On 1/12/2025 11:01 PM, Alan Grayson wrote:
On Sunday, January 12, 2025 at 6:53:35 PM UTC-7 Brent Meeker wrote:
That's a rather different paradox and of course the answer is
nothing would happen to the object. The mass increase and length
contraction are only /relative/: as measured by the observer the
object is moving relative to.
Brent
It's often stated that the transformed event, usually denoted as the
Primed Frame, is what is actually measured in the primed frame, such
as the E and B fields in E&M. But here is an example something NOT
measured in the primed frame, another is length. So it's hard to
consistently interpret what the LT does. AG
Motion is only relative. The same object at the same time has different
velocity relative to many other objects. It can't collapse into black
hole relative to one and not another. In it's own reference frame it
must be unaffected by inertial motion. In 2 dimensions here's the
Lorentz transformation of points I used in the garage/car paradox:
(defun lorentz-2d (v)
"Returns a function that takes a point (t,x) and
returns the transformed point (t',x')"
(lambda (p)
(let ((t0 (car p))
(x0 (cadr p))
(g (gama v)))
(list (* g (+ t0 (* v x0))) ;; this is v*x0/c^2 where c=1
(* g (+ x0 (* v t0)))))))
Brent
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