This analysis defines history within a complex-spacetime framework, revealing internal reversibility and causality.
This short paper introduces a new definition of history within a complex-spacetime framework based on closed-surface theory. By expressing spacetime as Z=X+ict, the real axis X is interpreted as the irreversible expansion of physical space, while the imaginary axis ttt represents a reversible internal dimension. Within this imaginary domain, the closed surface carries pattern states P(t), and a historical event is redefined as a specific pattern configuration rather than a point in time. This approach rejects the traditional point-based ontology of physics and replaces it with a surface-pattern ontology, in which observation, probability, resonance, and causality emerge from transitions of closed-surface patterns. The formulation also integrates naturally with the author’s existing frameworks, including closed-surface dynamics, pattern-distribution field theory, and iĀ orthogonal-response theory. The paper provides concise definitions of history, historical events, and history dynamics, offering a unified geometric reinterpretation of time, internal reversibility, and the structure of physical events.
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Konno Tetsuo (2025) studied this question.
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