Unitary Entities Are the True "Atoms"

Area of Science:

• Thermodynamics
• Information Theory
• Cosmology

Background:

• The concept of fundamental particles (
• Shannon information, and the holographic principle are key to understanding physical systems.
• Existing models struggle to unify phenomena across vastly different scales.

Purpose of the Study:

• To introduce Quantitative Geometrical Thermodynamics (QGT) as a new framework for physical science.
• To demonstrate QGT's ability to describe fundamental entities and complex systems.
• To review QGT's contributions and its relation to other scientific work.

Main Methods:

• Utilizing entropic Lagrangian-Hamiltonian canonical equations of state.
• Applying principles of the holographic principle and Shannon information.
• Employing a logarithmic metric within hyperbolic space, incorporating scale relativity.

Main Results:

• QGT successfully accounts for the chirality of DNA and stability of Buckminsterfullerene.
• QGT predicts the size of the alpha particle and the lifetime of the free neutron.
• QGT explains the shape, structure, and stability of the Milky Way galaxy.

Conclusions:

• QGT provides a unified physical description for entities across 38 orders of magnitude, treating them as fundamental "atoms".
• Compound entities can be considered "unitary" under QGT's scale relativity principle when a characteristic size is specified.
• The entropic nature of QGT necessitates specifying a length scale for defining unitary properties and atomic characteristics.