The Planck Scale from the GDUM Perspective

In the mainstream quantum-gravity paradigm, the entire set of Planck-scale quantities is granted a foundational boundary status: it marks where “classical spacetime fails” and “quantum-gravitational degrees of freedom switch on.” Under the GDUM layered architecture, however, all Planck indicators are merely secondary characteristic scales derived in the representational layer from the combined topological-residue constants {G, ℏ, c}. They are not primitive axiom parameters of the programmatic layer, they do not constitute a fundamental cutoff of spacetime ontology, and they are not a threshold for the onset of quantum gravity. The underlying programmatic layer of GDUM contains only the ℤ₂ double cover, Deck transformations, the Pinᶜ(2) orientation structure, and topological winding W_K; it contains no dimensional physical quantities such as length, time, energy, or mass. All Planck scales are representational-layer concepts derived only after topological flux is projected onto four-dimensional Lorentzian spacetime.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-14
DOI
https://doi.org/10.5281/zenodo.23354142
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The Planck Scale from the GDUM Perspective

Gao Chenghua
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
article

The Planck Scale from the GDUM Perspective

Gao Chenghua
article en

Abstract

In the mainstream quantum-gravity paradigm, the entire set of Planck-scale quantities is granted a foundational boundary status: it marks where “classical spacetime fails” and “quantum-gravitational degrees of freedom switch on.” Under the GDUM layered architecture, however, all Planck indicators are merely secondary characteristic scales derived in the representational layer from the combined topological-residue constants {G, ℏ, c}. They are not primitive axiom parameters of the programmatic layer, they do not constitute a fundamental cutoff of spacetime ontology, and they are not a threshold for the onset of quantum gravity. The underlying programmatic layer of GDUM contains only the ℤ₂ double cover, Deck transformations, the Pinᶜ(2) orientation structure, and topological winding W_K; it contains no dimensional physical quantities such as length, time, energy, or mass. All Planck scales are representational-layer concepts derived only after topological flux is projected onto four-dimensional Lorentzian spacetime.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 13%
Noncommutative and Quantum Gravity Theories
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.