{"arxiv_id":"2010.02703","incoming":{"papers":3,"sentences":31,"groups":[{"kind":"supports_this_paper","label":"Cites it as support","papers":2,"sentences":4,"quotes":[{"arxiv_id":"2011.01765","title":"Unification through Generalised Proper Time: The Short Story","url":"/paper/2011.01765","section":"Physical Realisation","sentence":"In this manner structures can be identified coherently combining both the principles of general relativity and the phenomena of quantum theory, hence incorporating a candidate for a consistent scheme of `quantum gravity' [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"2308.13528","title":"Generalised Proper Time and the Universal Bootstrap","url":"/paper/2308.13528","section":"Introduction","sentence":"As a unification scheme the approach of generalised proper time has achieved a series of successes in accommodating the Standard Model of particle physics [ref] , providing a framework for unifying general relativity with quantum theory [ref] , and implying dark energy and dark matter candidates ( [ref] section 4).","intent_p":0.97,"contests_p":null}]}],"unlabelled_sentences":27},"outgoing":{"papers":39,"sentences":220,"groups":[{"kind":"extends","label":"Builds on","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1606.09568","title":"Unification in One Dimension","url":"/paper/1606.09568","section":"Quantum Field Theory Limit","sentence":"The related empirical phenomenon of `running coupling' ( [ref] equation 11.47 and figure 11.10) should, on making the connections from right to left through equation [ref], also be a property identified for the present theory, which in addition should directly apply for an arbitrarily high energy scale.","intent_p":0.81,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":13,"sentences":30,"quotes":[{"arxiv_id":"1905.12419","title":"Generalised Proper Time as a Unifying Basis for Models with Two Right-Handed Neutrinos","url":"/paper/1905.12419","section":"Generalised Proper Time as a Unifying Basis","sentence":"Theories with extra spatial dimensions typically conceive of our familiar world of spacetime as an embedded submanifold within an extended higher-dimensional bulk space that may or may not be compactified down to the preferred extended 4-dimensional spacetime ( [ref] opening of subsection 2.2 and references therein).","intent_p":0.96,"contests_p":null},{"arxiv_id":"1606.09568","title":"Unification in One Dimension","url":"/paper/1606.09568","section":"Constraints on Solutions and Ricci Curvature Waves","sentence":"In general relativity with the Einstein equation [ref] derived via the Einstein-Hilbert action the energy-momentum $T^μν(x)$ on the right-hand side is defined in terms of a matter Lagrangian $$ ( [ref] equations 3.79–3.85).","intent_p":0.93,"contests_p":null},{"arxiv_id":"1809.05403","title":"From Unified Field Theory to the Standard Model and Beyond","url":"/paper/1809.05403","section":"For a General Curved Spacetime","sentence":"There is however an historical connection with unified field theories as a generalisation of general relativity as noted in section [ref] (citing [ref] subsections 1.2 and 5.1, [ref] ).","intent_p":0.83,"contests_p":null},{"arxiv_id":"1401.3578","title":"Conceptual Problems in Quantum Gravity and Quantum Cosmology","url":"/paper/1401.3578","section":"Quantum Theory with Gravity","sentence":"The technical difficulty in uniquely specifying a time evolution for the quantum state in general relativity, by consistently combining the one-dimensional and 4-dimensional aspects of the two theories, with its several related facets, is known as the `problem of time' in quantum gravity ( [ref] , [ref] section 4).","intent_p":0.92,"contests_p":null},{"arxiv_id":"gr-qc/9210011","title":"Canonical Quantum Gravity and the Problem of Time","url":"/paper/gr-qc/9210011","section":"Quantum Theory with Gravity","sentence":"The technical difficulty in uniquely specifying a time evolution for the quantum state in general relativity, by consistently combining the one-dimensional and 4-dimensional aspects of the two theories, with its several related facets, is known as the `problem of time' in quantum gravity ( [ref] , [ref] section 4).","intent_p":0.92,"contests_p":null}]}],"unlabelled_sentences":189},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/2010.02703"}}