A Field-Theoretic Approach to the Problem of Time: From Frozen Formalism to Dynamical Evolution
Abstract
The ontological status of time represents a fundamental impasse in theoretical physics. General relativity treats it as a dynamical component of spacetime, while quantum mechanics requires it as an external parameter. This incompatibility culminates in the Wheeler-DeWitt equation, which describes a static universe—a "frozen formalism" starkly at odds with experienced reality. We propose a radical resolution: time is not fundamental but emerges as a quantum phenomenon. We introduce the _Tempon field_, Φ, a new fundamental scalar that serves as the universal mediator of temporal flow. Its interaction with matter via the stress-energy trace provides a physical substrate for time, transforming it from a background parameter into a dynamical quantum entity. This framework naturally resolves the Problem of Time by promoting Φ to an internal clock variable, recovering evolution from a timeless quantum state. Crucially, this model is not mere philosophy but yields a definitive, falsifiable signature. It predicts a universal, coherent oscillation in the fractional frequency of all atomic clocks, characterized by a narrow spectral line accompanied by daily and annual Doppler sidebands—a "smoking gun" pattern that cannot be replicated by axions, dark photons, or conventional modified gravity. We derive this signature, demonstrate its uniqueness, and detail complementary tests in gravitational wave polarizations and collider searches. By providing a direct experimental pathway, this…
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