# The Structure of Spacetime and Noncommutative Geometry

@inproceedings{Lizzi2008TheSO, title={The Structure of Spacetime and Noncommutative Geometry}, author={Fedele Lizzi}, year={2008} }

We give a general and nontechnical review of some aspects of noncommutative geometry as a tool to understand the structure of spacetime. We discuss the motivations for the constructions of a noncommutative geometry, and the passage from commutative to non

## 11 Citations

### Noncommutativity as a mapping of paths

- Physics
- 2009

A reinterpretation of noncommutativity as a mapping of paths is proposed at the level of quantum mechanics.

### Noncommutative gauge theory using a covariant star product defined between Lie-valued differential forms

- Mathematics
- 2010

We develop an internal gauge theory using a covariant star product. The space-time is a symplectic manifold endowed only with torsion but no curvature. It is shown that, in order to assure the…

### A possibility on prohibition of Higgs mass by the extended Lorentz transformation in noncommutative geometry

- Physics
- 2017

In this letter, we propose the extended Lorentz transformation in noncommutative geometry, as a possibility on protection of the Higgs mass. In order to reconcile this transformation with the…

### Peculiarities of Transition to Chaos in Nonideal Hydrodynamics Systems

- Engineering
- 2012

The nonideal deterministic dynamic system ”tank with a fluid–electromotor” is considered. On the basis of investigation of low-dimensional mathematical model of the given system the map of dynamic…

### Non-commutativity in polar coordinates

- Mathematics
- 2016

We reconsider the fundamental commutation relations for non-commutative $$\mathbb {R}^{2}$$R2 described in polar coordinates with non-commutativity parameter $$\theta $$θ. Previous analysis found…

### COMPLEXITY THEORY AND TSALLIS NON-EXTENSIVE STATISTICS: THEORY AND APPLICATIONS

- Physics
- 2013

In this study the general theoretical framework of Complexity theory is presented, viewed through non-extensive statistical theory introduced by Constantino Tsallis in 1988. Nonlinear dynamics,…

### Understanding the Multi-Scale and Multi-fractal Dynamics of Space Plasmas Through Tsallis Non-Extensive Statistical Theory

- Physics
- 2012

In this study it is shown that the Tsallis q-extended statistical theory was found efficient to describe faithfully the space plasmas statistics in every case, from the planetic magnetospheres, to…

### Mind Before Matter: Reversing the Arrow of Fundamentality

- PhilosophyThe Frontiers Collection
- 2019

In this contribution, I suggest that it is sometimes a step forward to reverse our intuition on “what is fundamental”, a move that is somewhat reminiscent of the idea of noncommutative geometry. I…

### Universality of non-extensive Tsallis statistics and time series analysis: Theory and applications

- Physics
- 2014

### Universality of Tsallis Non-Extensive Statistics and Fractal Dynamics for Complex Systems

- Physics
- 2012

Tsallis q-extension of statistics and fractal generalization of dynamics are two faces of the same physical reality, as well as the Kernel modern complexity theory. The fractal generalization…

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