## Ontological Math][Physics mirror between Noether and Planck

A mirror built here, by virtue of an iterative process, a geometry from a conceptual object. This dynamic, served by the Noether’s theorem, generates the universal constants.

A mirror built here, by virtue of an iterative process, a geometry from a conceptual object. This dynamic, served by the Noether’s theorem, generates the universal constants.

We start from a hypothetical multi-fold universe U_{MF}}, where the propagation of everything is slower or equal to the speed of light and where entanglement extends the set of paths available to Path Integrals. This multi-fold mechanism enables EPR (Einstein-Podolsky-Rosen) “spooky actions at distance” to result from local interactions in the resu...

Published in Annales Henri Poincaré

We show that the definition of global hyperbolicity in terms of the compactness of the causal diamonds and non-total imprisonment can be extended to spacetimes with continuous metrics, while retaining all of the equivalences to other notions of global hyperbolicity. In fact, global hyperbolicity is equivalent to the compactness of the space of caus...

This thesis is dedicated to the study of quasi-local boundary in quantum gravity. In particular, we focus on the three-dimensional space-time case. This research takes root in the holographic principle, which conjectures that the geometry and the dynamic of a space-time region can be entirely described by a theory living on the boundary of this giv...

Published in Zeitschrift für Naturforschung A

We present a new, falsifiable quantum theory of gravity, which we name non-commutative matter-gravity. The commutative limit of the theory is classical general relativity. In the first two papers of this series, we have introduced the concept of an atom of space-time-matter (STM), which is described by the spectral action in non-commutative geometr...

Published in Zeitschrift für Naturforschung A

In the first article of this series, we have introduced the concept of an atom of space-time-matter (STM), which is described by the spectral action of noncommutative geometry, corresponding to a classical theory of gravity. In the present work, we use the Connes time parameter, along with the spectral action, to incorporate gravity into trace dyna...

Published in Hal

The Planck units are defined from fundamental physical constants. Ontologically we note that the coupling constant, intrinsic to the Planck charge, generates on space-time the interlacing of the dimensioned constants ml, h, G, iterated in geometric progression of reason c, the speed of light. As alpha is also “the ratio of the velocity of the elect...

Published in Zeitschrift für Naturforschung A

We recall a classical theory of torsion gravity with an asymmetric metric, sourced by a Nambu–Goto + Kalb–Ramond string [R. T. Hammond, Rep. Prog. Phys. 65, 599 (2002)]. We explain why this is a significant gravitational theory and in what sense classical general relativity is an approximation to it. We propose that a noncommutative generalisation ...

Published in Foundations of Physics

It was recently suggested that the cosmological constant problem as viewed in a non-perturbative framework is intimately connected to the choice of time and a physical Hamiltonian. We develop this idea further by calculating the non-perturbative vacuum energy density as a function of the cosmological constant with multiple choices of time. We also ...

Kyoto University (京都大学) / 0048 / 新制・課程博士 / 博士(理学) / 甲第21567号 / 理博第4474号 / 新制||理||1642(附属図書館) / 京都大学大学院理学研究科物理学・宇宙物理学専攻 / (主査)教授 高柳 匡, 教授 青木 慎也, 教授 田中 貴浩 / 学位規則第4条第1項該当