Re: [ANN] SR/InertialFrames v2.2.1

On 05/21/2025 04:47 AM, Julio Di Egidio wrote:

# SR/InertialFrames
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SR/InertialFrames v2.2.1
STUDY.Physics.SpecialRelativity/InertialFrames
Physics case studies: Special Relativity: Inertial Frames
<https://github.com/jp-diegidio/STUDY.Physics.SpecialRelativity>
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Contains:
   - Formal analysis
   - Interactive diagram
   - Source code
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## The game
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Bob and Alice pass by each other collinearly at a relative
constant speed.  They reset their respective clocks to zero
at the moment they are colocated.
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## The outcome
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The space-time diagrams make concrete the *clock hypothesis*,
i.e. proper time as **absolute time**, recovering absolute time
as the fundamental dynamic variable, and with it the relativistic
symmetry of the frame perspectives.
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The diagrams also show that, relative to any frame of reference,
any particle moves into the future and in space at a speed that
is *faster than measured* in that frame (i.e. in a plane of
simultaneity) by exactly its Lorentz factor.  And this already
and essentially is **time travel**.
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In particular, the 4-velocity of light in any frame of reference
is (scalarly) **infinite** in all components, its magnitude being
exactly the *measured light* *speed* times its Lorentz factor
(see [the formal analysis] for details).
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## Changes
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Changes from v1.0.0-alpha:
   - [Func] Added isochrones to diagram
   - [Func] Analysis fully rewritten
   - [Impl] Improved code throughout
   - [Tech] Restructured folders <= BREAKING: Most URL's have changed!

A clock hypothesis: is a pretty usual idea, that there
are no closed time-like curves and furthermore that whatever
meets has whatever clocks meet. Einstein called it a, "the time",
which wouldn't be remarkable except many had taken the idea of
his theory that "The Fourth Dimension" was time and was somehow
free to move about it instead of a sort of a river of a ray of time.
The collocation is usually deriving the relative aspects of things
in their perspectives and projections, here about the space-like,
and the light-like, and the time-like.
There are a bunch of different ways to result Lorentzians,
any one of which satisfies being a model of relativity,
so, relativity is an under-defined theory.
I.e., the only statement of Relativity Theory, Einstein's,
is "motion is not absolute". He doesn't say anything about
space or time not being absolute.