What question did this study set out to answer?

This work aims to establish the TUTI framework for modeling physical systems using ordinary differential equations.

January 20, 20260 citationsOpen Access

TUTI: Ordinary Differential Dynamics on Complete State Space (Priority Claim – Restricted Access)

Key Points

This work aims to establish the TUTI framework for modeling physical systems using ordinary differential equations.
Developed theoretical formulations for physical systems.
Utilized deterministic density evolution on complete state space.
Illustrated emergence of atomic and galactic structures through phenomenological demonstrations.
Demonstrated that complex atomic structure and galactic dynamics arise from simple differential equations.
Highlighted the projection effects that emerge in these models.

Abstract

This deposit establishes priority for the TUTI (Theory of Universal Transformational Information) framework, in which physical systems are modeled via deterministic density evolution on complete State Space governed by ordinary differential equations.The package includes a theoretical formulation and phenomenological demonstration programs illustrating emergent atomic structure and galactic dynamics as projection effects.Detailed algorithms, full numerical solvers, and implementation-specific methods are intentionally not disclosed.

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