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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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A Parameter-Free Einstein–Hilbert Coefficient from a Sink-Current Endurance Ledger

Authors: Attar, Ali;

A Parameter-Free Einstein–Hilbert Coefficient from a Sink-Current Endurance Ledger

Abstract

Abstract. We derive the Einstein–Hilbert action coefficient parameter-free from the Quantum Traction Theory (QTT) endurance ledger. The QTT-native theorem is a sink-current derivation: axioms A1/A2/A6/A7 fix the space-quantum volume VSQ = 4πℓ3, the tick ẃ = ℓ/c, the mass quantum ṛ = ħ/(cℓ), and force the no-knob constitutive projection gN = (c/ℓ)Jend from endurance flux to acceleration. Combined with the A2 sink continuity law, this gives Newton–Poisson with G = ℓ2c3/ħ. The continuum-geometric layer is stated separately: in a coarse-grained, manifoldlike, distinguishing limit, A1 causal order determines the conformal Lorentzian metric (Hawking–King–McCarthy / Malament), and the QTT four-volume count fixes its conformal factor. Locality, metricity, capacity regularity, and second-order infrared truncation then allow Lovelock uniqueness to select the Einstein tensor plus a metric term. Matching to the QTT Newton–Poisson limit fixes the bulk coefficient λ = c3/(16πG) = ħ/(16πℓ2), so that the local Einstein-gauge action is SEH = λ ∫ d4x √(–g) R. Scope. The paper does not claim global equivalence to vanilla general relativity. QTT retains an absolute background clock, an integrable-Weyl lapse φ, and a creation source C0(T) outside the local Einstein gauge — these are flagged as the discriminating cosmological content of the framework. Five concrete falsifiers are stated, tied to a one-ruler consistency requirement on ℓ. What is new in v1.2. A QTT-native no-knob constitutive projection lemma forcing the coefficient c/ℓ from A1/A6/A7 saturation alone. An explicit five-register table separating QTT-native theorems from imported continuum mathematics (causal reconstruction, Lovelock). A bridge-hypothesis statement for manifoldlike coarse-graining, flagged as the standard causal-set regularity problem rather than a proven theorem. A cross-domain one-ruler audit tying the gravitational ℓ to UV capacity, transport, and QED endpoints. A comparison-with-related-programs paragraph distinguishing the endurance-ledger route from causal-set, loop-quantum-gravity, and entropic-gravity derivations of G. Keywords. Einstein–Hilbert action, Newton's gravitational constant, quantum gravity, Quantum Traction Theory (QTT), endurance ledger, sink current, parameter-free derivation, Lovelock theorem, causal reconstruction, Hawking–King–McCarthy, Malament, Planck length, foundations of physics, microstructure of gravity, axiomatic physics. Submission target. Foundations of Physics (Springer); arXiv mirror: gr-qc primary, math-ph cross-list. Companion papers. This paper is part of the QTT corpus. Supplements: Quantum Traction Theory (framework manuscript, doi:10.5281/zenodo.17527179). Cross-references the omega-baryon paper (doi:10.5281/zenodo.20042421) for the cosmological non-equivalence falsifier.

Keywords

parameter-free derivation, Lovelock theorem, quantum gravity, general relativity, Quantum Traction Theory, Newton's gravitational constant, foundations of physics, QTT, Einstein-Hilbert action, modified gravity

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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!
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