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April 7, 20260 citationsOpen Access

The Attractor Resolution: Fine-Tuning, Hierarchy, and the Mechanism of Entropic Cyclicity

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FSFranny Philos Sophia

Key Points

  • Explore connections between the second law of thermodynamics, hierarchy of forces, and cosmological cyclicity.
  • Theoretical analysis of dissipative systems and limit-cycle attractors
  • Comparison of fundamental forces at critical thresholds
  • Derivation of parameters from gravitational collapse and Hawking evaporation
  • Interpretation of the cosmological constant as a phase variable
  • The fine-tuning problem is resolved with the recognition of the universe as a dissipative system
  • Forces are re-evaluated at critical thresholds, revealing gravity's dominance
  • Entropy waves relate to matter's behavior under gravitational influence
  • Predictions are made about dark energy and entropy profiles compatible with recent observations

Abstract

The second law of thermodynamics, the hierarchy of fundamental forces, and the mechanism ofcosmological cyclicity have been treated as independent problems. We argue that they share acommon origin: the conflation of scale-relative rankings with intrinsic properties. First, thefine-tuning problem dissolves once the universe is recognized as a dissipative system possessing alimit-cycle attractor. In dissipative dynamics, trajectories converge to the attractor regardless ofinitial conditions; combined with Adlam’s (2022) framework of laws as atemporal constraints, thePast Hypothesis is demoted from an unexplained boundary condition to a structural feature of theconstraint pattern. Second, the hierarchy problem dissolves once forces are compared at their owncritical thresholds rather than at a single scale. At the event horizon, gravity is unconditionallydominant — no other force can overcome it — and supermassive black holes dominate the entropybudget of the observable universe (Egan & Lineweaver 2010), making the “weakest” force the mostpowerful entropy engine. Third, gravity’s dominance at its critical threshold provides the physicalmechanism for the entropy wave identified in a companion paper (Sophia 2026c): contraction drivesmatter toward gravitational criticality, producing a phase transition that initiates the next cycle. Thevan der Pol nonlinearity parameter ε ~ 1091 is derived from the ratio of gravitational collapsetimescales to Hawking evaporation timescales, and the cosmological constant is interpreted as aphase variable of the cycle, consistent with DESI DR2’s 2.8–4.2σ evidence for time-varying darkenergy. The hypothesis generates testable predictions concerning the dark energy trajectory, theentropy deceleration profile, and the supermassive black hole mass function.

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Cite This Study

Franny Philos Sophia (2026) studied this question.

synapsesocial.com/papers/69d49f44b33cc4c35a227bb6https://doi.org/10.5281/zenodo.19428939
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