Physical and Mathematical Foundations

J.A.J. van Leunen

This paper is telling essentials of the story of the Hilbert Book Test Model without applying the mathematical formulas. The paper cannot avoid the usage of mathematical terms, but these terms will be elucidated such that mathematical novices can still understand most of the story. The Hilbert Book Test Model is a way to investigate the part of the foundation of physical reality that cannot be observed. This foundation is necessarily simple and it can easily be comprehended by skilled scientists. However, this paper is targeted to readers that are not skilled in math.

Ming‐Xing Luo

Andreas Schultheis

This preprint presents a continuity-based foundation framework for physical reality. It argues that observable reality exists on the effect side of an actualization boundary experienced as the present moment, or the Now. The framework defines the foundation as absolute continuity and treats observable physical reality as the field-side domain of motion, distinction, uncertainty, measurement, structure, and relation. The paper distinguishes operational certainty from absolute certainty and argues that structural uncertainty is unavoidable for observers confined to the effect side of reality. It reclassifies force, material, geometry, time, particles, randomness, mathematical infinity, and physical constants as operationally real field-side constructs rather than foundation-side primitives. The result is not a mathematical Theory of Everything, but a classification framework for identifying where physical concepts belong relative to foundation, actualization, observation, mathematics, and uncertainty.

Sophia Denker

Marcin Pawłowski

Entropy can be used in studies on foundations of quantum physics in many different ways, each of them using different properties of this mathematical object [...].