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Time Dilation and the Twin Paradox Revisited

Richard Peters

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Abstract

Conventionally, time dilation is defined as the decrease in the rate of flow of time in a frame moving relative to an outside observer. I argue that any process (exemplified by, say, a clock) that moves through space takes longer than that process would take if that process were stationary relative to space. The space that I define in this context is a field (of particles as yet undefined) that I label the temporal-inertial (TI) field. The relation between the TI field and the Higgs field or Higgs fields is undefined in this conjecture. I argue that the TI field constitutes the one and only frame of reference for motion by which time dilation can be reckoned. Furthermore, the velocity of a process relative to the TI field is the one and only cause of time dilation for that process. Accordingly, time dilation is not a decrease in the rate of flow of time in a moving frame, but an increase in the time taken by a process in motion relative to the TI field. If we measure time by the cycle time of a process (e.g. the ticking of a clock) it doesn’t mean that time slows down when the process is in motion, it means that the process takes longer when moving relative to the TI field. The twin paradox is readily resolved by reckoning the motion of the traveling twin relative to the space through which the twin (or clock) moves, not relative to the reference, stationary twin (or clock). The time dilation between two clocks moving in space is shown to be based on each clock’s velocity relative to the TI field, not on the difference of their velocities relative to each other. The TI field is shown to be subject to gravity. Gravitational time dilation of a process (e.g. a clock) is shown to be caused directly by the velocity of the process relative to the TI field, not by the graviton flux at the process.

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Conventionally, time dilation is defined as the decrease in the rate of flow of time in a frame moving relative to an outside observer. I argue that any process (exemplified by, say, a clock) that moves through space takes longer than that process would take if that process were stationary relative to space. The space that I define in this context is a field (of particles as yet undefined) that I label the temporal-inertial (TI) field. The relation between the TI field and the Higgs field or Higgs fields is undefined in this conjecture. I argue that the TI field constitutes the one and only frame of reference for motion by which time dilation can be reckoned. Furthermore, the velocity of a process relative to the TI field is the one and only cause of time dilation for that process. Accordingly, time dilation is not a decrease in the rate of flow of time in a moving frame, but an increase in the time taken by a process in motion relative to the TI field. If we measure time by the cycle time of a process (e.g. the ticking of a clock) it doesn’t mean that time slows down when the process is in motion, it means that the process takes longer when moving relative to the TI field. The twin paradox is readily resolved by reckoning the motion of the traveling twin relative to the space through which the twin (or clock) moves, not relative to the reference, stationary twin (or clock). The time dilation between two clocks moving in space is shown to be based on each clock’s velocity relative to the TI field, not on the difference of their velocities relative to each other. The TI field is shown to be subject to gravity. Gravitational time dilation of a process (e.g. a clock) is shown to be caused directly by the velocity of the process relative to the TI field, not by the graviton flux at the process.

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Available abstract

Conventionally, time dilation is defined as the decrease in the rate of flow of time in a frame moving relative to an outside observer. I argue that any process (exemplified by, say, a clock) that moves through space takes longer than that process would take if that process were stationary relative to space. The space that I define in this context is a field (of particles as yet undefined) that I label the temporal-inertial (TI) field. The relation between the TI field and the Higgs field or Higgs fields is undefined in this conjecture. I argue that the TI field constitutes the one and only frame of reference for motion by which time dilation can be reckoned. Furthermore, the velocity of a process relative to the TI field is the one and only cause of time dilation for that process. Accordingly, time dilation is not a decrease in the rate of flow of time in a moving frame, but an increase in the time taken by a process in motion relative to the TI field. If we measure time by the cycle time of a process (e.g. the ticking of a clock) it doesn’t mean that time slows down when the process is in motion, it means that the process takes longer when moving relative to the TI field. The twin paradox is readily resolved by reckoning the motion of the traveling twin relative to the space through which the twin (or clock) moves, not relative to the reference, stationary twin (or clock). The time dilation between two clocks moving in space is shown to be based on each clock’s velocity relative to the TI field, not on the difference of their velocities relative to each other. The TI field is shown to be subject to gravity. Gravitational time dilation of a process (e.g. a clock) is shown to be caused directly by the velocity of the process relative to the TI field, not by the graviton flux at the process.

Key concepts: Time dilation, Reference frame, Twin paradox, Inertial frame of reference, Mathematics, Dilation (metric space), Observer (physics), Physics

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