What question did this study set out to answer?

The study aims to develop the A2 Law of Endurance within the context of Einstein-field dynamics in Quantum Traction Theory (QTT).

June 21, 2026Open Access

Artian A2 Endurance to Einstein-Field Dynamics

Key Points

The study aims to develop the A2 Law of Endurance within the context of Einstein-field dynamics in Quantum Traction Theory (QTT).
Developed source-to-shadow equation illustrating gravity as an emergent effect.
Incorporated finite capacity-core and bounce admissibility classes in the framework.
Analyzed black-hole dynamics and infrared metric behavior under specific criteria.
Gravity is shown to be an emergent effect rather than a fundamental field.
New formulations established for black-hole evaporation and greybody access transfer.
The framework allows recovery of Einstein's equations while accounting for quantum effects.

Abstract

Artian A2 Endurance to Einstein-Field Dynamics Version: 3. 0Concept DOI: 10. 5281/zenodo. 20763263Author: Ali AttarWebsite: quantumtraction. org This paper develops the A2 Law of Endurance into the infrared Einstein-field dynamics of Quantum Traction Theory (QTT). The central source-to-shadow equation is \ G_[g ₈ₑ+₀₃g_ = 8 GAc⁴T_^A2, GA=²c³. \] Version 3. 0 keeps the earlier infrared closure and finite-address correction map, then makes the source ontology explicit: QTT denies the human-invented smooth-continuum universe as source ontology, and QTT denies the graviton as a source object. In this framework gravity is an emergent A2 ledger effect, not a fundamental field whose quanta must be found. The burden carried by the theory is the emergent-gravity burden: recover Einstein's equations and account for gravity-related quantum phenomena as substrate effects. Version 3. 0 therefore adds the source/access closures \ g^ ₈ₑ h_{^ graviton\ constructor} =0, SH^ QTT N ₆ₑ₀ₕ₈ₓ₎₍=0, T_ ₑ₄₍^{ QTT} h_{^ Fock}=0. \ The black-hole source map is written as a unitary evolution on the completed address ledger, followed by exterior access tracing: \ ₄ₗₓ (T) = Tr ₇₈₃ [ U ₁₇ (T, T₀) ₒ₎ₔₑ₂₄ (T₀) U ₁₇^ (T, T₀). \] The Hawking-regime row is treated as greybody access transfer through the recovered infrared metric, with A6 capacity cutoff: \ dNᵣdT\, d = ᵣ^ IR (;M, J, Q) 2 C₀₆ (_ ₋₎₂) (/kBT ₄₅₅^{ QTT) 1}, T ₄₅₅^ QTT = ₛ2 kBc. \ The singularity row is closed as a finite capacity-core and bounce admissibility class: \ |a| c², _, K ^-4. \ The paper is scoped as a QTT theorem inside Artian's Universe. It does not claim that the denied human-invented smooth continuum has been made fundamental. Main status labels: Σ-A2-IR-EINSTEIN-FIELD-DYNAMICS-CLOSED Σ-A2-UV-SOURCE-DOMAIN-CLOSED Σ-A2-NO-GRAVITON-SOURCE-ONTOLOGY-CLOSED Σ-A2-BH-EVAPORATION-SOURCE-OPERATOR-CLOSED Σ-A2-BH-GREYBODY-ACCESS-TRANSFER-CLOSED Σ-A2-GEOMETRY-FLUCTUATION-AS-COUNT-COVARIANCE-CLOSED Σ-A2-CAPACITY-CORE-CLASS-CLOSED Σ-A2-BOUNCE-ADMISSIBILITY-CLASS-CLOSED Related QTT anchors: Main book v10. 01: 10. 5281/zenodo. 17527179 Concept DOI: 10. 5281/zenodo. 20763263 Previous deposited version v1. 1: 10. 5281/zenodo. 20763264 Boltzmann Thermal Access and Entropy in QTT: 10. 5281/zenodo. 20322035 Arrow of Time / Artian Time Framework: 10. 5281/zenodo. 20761499 Artian Hamiltonian Framework: 10. 5281/zenodo. 20484907 Artian Lagrangian Framework: 10. 5281/zenodo. 20657182 Included files: PDF paper, Version 3. 0 LaTeX source Render audit Zenodo metadata notes SHA256 checksum file Release package zip

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