If Einsteinian relativity physics is to be taken seriously --
and it is within the scientific community-establishment taken unquestionably so, because science's only criterion of truth is
experimental verification -- then this physics confronts us with
weird consequences.
I've already addressed one of them in my recent post on mental acts.
What about the question of being posed within relativistic
space-time? For simplicity, I'll consider here only the flat
Minkowskian space-time of special relativity, but similar
thoughts apply mutatis mutandis to general relativity
with its curved Riemannian space-time. Note that each
observer-subject in relativity physics has its own reference
frame, that is, its own space-time manifold.
In relativity physics there is no longer any 3D-Euclidean space
(Where specified as (x,y,z)) with an add-on 1D-temporal line
(When specified as t) to count/measure time absolutely within
the 3D-space. This was the situation in Newtonian mechanics, for
time was its own dimension and hence absolute, a single clock
for the entire universe. In relativity, time becomes relative to
the absolute movement of light (or, more, generally,
electromagnetic radiation) as received by an observer-subject,
thus spatialized and tied to the three spatial dimensions, so
that the relativistic physicist now speaks only of 4D-events
in space-time (x,y,z,t). The 'distance' between space-time
events is now neither purely spatial as measured Euclideanly as
d^2 = x^2+y^2+z^2,
the square of the distance is the 'Pythagorean' sum of the squares of the 3 dimensionals,
nor is it purely temporal as measured by
d^2=t^2,
i.e. a time-interval given by the formula, the square of the
temporal distance is the square of t.
How, then, is 'distance' between events measured in flat relativistic
space-time? It is measured by the so-called 'metric' on the
Minkowskian space-time manifold as defined by the space-time
distance formula:
s^2=(x^2+y^2+z^2)
- t^2 = d^2 - t^2,
that is in words, the squared space-time
distance between events is the difference between squared spatial
distance and the squared temporal
interval ('distance'). This is weird enough, but it's the
way mathematical relativity physics proceeds. In general
relativity, the metric on the space-time manifold just gets
(much) more complicated and harder to handle in the
(tensor-differential) equations.
What are some consequences of this conception of distance
between space-time events? One is that there is zero space-time distance between events if
and only if the square of their spatial distance is
equal to the square of their temporal distance, that
is:
0=(x^2+y^2+z^2) -
t^2 = d^2 - t^2,
which implies
d^2 = t^2,
so that
d = +/- t,
or in words: the spatial distance is equal to
plus or minus the temporal interval-distance.
Let's take a simple example, the Sun in our
Earth's solar system. The Sun's distance
from Earth is approx. 150 million km, and it
takes light approx. 8 minutes to reach the
Earth over this spatial distance.
What does it mean for an observer-subject on
Earth for the Sun to 'be'? For science it is
axiomatic that only that 'is' which can be
registered as a signal received sensuously in
the here-and-now. Only that which is
here-and-now 'is', i.e. exists, for modern
science. How does the Sun exist in the
observer-subject's here-and-now? Answer: Only
if the space-time distance between sun-events
and observer-events is zero.
What does that mean?
Events always have the form (x,y,z,t),
i.e. (where,when) in space-time.
The Sun's (where,when)
has zero space-time
distance from the
observer's (where,when)
if and only if the metric gives
zero, that is,
the square of
the spatial
distance
150^2
km^2 = 8^2
sec.^2.
But this means
that for you
as observer
the Sun only
exists in your here-now at
either plus
eight minutes
in your future
or at minus
eight minutes
in your past
within your
very own Minkowskian
reference
frame! For
you, the Sun
only ever will
be or was, but
never 'is' at
your present
moment. The eight minutes represent the time it takes for you to receive a light-signal from the Sun, or for you to send a light-signal to the Sun.
If you take
the Moon
rather than
the Sun, the
former has an
average
spatial
distance of
approx.
384,000 km.
from the Earth
Since light
travels at
approx.
300,000 km/s,
the Moon is a
bit more than
one
light-second
away
spatially.
Relativistically
speaking, the
Moon only
exists for you
observing it
on Earth at
plus one
second in your
future or
minus one
second in your
past.
And the Sun
and the Moon
exist
'simultaneously'
for you, the
observant
receiver of
light signals,
only separated
by roughly
plus or minus
eight minutes!
You can only
ever observe
those events
whose space-time
distance from
you is zero or
negative:
(x^2+y^2+z^2) - t^2 = d^2 - t^2 <= 0
All those
events with
positive space-time
distance from
you:
(x^2+y^2+z^2) - t^2 = d^2 - t^2 > 0
are
outside your
Minkowskian
light-cone,
hence cannot
reach you, nor you reach them, in
your
space-time and
therefore do
not exist for
you, never
have and never
will.
For you as
observer-subject,
your
space-time,
here-and-now
'event simultaneity'
is an infinite
superposition
of spatial
spheres whose
ever-increasing squared spatial distances match your ever-increasing
squared times
of time future
and time past.
Hence
relativistic
space-time
'simultaneity'
is weirder
than
physicists
care to think.
Since in
relativity
theory, the
subject is
cast
exclusively AS
a receiver (or sender) of
e-m (or
gravitational)
signal-information, how can an active mental act by the observer be
conceived at
all? Only as sending a signal?
Apropos:
Today's smug
& arrogant
mathematico-scientific elite is hell-bent, for instance, on furthering
the reach of
both
relativity
theory and
quantum
mechanics into
the human mind
(a unified
theory of
quantum
gravity is
still sadly lacking).
Hence, for
example, the
famous Sir
Roger Penrose
is working on
a theory of
consciousness
with a
quantum-mechanical
core (cf. my
recent link to
The
Life
Scientific
on BBC4). When
you think
you're
actively
thinking, in
physical
'reality'
you're only
surfing on
underlying
quantum-mechanical
'processes'.
You're
deluded.
One could pose
the question
as to whether
the flat or
curved
relativistic
space-time of
modern
mathematical
physics is at
all existentially
liveable for
us human
beings. Or
does it
represent a
brutal, unliveable truncation
of the
existential
world solely
for the sake
of gaining
mathematically
calculable
access to it
with the aim
of mastering
and
controlling
all physical
movement/change?
It goes
without saying
that today's
scientists
dismiss such
questioning
out of hand as
'unscientific', 'poetic', mere 'philosophical speculation',
'ridiculous',
&c. I have
plenty of hard
empirical
evidence of
this evasion.
Instead of a
genuine,
open-minded
'search for truth',
I experience
savage defence
of the status
quo.
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