The General Nature of Informational Mechanics

Holonomic Field Theory : Holonomic Field Theory

von A. V. Shirkov

354 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

Holonomic Field Theory develops a speculative mathematical framework based on hierarchical resolution structures, bounded operator dynamics, and inverse systems of Hilbert spaces. The work begins by constructing an abstract formalism in which information, distinguishability, and multiscale structure are treated as primary mathematical objects. From these foundations, it introduces the Holonomic Resolution Hierarchy (HRH), together with associated notions of transport, spectral decomposition, and hierarchical dynamics.

The first part of the manuscript is devoted primarily to definitions, constructions, and internal consistency of this mathematical framework. The later chapters explore possible interpretations of these structures in the language of theoretical physics, discussing how concepts resembling gauge sectors, geometric connections, curvature, and effective field descriptions might arise from the formalism.

These later developments should be understood as heuristic extensions and proposed directions for further investigation rather than established derivations of known physical theories. Although the framework employs mathematical tools drawn from functional analysis, operator theory, and mathematical physics, it does not claim to derive quantum field theory, general relativity, or the Standard Model from first principles. Instead, it proposes a conceptual architecture within which such questions may be formulated.

Accordingly, this work is best read as a foundational research monograph: an exploration of a new mathematical language and the physical interpretations it may support, rather than a completed physical theory. Many of the central ideas presented here remain conjectural and require substantial mathematical development, rigorous theorem proving, and empirical connection before they could be regarded as components of an established theory of nature.

The purpose of this volume is therefore to document a coherent research program whose value ultimately depends on the mathematical structures it develops and on the future work required to determine their physical significance.

• Reihe: Independently published
• ISBN: 9798184936659
• Sprache: Englisch
• Erscheinungsdatum: 23.10.1997
• Größe: 229 x 152 mm
• Verlag: Predominance Novels