Cumulative Phase vs. Modulo-360° Phase: Why Phase Drift Beyond 360° Represents Lost Cycles, Redshift, and ECM Energy Conversion of ΔPE ECM into NAM

January 1, 2025Open Access

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Key Points

To analyze why continuous cumulative phase tracking differs from standard modulo-360° phase representations and how phase drift beyond full cycles explains redshift and energy conversion.
Theoretical framework modeling comparing unwrapped cumulative phase accumulation against standard modulo-360° cyclic boundaries.
Mathematical analysis relating cumulative phase drift to lost oscillation cycles and wave energy dissipation.
Phase drift accumulating past 360° physically signifies permanently lost oscillation cycles rather than redundant repetitive phase states.
Cumulative cycle loss directly accounts for observational redshift and the transformation of potential energy into dynamic modes.

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Theoretical analysis reveals cumulative phase drift beyond 360° represents lost wave cycles and redshift, highlighting energy conversion mechanisms.

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Soumendra Nath Thakur (2025) studied this question.

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