The E-QFT Master Unified Equation: From Emergent Classical GR to a Quantum Unification Roadmap

The E-QFT Master Unified Equation: From Emergent Classical GR to a Quantum Unification Roadmap | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 18 August 2025 V1 Latest version Share on The E-QFT Master Unified Equation: From Emergent Classical GR to a Quantum Unification Roadmap Author : Lionel Barreiro 0009-0000-1474-7699 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.175555040.04017645/v1 352 views 129 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract We introduce a master equation for spacetime geometry emerging from quantum projector fields that reproduces the full nonlinear classical general relativity (GR) in the continuum limit while incorporating controlled quantum corrections. The equation Ĝµν [P ] = 8πG T m µν + T proj µν + ℏ Ξ µν [P ; a, σ] + O ℏ 2 is derived within the Emergent Quantum Field Theory (E-QFT) [1] formalism, where spacetime and gravitational dynamics arise from overlaps of localized quantum projectors. We present its derivation, show consistency with previously demonstrated classical emergence (causality, Lorentz invariance, strong-field dynamics, and matter coupling), provide initial toy-model demonstrations of quantum effects (two-point correlators and entropy diagnostics), and outline a staged simulation roadmap toward unification. This establishes theoretical priority on the equation and invites community collaboration on large-scale validation. Supplementary Material File (e-qft_unified_equation.pdf) Download 440.93 KB Information & Authors Information Version history V1 Version 1 18 August 2025 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Keywords ads/cft correspondence conjecture emergent gravity emergent quantum field theory (e-qft) general relativity to quantum gravity quantum quantum gravity unified equation Authors Affiliations Lionel Barreiro 0009-0000-1474-7699 [email protected] E-QFT Institute https: // eqft-institute. org View all articles by this author Metrics & Citations Metrics Article Usage 352 views 129 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Lionel Barreiro. The E-QFT Master Unified Equation: From Emergent Classical GR to a Quantum Unification Roadmap. Authorea . 18 August 2025. DOI: https://doi.org/10.22541/au.175555040.04017645/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. 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