TL;DR
This paper surveys how geometric concepts emerge from quantum formalism, leading to a noncommutative spectral model of gravity coupled with matter consistent with experimental data.
Contribution
It introduces a novel noncommutative geometric framework for gravity and matter based on quantum formalism, expanding the mathematical foundations of physics.
Findings
Development of a spectral model of gravity with matter
Alignment of the model with experimental observations
Insight into the emergence of geometry from quantum principles
Abstract
We give a survey of our joint ongoing work with Ali Chamseddine, Slava Mukhanov and Walter van Suijlekom. We show how a problem purely motivated by "how geometry emerges from the quantum formalism" gives rise to a slightly noncommutative structure and a spectral model of gravity coupled with matter which fits with experimental knowledge. This text will appear as a contribution to the volume: "Foundations of Mathematics and Physics one century after Hilbert". Editor: Joseph Kouneiher. Collection Mathematical Physics, Springer 2017
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Quantum Mechanics and Applications · Relativity and Gravitational Theory