Space-Time Velocity: Is It True?

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SUMMARY

The discussion centers on the concept of traveling through the four dimensions of spacetime at the constant speed of light, denoted as c. It asserts that an increase in velocity through spatial dimensions results in a decrease in velocity through time, leading to the conclusion that if one were to travel at the speed of light, aging would effectively cease (V=0). The mathematical formulation c²Δt² - Δx² - Δy² - Δz² is introduced to illustrate the relationship between time and spatial displacements, emphasizing that time can be converted into length units using the invariant speed c. The conversation also highlights the relativity of time perception based on the observer's frame of reference.

PREREQUISITES
  • Understanding of spacetime concepts and dimensions
  • Familiarity with the speed of light (c) and its significance in physics
  • Basic knowledge of relativistic physics and time dilation
  • Ability to interpret mathematical formulations related to spacetime
NEXT STEPS
  • Explore the implications of Einstein's theory of relativity on time and space
  • Study the mathematical derivations of spacetime intervals and their applications
  • Investigate the concept of time dilation and its experimental validations
  • Learn about inertial frames of reference and their role in relativistic physics
USEFUL FOR

Physicists, students of relativity, and anyone interested in the fundamental nature of time and space will benefit from this discussion.

strubenuff
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Is it true that we're traveling through the 4 dimensions of space time at the constant, c? This implies that velocity through the spatial dimensions detracts from our velocity through time and vice versa. For example, if I were traveling at the speed of light, I wouldn't be aging because I wouldn't be traveling through time (V=0).
 
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Originally posted by strubenuff
Is it true that we're traveling through the 4 dimensions of space time at the constant, c? This implies that velocity through the spatial dimensions detracts from our velocity through time and vice versa. For example, if I were traveling at the speed of light, I wouldn't be aging because I wouldn't be traveling through time (V=0).

Please define "travel"
 
In converting time to units of length, for use in formuilas and components, we multiply by the invariant speed, c. So many length units per time unit. As a result of that your squared displacement from one event in spacetime to another becomes

c2Δt2 - Δx2- Δy2- Δz2.

If you remain still, your space displacements are all zero, and only your time displacement (aging) is effective. Evidently this is cΔt in length units. This is the origin of the statement that we are moving through time at the speed of light. It is really because we convert time units to length units using c. And we use c because it is the same in all inertial frames of reference.
 
For example, if I were traveling at the speed of light, I wouldn't be aging because I wouldn't be traveling through time (V=0).
Yes, but that will only be true from a perspective that is traveling at c relative to you. From your point of view, your time proceeds normally and it is THEY that do not age.
 

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