Ozer Oztekin

Abstract We propose a covariant field-theoretic model in which physical time is a dynamical scalar field, the Time Wave Field (TWF) , coupling to matter via the stress-energy trace and disformal metric modifications. The measured physical time is: where is the metric proper time. We derive the covariant action, field equations, modified geodesics, and constraints from weak-field gravity, atomic clocks, and interferometric measurements. Microscopic fluctuations of generate quantum decoherence, with a variance reproducing the magnitude and structure of the Diósi–Penrose gravitational decoherence. Spatial gradients of ϕ modify the flow of proper time and induce a disformal correction to the metric, yielding an additional attractive force that perturbatively mimics gravitational time dilation and produces Yukawa-like corrections to Newtonian gravity. Crucially, when applied to cosmology, the dynamical nature of physical time modifies the interpretation of cosmic expansion. Cosmological acceleration emerges from the evolution of temporal flow itself rather than from vacuum energy, while phenomena attributed to dark matter arise from temporal inertia and spatial inhomogeneities in clock rates. Large-scale structure formation, gravitational lensing, and the cosmological arrow of time are reinterpreted as consequences of a single dynamical time field. The model yields testable predictions ranging from sub-millimeter deviations from Newtonian gravity to mass-dependent macroscopic quantum decoherence and time-dependent cosmological signatures. Keywords: Time wave Field, Dynamical Scalar Field, Quantum Decoherence, Gravitational Time Dilation, Dark Matter, Dark Energy

According to Einstein, a universal time does not exist. But what if time is different than what we think of it? Cosmic Microvawe Background Radiation was accepted as a reference for a universal clock and a new time concept has been constructed. According to this new concept, time was tackled as two-dimensional having both a wavelength and a frequency. What our clocks measure is actually a derivation of the frequency of time. A relativistic time dilation actually corresponds to an increase in the wavelength of time. At the point where time wavelength and time frequency is equal, where light is positioned, quantum-world and macro- world are seperated. Gravity was redefined with respect to time and the new two dimensional time fabric of the universe was speculated to be the source of dark energy causing the universe to expand. According to this new point of view quantum realm and macro-world can be better understood. This new time concept provide a basis for our understanding of quantum gravity and provide the long-sought answers to well known problems of it. A prediction of the presented theory is that the universe will expand at various rates at different regions due to the fact that particular surroundings will create different gravities and cause a different gravity- time wavelength effect yielding various time delays for calculating this rate of expansion.