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Other literature type . 2026
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2026
License: CC BY
Data sources: Datacite
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The Archimedean Quantum Gravity Equation

Authors: Knight, Christina Anne;

The Archimedean Quantum Gravity Equation

Abstract

Gravity in this framework is not curvature, not a field, and not a particle‑mediated force. It is the pressure response of a discrete substrate whose flux is displaced by matter. A mass creates a local pressure deficit; surrounding higher‑pressure regions push inward, producing Archimedean acceleration. The substrate cannot compress below the Planck scale and cannot update faster than tp=Lp/c, so gravitational influence is update‑limited and must be expressed per tick. These constraints force a single gravitational law: a(r) = -(c/rho) * (d/dr)[P_flux(r) - P_rep(r)]. . This is the quantum‑gravity equation of the discrete substrate: a finite‑difference pressure‑gradient law that replaces geometric curvature and remains valid down to the Planck length.

Keywords

gravitational mechanics, gravitational pressure, relativistic gravity, weak gravity, gravitational mass, gravitational gradient, gravitational redshift, vacuum energy, vacuum‑pressure gravity, analog gravity, gravitational substrate, alternative gravity, gravitational deficit, Archimedean gravity, flux‑lattice gravity, fluid‑mechanical gravity, vacuum structure, gravitational curvature, gravitational field, gravitational density, gravitational well, gravitational waves, gravitational response, tidal forces, gravitational flux, emergent gravity, mechanical gravity, gravitational collapse, gravitational acceleration, gravitational potential well, gravitational acceleration field, strong gravity, gravitational lensing, Archimedean buoyancy, gravitational flow, gravitational compression, gravitational interaction, gravitational potential, gravitational medium, emergent spacetime, gravitational interaction law, gravitational dynamics, vacuum pressure, gravitational environment, gravitational force, Nonperturbative Gravity, tidal gravity, discrete spacetime, buoyant gravity, discrete gravity, gravitational constant, gravitational structure, black holes, Newtonian gravity, Planck‑scale gravity, gravitational field strength, Pressure‑Gradient Gravity, displaced volume, quantum gravity, gravitational equilibrium, tension‑gradient gravity, gravitational tension, gravitons, gravitational time dilation, Archimedean displacement, gravitational dynamics model, gravitational binding energy

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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
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