scholarly journals Emergent Spacetime and Gravitational Nieh-Yan Anomaly in Chiral p+ip Weyl Superfluids and Superconductors

2020 ◽  
Vol 124 (11) ◽  
Author(s):  
Jaakko Nissinen
Keyword(s):  
2020 ◽  
Vol 29 (14) ◽  
pp. 2043014
Author(s):  
Edgar Shaghoulian

There are many examples where geometry and gravity are concepts that emerge from a theory of quantum mechanics without gravity. This suggests thinking of gravity as an exotic phase of matter. Quantifying this phase in the Landau paradigm requires some sort of symmetry principle or order parameter that captures its appearance. In this essay, we propose higher-form symmetries as a symmetry principle underlying emergent spacetime. We explore higher-form symmetries in gauge–gravity duality and explain how their breaking describes features of gravitational theory. Such symmetries imply the existence of nonlocal objects in the gravitational theory — in gauge–gravity duality these are the strings and branes of the bulk theory — giving an alternative way to understand the nonlocality necessary in any ultraviolet completion of gravity.


2011 ◽  
Vol 01 ◽  
pp. 266-271
Author(s):  
HYUN SEOK YANG

A natural geometric framework of noncommutative spacetime is symplectic geometry rather than Riemannian geometry. The Darboux theorem in symplectic geometry then admits a novel form of the equivalence principle such that the electromagnetism in noncommutative spacetime can be regarded as a theory of gravity. Remarkably the emergent gravity reveals a noble picture about the origin of spacetime, dubbed as emergent spacetime, which is radically different from any previous physical theory all of which describe what happens in a given spacetime. In particular, the emergent gravity naturally explains the dynamical origin of flat spacetime, which is absent in Einstein gravity: A flat spacetime is not free gratis but a result of Planck energy condensation in a vacuum. This emergent spacetime picture, if it is correct anyway, turns out to be essential to resolve the cosmological constant problem, to understand the nature of dark energy and to explain why gravity is so weak compared to other forces.


2020 ◽  
Vol 29 (13) ◽  
pp. 2050093
Author(s):  
J. C. Castro-Palacio ◽  
P. Fernández de Córdoba ◽  
J. M. Isidro

We present a simple quantum-mechanical estimate of the cosmological constant of a Newtonian Universe. We first mimic the dynamics of a Newtonian spacetime by means of a nonrelativistic quantum mechanics for the matter contents of the Universe (baryonic and dark) within a fixed (i.e. nondynamical) Euclidean spacetime. Then we identify an operator that plays, on the matter states, a role analogous to that played by the cosmological constant. Finally, we prove that there exists a quantum state for the matter fields, in which the above-mentioned operator has an expectation value equal to the cosmological constant of the given Newtonian Universe.


2021 ◽  
pp. 154-181
Author(s):  
David J. Chalmers

What is the relation between space in the manifest image of perceptual experience and in the scientific image of physics? I will argue that we have moved from spatial primitivism (on which space is understood as a primitive conception that we are acquainted with) to spatial functionalism (on which space is picked out by its functional role). I investigate different forms of spatial functionalism on which the relevant roles are experiential (involving effects on our experience) and non-experiential (involving patterns of causal interactions). I draw connections to functionalism in the philosophy of mind, to Cartesian skepticism, and to recent literature on spacetime functionalism and emergent spacetime.


2018 ◽  
Vol 24 (2) ◽  
pp. 287-305 ◽  
Author(s):  
Piotr Żenczykowski
Keyword(s):  

2014 ◽  
Vol 739 ◽  
pp. 117-124 ◽  
Author(s):  
Niayesh Afshordi ◽  
Dejan Stojkovic
Keyword(s):  

2012 ◽  
Vol 09 (06) ◽  
pp. 1261001 ◽  
Author(s):  
GIOVANNI AMELINO-CAMELIA

I stress that spacetime is a redundant abstraction, since describing the physical content of all so-called "spacetime measurements" only requires timing (by a physical/material clock) of particle detections (at a physical/material detector). It is interesting then to establish which aspects of our current theories afford us the convenient abstraction of a spacetime. I emphasize the role played by the assumed triviality of the geometry of momentum space, which makes room for an observer-independent notion of locality. This is relevant for some recent studies of the quantum-gravity problem that stumbled upon hints of a nontrivial geometry of momentum space, something which had been strikingly envisaged for quantum gravity already in 1938 by Max Born. If indeed momentum space has nontrivial geometry then the abstraction of a spacetime becomes more evidently redundant and less convenient: one may still abstract a spacetime but only allowing for the possibility of a relativity of spacetime locality. I also provide some examples of how all this could affect our attitude toward the quantum-gravity problem, including some for the program of emergent gravity and emergent spacetime. And in order to give an illustrative example of possible logical path for the "disappearance of spacetime" I rely on formulas inspired by the κ-Poincaré framework.


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