Earth G: Nested Contexts and a Fixed Cross-Scale Relation for Terrestrial Gravity
Year: 2026
Type: preprint
Abstract: Author preprint — manuscript v5.8. This is the manuscript record, not the already published research repository. It is not a statement of journal acceptance or peer-reviewed confirmation. Earth G proposes that physical scales and gravitational conditions express a common nested relational organization. Its starting point is fundamental relativity: participants and their settings are constituted through relations. An internally differentiated whole participates as one object-like individual within a containing network. For an observer belonging to that network, its participants and relations supply the objective environment, including the observer’s own embodied form. The containing whole also participates farther outward, connecting inward common conditions with wider relations. Cellular, integrated multicellular, and planetary life are biological representations of these roles. In the terrestrial specialization, the network supplying our objective domain is represented through Earth’s surface and its living network. This motivates relating terrestrial extent and gravitational conditions to inward and wider physical scales. An unweighted logarithmic balance gives an organizing reference; a directed scale comparison retains Earth’s placement. Earth G identifies that contrast with the sharp normalized potential-gradient bound of the complete spherical Earth. The coefficient-one identity is the physical hypothesis assessed here. A finite conditional construction gives joint scale–gravity outputs, with explicit calibration and selection premises. Its forward form specifies the gravitational requirement; its nominal Preliminary Reference Earth Model inverse gives approximately 94.303 billion light-years. Retained horizon reconstructions give close historical correspondence, broad density-route compatibility, and a precise Planck-conditioned mismatch under an explicit correspondence. The specification developed retrospectively. The contribution is an explanation of why these quantities belong together, a fixed quantitative relationship, and its conditional empirical assessment. Files: the manuscript PDF; matched Supporting Methods (Online Resource 1) PDF; and a metadata-only Repository Linkage Addendum v5.8. The separate computational archive remains Online Resource 2 v5.7. Data, code and conditional-model proofs: 10.6084/m9.figshare.34904214.v1. This v5.8 revision links repository identifiers without changing the equations, data or nominal results of v5.7. Related public resources: BioBand 10.6084/m9.figshare.34904187.v2; OSE 10.6084/m9.figshare.34905129.v1. These are data/code repositories, not the companion manuscript preprints. Inspected manuscript versions remain identified in the paper; the verified companion manuscript preprints are linked separately below. The supplied calculations and conditional finite construction retain the reproduction and physical-inference limits stated in the manuscript and supporting files. Repository publication does not supply unavailable original cosmological transformations or establish the physical premises of the conditional model.Reading and related workEarth G is the gravitational application in Bridge Theory. Read the synthesis for the framework connecting it to BioBand and OSE. Objectivity from Within develops the philosophical foundation.
Source: Figshare
Author: Kent Nimmo
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225188353