What question did this study set out to answer?

To provide a geometric interpretation of gravity by examining time gradients in 4D spacetime.

February 14, 2026Open Access

Geometric Interpretation of Time Gradients in 4D Spacetime and Gravity as an Inertial Force

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To provide a geometric interpretation of gravity by examining time gradients in 4D spacetime.
Analyzed the role of the metric tensor in describing gravity in weak fields.
Calculated time dilation effects and their relation to gravitational acceleration.
Explored the concept of free fall in the context of proper time paths.
Identified that time dilation can produce gravitational acceleration comparable to 9.8 m/s².
Demonstrated that in the absence of time gradients, weightlessness occurs for objects.
Provided a kinematics-based understanding of gravity linked to educational approaches.

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Uncovers the geometric basis of gravity in weak fields, suggesting a novel perspective on time and gravity's interplay.

Akihito Sugawara (2026) studied this question.

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