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🔄 ALTERNATIVE TITLES Option 1: Conceptual/Philosophical The Universal Balance: A Unified Theory of Matter Flow Across All Scales of Reality Option 2: Systems Theory Focus From Cells to Galaxies: A Generalized Systems Framework for Mass Balance Across All Disciplines Option 3: Interdisciplinary Focus Bridging Disciplines Through Conservation: A Universal Mass Balance Framework for Natural and Engineered Systems Op...

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Space & PhysicsarXiv2026-07-10Skeptical (30)

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Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment

Yacob Medhin, Simone Servadio

The cube method reduces conjunction screening in orbital debris simulations to $\mathcal{O}(N)$ cost by evaluating only object pairs sharing the same grid cell at each snapshot, but systematically assigns zero collision probability to pairs separated by a cell boundary at that epoch, a failure known as boundary blindness. This paper introduces the Double Cube (DC) method, which recovers boundary crossing conjuncti...

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A Generalized Universal Mass Balance Framework: Unifying Matter Transfer, Transformation, Storage, and Sequestration Across Engineering, Biological, Ecological, and Cosmological Systems

Beyond the Cube: Overlapping Grid Methods for Debris Collision Risk Assessment

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