The Law of Conservation of Energy for Discontinuous and Continuous Functions in the Context of Acta Universi / Закон Сохранения Энергии Для Прерывных И Непрерывных Функций В Контексте Acta Universi

Key Points

• The aim is to explore the applicability of the law of conservation of energy in both discontinuous and continuous functions within the AU-field framework.
• Theoretical analysis based on AU-field axiomatics
• Evaluation of experimental data regarding AU-effects
• Logical reasoning to support the generalization
• The generalization is consistent with established axioms of AU-field.
• No contradictions with experimental data are observed due to minimal AU-effects.
• Implications highlight the robustness of conservation laws in varying mathematical contexts.