The Morphological Migration of Time: Modular Flow, Chiral-Modular Sign Identity and the UV-IR Scale Relativity of All Spacetime Slices

Based on the algebraic ontology framework built upon modular quantum flag manifold algebra and Tomita–Takesaki modular theory, this paper reconstructs the intrinsic nature of time by unifying modular flow dynamics, the chiral-modular sign identity and UV-IR holographic duality. The chiral-modular sign identity rigidly locks the universe’s global dynamical trajectory to evolve unidirectionally from the infrared (IR) to the ultraviolet (UV) end of the scale spectrum. Benefiting from the inherent Z_2 spectral inversion symmetry of the modular operator, advancing toward the UV is equivalent to the gradual morphological shift of all past events and objects into IR diffuse configurations relative to any fixed observational anchor. Planck and Hubble cutoffs are merely artificial mathematical boundaries for computational convenience rather than inherent absolute limits of the cosmic scale continuum. Under universal UV-IR duality, the scale spectrum extends infinitely in both UV and IR directions; apparent UV energy divergences are intrinsically offset and canceled by reciprocal IR mapping, so no real singular divergence exists at the fundamental algebraic level. The cosmic modular flow constitutes an endless asymptotic progression toward relatively higher energy scales, where relative UV and IR domains exist perpetually without terminal boundaries. Through a triple-view thought experiment observing Earth at distinct energy anchors, we verify that microcosm and macrocosm are merely different projective readings of the single underlying algebraic manifold, with no absolute objective morphology for any substance. This paper further proposes the spacetime slice model: every human being and all historical events are fixed relational slices permanently embedded in the global modular relational network. All past slices are not erased but preserved in low-energy IR forms such as interstellar media and nebulae. The so-called "departed individuals" do not undergo complete annihilation; they only complete cross-scale morphological transformation and become an inseparable part of the starry sky. The future does not exist as blank voids but pre-exists as compact UV configurations waiting to be resolved by the advancing modular flow. All physical phenomena are scale-dependent projections of one unique algebraic ontology, leading to the core conclusion: in modular flow, nothing truly vanishes—there is only eternal morphological migration across the IR-IR scale gradient.