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June 10, 2026Open Access

Time Emergence and Local Temporal Degrees of Freedom: A Unified Spacetime Theory, Rigorous Mathematical Derivation and Complete Experimental Scheme

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Authors

JCjingkai cheng

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Overview

This theoretical framework proposes a unified spacetime model explaining anomalies in clock frequency drift, suggesting a new understanding of time and gravity.

Key Points

  • The aim is to establish a unified spacetime theory reconciling general relativity and quantum mechanics while addressing clock frequency drift anomalies.
  • Developed a modified gravitational-matter field action compatible with three-dimensional flat spacetime.
  • Derived Einstein field equations using the standard variational principle and tensor contraction in the classical limit.
  • Proposed two experimental schemes: one for clock drift control and another for measuring speed of light independently.
  • Successfully derived Einstein field equations under new assumptions of spacetime and time representation.
  • Reported no need for extra dimensions, hidden variables, or redundant particles to unify the theories.
  • Outlined experimental schemes that are predictive and falsifiable, enhancing the theory's credibility.

Cite This Study

jingkai cheng (2026) studied this question.

synapsesocial.com/papers/6a28fef66f82f25be989c0f0https://doi.org/10.5281/zenodo.20599374
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Time Is Not a Dimension: A Paradigm Innovation of Spacetime Based on Local Temporal Degrees of Freedom2026
  2. 2Local Time Freedom and the Spacetime Decoupling Hypothesis with Experimental Verification Schemes2026
  3. 3A Unified 4D Euclidean Theory of Space-Time: Time as a Spatial Coordinate, Perceptual Emergence of Quantum Mechanics, Gravity and Cosmology2026
  4. 4Local Temporal Degree of Freedom: Dynamical Model, Mathematical Theoretical Formalism and Self-Consistency2026
  5. 5A Unified Theory of Space-Time with Time as a Fully Spatial Coordinate: The Universe as a 4D Euclidean Dynamic Manifold Emergent from Quantum Entanglement Featuring Temporal Symmetry, Gauging of Inversions, Causal Discretization, and Specific Predictions for LIV/Damping2026