Bee Swarm Relativity: Calculating Time with a Messenger Bee

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SUMMARY

The discussion focuses on the concept of time calculation in a bee swarm scenario, where a messenger bee circles a swarm to keep time. Swarm A sends swarm B, traveling at speed V, to a new hive, and seeks an equation to determine when swarm B's time equals N ticks. The conversation touches on the complexities of time dilation and suggests that the situation may resemble Lorentz transformations used in physics. Participants express curiosity about the mathematical implications of this scenario.

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  • Understanding of time dilation concepts
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  • Basic knowledge of physics related to constant speed motion
  • Mathematical skills for formulating equations
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This discussion is beneficial for physicists, mathematicians, and anyone interested in the theoretical implications of time measurement and relativity in dynamic systems.

Vern
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Consider a special swarm of bees of constant size in which each bee always flys at a constant speed. A time keeper bee keeps time by means of a messenger bee that continously circles the swarm. Each time the messenger bee completes a round trip, the swarm's time advances one tick.

An identical stationary swarm, A, sends this swarm, B at swarm speed, V, to settle a new hive. Swarm A wants to start another journey when swarm B's time equals N ticks.

Now swarm A's time keeper bee needs an equation to determine when swarm B's time equals N ticks.

I wonder if this equation would resemble the transformations that help us determine relative things. :smile:

Just curious.

Vern
 
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This sounds like a very convoluted situation involving time dilation, which is quite simple.

- Warren
 
I was trying to think of a simple situation from which one could develop a Lorentz-like transformation for time dilation. This one should come pretty close :smile:

Vern
 

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