Nomad Monad project is dedicated to: the exploration of some ingredients of Mathematical Physics that are revelent for a possible theory of Quantum Gravity. More precisely it concerns the construction of an adequate alphabet which would permit the building of a bridge between the language of differential geometry - and its subdomain Riemaniann geometry - which forms the framework of Einstein's theory of General Relativity, and the algebraic symbolism forming the framework of Quantum Fields Theory. In pursuing this aim, we are led to consider the status, amongst others, of the following fundamental notions: symmetry, observable, space-time, matter, relativity principle...

#### Mathematical Physics

n-plectic Geometry - n-plectic Gravity - Quantum Gravity -Dynamical Field Theory

#### Tales of higher symplectic geometry

The  $n$-plectic Tales is a serie of little notes and remarks on multisymplectic geometry,  $n$-plectic geometry and more generally $n$-geometry.

#### Library, Data basis

Library, topics: Multisymplectic Geometry, Calculus of Variations, Deformation and Geometric Quantization, Bio-DNA algebra.

## Unfolding the alphabet of Space, Time and Matter

The project is dedicated to the exploration of some ingredients of Mathematical Physics that are revelent for a possible theory of Quantum Gravity. More precisely it concerns the construction of an adequate alphabet which would permit the building of a bridge between the language of differential geometry - and its subdomain Riemaniann geometry - which forms the framework of Einstein's theory of General Relativity, and the algebraic symbolism forming the framework of Quantum Fields Theory. In pursuing this aim, we are led to consider the status, amongst others, of the following fundamental notions: symmetry, observable, space-time, matter, relativity principle...

#### Towards a Quantum theory of Gravity

The project is mainly focused on a (amongst others) road to Quantum Gravity that gives particular attention to the following intertwined topics: Dynamical Field Theory, n-plectic Geometry, n-plectic Gravity and Generalized Relativity. This are the main ingredients for drawing this map to the problem of the Quantization of Gravity.

#### Observe the Observer

For the setting of the physical representation, one, amongst others, of the main prism is the interwound duality between the Observer and the Observable, both in classical and quantum mechanics.

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