This theoretical exploration establishes a closed universe cycle through equations and cosmic dynamics, suggesting fundamental interactions.
Building on the two core assumptions of the Planckon Theory (the ΨD framework) — time is not a dimension but an event counter of interactions (τ = n·tP), and space is woven discretely by doubling cubic geometry — this paper establishes, at the level of equations, that the universe is a closed system following a self-running, endless expansion–collapse cycle (the cosmic breath). The Planckon is the indivisible, dimensionless and volumeless smallest digital entity: the singlebit building block of the universe; the universe is the binary ledger of a finite number of Planckons. The state space is bounded by two walls: on the compression side the zero-exclusion wall (no room left to vibrate), on the expansion side the bond-necessity wall (the last bond cannot break; the record ceiling fills up); and standstill is forbidden. Since no point between the two walls admits equilibrium, the only possible behaviour is oscillation: the bang is not an event but the sole exit gate of the state space at the bottom. Calibrated to the announced chronology, the counter-dynamical equation of motion yields the following calendar: accelerating expansion (08.0 Gyr; the exponentially fading tail of the push wall), deceleration (8.0–8.8; the gravitational brake of the massive records), renewed acceleration (8.8–14.5; the d1 plateau — dark energy; today, 13.8, lies inside this phase), final deceleration and halt (17.8 Gyr; at the record-ceiling address kΛ = 202.674), followed by a descent that is the exact mirror of the ascent, ending in a braked, singularity-free arrival at the bottom; the full cycle is 35.6 Gyr. The bang instant and the halt instant are inverses of each other in every state variable: at the bottom, volume is minimal while temperature and potential are maximal; at the halt, the exact opposite. The transformationclass ratios at the bottom are counted from the ledger: Ωd1 = 0.68634 (dark energy), Ωd2 = 0.26413 (dark matter), Ωd3 = 0.04952 (baryonic matter) — all three agree with observation at the per-mille level. In this version five constitutive items have been turned into derivations: the two walls are the two ends of one constant-ratio theorem, the brake window descends from the gate theorem, the split word 2⁴/D is read from the open/closed counting ladder (the denominator is not an independent number but the spatial dimension), and the three-dimensionality of space is counted from the self-terminating digital object sequence. Because the gates erase phase information, the cycle is an attractor: the endless breath runs by itself, requires no external input, and the counter never runs backwards in any phase.
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Hamdi Barut (2026) studied this question.
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