We formulate a geometric framework for temporality within a six–dimensional symplectic setting in which time is not introduced as a primitive background parameter, but appears through a hierarchy of structural readouts.Four temporal regimes are identified: Hamiltonian flow time, internal phase time, effective Lorentzian time, and coarse-grained entropy-orientable cosmological temporality. These are interpreted as related projections of a common underlying symplectic carrier. A further clarification is added using the Floer-theoretic gradient parameter. The parameter s appearing in the Floer equation is not a physical time variable. It is a gradient-flow parameter on loop space, path space, or an appropriate thimble configuration space. It organises interpolations between Hamiltonian or thimble data, but it should not be identified with Hamiltonian time, effective Lorentzian time, or the thermodynamic arrow. Thus the temporal hierarchy is sharpened by the distinction tHam ̸= sFloer ̸= teff ̸= tentropy. The Floer parameter is a geometric-computational direction, not a new cosmological temporal layer.On this basis, we introduce the notion of temporal unification: locally defined phase clocks become globally comparable under admissible convergence and phase locking, thereby yielding an effective observable time coordinate. We further distinguish observable time from propagation comparability. The latter is treated as a more primitive structure: before a single observable time coordinate has been reconstructed, phase transport and metric distinguishability may already support a bounded notion of propagation comparability. Observable time is therefore not the primitive condition for propagation; rather, it is the phase–locked readout through which propagation becomes describable in Lorentzian spacetime language. We also argue that residual relative phases surviving incomplete temporal unification induce a metric structure, providing a geometric interpretation of emergent space as residual phase geometry. A further correction is made in light of FBT16A. Since the underlying background is symplectic, the fourth temporal layer should not be read as an absolute one-way law of the fundamental carrier. Hamiltonian and phase-level dynamics may remain reversible, recurrent, or holonomy-rich. The entropy arrow appears only after finite resolution, coarse graining, loss of accessible phase information, structural pumping, and a low-entropy boundary condition have been imposed. Thus the fourth temporal layer is branchwise and effective: it is an entropy orientation of a coarse-grained readout branch, not a primitive irreversibility of the underlying symplectic geometry. A further structural distinction is introduced between closed local carriers and non-closed global trajectories. Local operational phase structures, such as the residual S-gate circle of FBT01B and the Hermitian-line U(1) carrier of FBT05D, are naturally closed. They provide repeatable, compact, and quantisable phase units. By contrast, the global traversal of the full relative dual-phase torus may be non-closed. Dense weak-resonance Kronecker flows of the type studied in DCQ7B provide a geometric model of stable but non-periodic traversalon the compact relative phase carrier, while the local operational phase units themselves remain closed. Thus the fourth temporal layer is not a closed clock. It is better understood through the principle closed carrier, non-closed trajectory. Local gauge closure does not imply global temporal recurrence, and global non-recurrence does not destroy local gauge closure. The paper is intended as a foundational synthesis. It organises the chain tension structure → Hamiltonian / translation structure → energy readout → time as flow parameter, and isolates the principal conjectural bridges linking convergence, coherence, observable temporality, propagation comparability, and emergent spatial dimension.
ZHAI Xingyun (Mon,) studied this question.