Towards a Single-Parameter Universe: A Model of Physical Constants from the Cyclic Time Period

We explore the hypothesis that all physical constants may be derived from a single dimensionless parameter: the normalized time period ˜ T = T tP of a cyclic universe. This work reviews the theoretical background, develops models for key constants including α, G, Λ, h, e, mp/me, and kB, and discusses the implications of deriving physical law from cosmic periodicity. Building on earlier models of cyclic time and restorative potentials, we show that ˜ T governs both microscopic recurrence structures and macroscopic physical constants, enabling the derivation of {G, ℏ, α,Λ,mp,me, kB} from a post-collapse cosmological boundary condition. The restorative potential Φ(t), previously modeled via a divergence at the end of the cycle t → T−, is shown to encode a universal quantization spectrum through a Taylor expansion, modular embeddings, and spectral collapse at ˜ T. Conscious observers are represented geometrically as Dirac delta functions embedded in a symplectic recurrence manifold, where their roles within the cosmic drama are projected as time-evolved quantum histories. We further demonstrate that the structure of time near the collapse limit maps onto tree-like causal graphs of souls, culminating in a modular procession toward an entropy-free boundary state. Connections to string dualities, holography, Fourier-dual entropy flows, neural recurrence, and non-commutative time operators are examined. In this formulation, ˜ T replaces arbitrary physical input with a single parameter encoding global cyclic memory, thereby offering a minimal yet comprehensive rewriting of fundamental physics.