Sujet : Re: Humans can't observe time. Even less, the pass of time. Science is an illusion.
De : relativity (at) *nospam* paulba.no (Paul.B.Andersen)
Groupes : sci.physics.relativityDate : 25. Apr 2025, 19:54:41
Autres entêtes
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Den 25.04.2025 00:13, skrev gharnagel:
On Thu, 24 Apr 2025 8:21:30 +0000, Paul.B.Andersen wrote:
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In physics "time" is a well defined, measurable entity.
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https://paulba.no/pdf/Clock_rate.pdf
Just because we can measure it doesn't mean we understand it.
You can't 'understand' why Nature works as she does.
A theory of physics is a mathematical model of an aspect of Nature.
It doesn't 'explain' anything.
The only test of a mathematical consistent theory
is if it can correctly predict what will be measured in experiments.
It takes but one wrong prediction to falsify a theory.
And when we measure it, and different observers disagree with
our measurement, and relativity "explains" the disagreement,
might not really bring us closer to understanding it.
Relativity (SR/GR) does obviously not "explain" anything.
But SR/GR will correctly predict what the different observers
will measure in experiments.
If you think it is self-contradictory that different observers
have different measurements of the observed object's properties,
consider this:
The observer's state of motion can not affect the observed object.
But the observer's state of motion can affect the observer's
measurements of the observed object's properties.
I attended a lecture many years ago where it was explained that
each of the four dimensions were really identical and we were
always moving at the speed of light - along one of them. That
one was our time dimension. That seemed to be very satisfying
at the time. This would mean that there is a basic symmetry
between time and space.
This is nonsense.
Let "the moving object" be a clock.
The metric in flat spacetime can be written:
dτ² = dt² - (dx² + dy² + dz²)/c² (1)
where τ is what the clock shows, c is the speed of light
and t,x,y,z are the coordinates of an inertial frame of reference.
from (1) we have:
(dτ/dt)² = (1 - ((dx/dt)²+(dy/dt)²+(dz/dt)²)/c²) = (1−v²/c²) (2)
where v = √((dx/dt)²+(dy/dt)²+(dz/dt)²) is the magnitude of
the moving object's velocity.
from (2) we have:
dt/dτ = 1/√(1 − v²/c²) = γ
Let the velocity of the clock be:
v₁ = dx/dt component along x-axis
v₂ = dy/dt component along y-axis
v₃ = dz/dt component along z-axis
The components of the four-velocity will be:
U₀ = dt/dτ = γ component along the time axis
U₁ = dx/dτ = (dx/dt)⋅(dt/dτ) = γ⋅v₁ component along the x-axis
U₂ = dy/dτ = (dy/dt)⋅(dt/dτ) = γ⋅v₂ component along the y-axis
U₃ = dx/dτ = (dz/dt)⋅(dt/dτ) = γ⋅v₃ component along the z-axis
If v = 0, the object is stationary and γ = 1.
U₀ = 1, U₁ = 0, U₂ = 0, U₃ = 0
So the "rate of the clock along the time axis" is 1.
That does _not_ mean that the clock is moving at the speed
of light along the time axis (what a weird idea ).
It simply means that the clock is ticking at its normal
rate, one time unit per time unit.
The four "dimensions" are _not_ identical, the temporal "dimension"
is fundamentally different from the spatial "dimensions".
It can be shown that the magnitude of th four-velocity is invariant:
U = - U₀² + U₁² + U₂² + U₃² = -1
More recently, some cracks in that view have appeared due to
quantum mechanics. Vaccaro has published a couple of papers
about "Quantum asymmetry between time and space," (2016)
arXiv:1502.04012.
One idea is that time reversal would be a tough problem for
causality.
-- Paulhttps://paulba.no/