## Abstract

Universal nature of Boltzmann statistical mechanics, generalized thermodynamics, quantum mechanics, spacetime, black hole mechanics, Shannon information theory, Faraday lines of force, and Banach-Tarski paradox (BTP) are studied. The nature of matter and Dirac anti-matter are described in terms of states of compression and rarefaction of physical space, Aristotle fifth element, or Casimir vacuum identified as a compressible tachyonic fluid. The model is in harmony with perceptions of Plato who believed that the world was formed from a formless primordial medium that was initially in a state of total chaos or “Tohu Vavohu” (Sohrab in Int J Mech 8:73–84, [1]). Hierarchies of statistical fields from photonic to cosmic scales lead to universal scale-invariant Schrödinger equation thus allowing for new perspectives regarding connections between classical mechanics, quantum mechanics, and chaos theory. The nature of external physical time and its connections to internal thermodynamics time and Rovelli thermal time are described. Finally, some implications of renormalized Planck distribution function to economic systems are examined.

Original language | English (US) |
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Title of host publication | 14th Chaotic Modeling and Simulation International Conference |

Editors | Christos H. Skiadas, Yiannis Dimotikalis |

Publisher | Springer Science and Business Media B.V. |

Pages | 445-480 |

Number of pages | 36 |

ISBN (Print) | 9783030969639 |

DOIs | |

State | Published - 2022 |

Event | 14th International Conference on Chaotic Modeling, Simulation and Applications, CHAOS 2021 - Athenes, Greece Duration: Jun 8 2021 → Jun 11 2021 |

### Publication series

Name | Springer Proceedings in Complexity |
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ISSN (Print) | 2213-8684 |

ISSN (Electronic) | 2213-8692 |

### Conference

Conference | 14th International Conference on Chaotic Modeling, Simulation and Applications, CHAOS 2021 |
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Country/Territory | Greece |

City | Athenes |

Period | 6/8/21 → 6/11/21 |

### Funding

This research was in part supported by NASA grant No. NAG3-1863.

## Keywords

- Anti-matter
- Banach-Tarski paradox
- Faraday lines of force
- Information theory
- Quantum mechanics
- Spacetime
- T.O.E
- Thermal time
- Thermodynamics

## ASJC Scopus subject areas

- Applied Mathematics
- Modeling and Simulation
- Computer Science Applications