariance, and the Informational Bound of Spacetime: A Unified Framework for Gravitational Regularity and Galactic Dynamics

Spatial Nyquist-Shannon Sampling, Holographic Information Bound, Geometric Aliasing, Regular Black Holes, De Sitter Core, Singularity Resolution, Kretschmann Scalar, Ultraviolet Regularization, Wilson Lattice Loops, Gauge Invariance, Galactic Rotation Curves, Radial Acceleration Relation, SPARC Database, Baryonic Tully-Fisher Relation, Gaia DR3 Galactic Halo, Critical Acceleration a_0, Geometric Scale Operator Xi, Universal Baryon Fraction, Parameter-Free Cosmology

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-20
DOI
https://doi.org/10.5281/zenodo.22035450
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

Spatial Nyquist-Shannon Sampling, Geometric Scale Invariance, and the Informational Bound of Spacetime: A Unified Framework for Gravitational Regularity and Galactic Dynamics

Pi3 Andres G.
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

Spatial Nyquist-Shannon Sampling, Geometric Scale Invariance, and the Informational Bound of Spacetime: A Unified Framework for Gravitational Regularity and Galactic Dynamics

Pi3 Andres G.
preprint en

Abstract

Spatial Nyquist-Shannon Sampling, Holographic Information Bound, Geometric Aliasing, Regular Black Holes, De Sitter Core, Singularity Resolution, Kretschmann Scalar, Ultraviolet Regularization, Wilson Lattice Loops, Gauge Invariance, Galactic Rotation Curves, Radial Acceleration Relation, SPARC Database, Baryonic Tully-Fisher Relation, Gaia DR3 Galactic Halo, Critical Acceleration a_0, Geometric Scale Operator Xi, Universal Baryon Fraction, Parameter-Free Cosmology

Zenodo (CERN European Organization for Nuclear Research)
Institute of Theoretical Physics (CN)
Cosmology and Gravitation Theories
DOIOpen Access PDFOpenAlex
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