It's the _Density_ of mass-energy that determines...



Hi eye_n_stein, Answering your second question first,
2D models are often used to better understand 4D, or even 5D models.

For exaample, because Space_Time dissipates as entropy always goes up,
from infinite density and no entropy at the start of the big bang
to a perfect vacuum and infinite entropy at the end,
....Space_Time is negatively curved, hyperbolic.

Think of it as a 2D hyperbola or a 3D horn with no edges.
I posit that entropy is the fifth _Spatial_ dimension, by the way,
Space_Time_Entropy, a.k.a. cosmic time.

Time too is intrinsically spatial, I posit,
and it's merely unknowns that make it seem otherwise.

For example, in GR, the spatial nature of time is obvious because
the orbits are so predictable.

While, in comparison, the exact location, path, spin,
and density of photons are not well known,
making the spatial nature of time much less obvious, but still just as true.

I posit that randomness is naught but the byproduct of unknowns,
making narture appear to be a casino... where the house always wins in the end.

The expansion of Space_time over cosmic time
is accerating at a contant rate, GR's Lambda, the comological constant.
See the latest landmarks in cosmology, Riess in 1998 and WMAP in 2003:

WikiPedia.ORG/wiki/Timeline_of_cosmology

So I posit that entropy is an intrinsic property of Mass_Energy.
There was no start to the big bang,
eveything has just always been dissipating.

With no beginning or end, humans, water, our density,
are not in the middle of anything... no anthropic principle is needed.

So where is meaning then ? Answer:

All meanaing is local, here and now... the rest is inane.
I'm God's prisoner, and God to my prisoners.

You asked: plzz... guys tell me why mass curves space-time ?

Mass doesn't curve space-time,
it's the _Density_ of mass-energy that determines
how much the standard second is dilated and, proportionaly,
-- so that the speed of light in an ideal vacuum is always the same --,
how much the standard meter is enlongated.

Given a particular medium, e.g. an ideal vacuum,
the speed of light is always constant,
just like the speed of sound is always constant, given a particular medium.

Light waves even have something analogous to sonic booms,
Cherenkov radiation, see: WikiPedia.ORG/wiki/Cherenkov_effect

Currently, neither best observations nor best theory
allow us to analyse the internal structure of an ideal vacuum.

Newton's equations don't have General Relativity's precision
and fall apart completely at extreme densities.

GR is ultra high tech compared to Newton's equations,
as it involves things like high precision clocks, GPS constellations,
particle accelerators, high precision obriting telescopes, etc.
See Wormley's recent citing: PhysicsToday.ORG/vol-59/iss-3/p10.html

Relativity is about what we observe, the information we get,
when measuring extreme densities or where high precision is required.

When measuring ultra tiny particles moving near the speed of light
or supermassive stars, we see standard clocks, such as the SI second,
ticking much slower and standard rulers, such as the SI meter,
being much longer.

For supermassive stars, this so-called time dilation and length contraction
is simply a function of special relativity and escape velocities.

For example, when observing either an ultra tiny particle moving near C
or a hyper massive black hole where the escape velocity is near C,
it'd take a virtual eternity for the object's second hand to complete a tic
and we'd observe that it was occupying virtually no space
because it'd be measured against a virtually infinitely long yard stick.

Relativity posits that all the laws of physics,
-- including the speed of light in an ideal vacuum --
should be the same everywhere all the time,
irregardless of one's speed or acceleration.

But there's no place with no magnetic fields, no gravitational fields,
no Unruh radiation, absolute zero and a perfect vacuum.

Where relativity obviously fails is the fact that
no place in nature could _Ever_ have infinite density,
because infinite gravitational acceleration implies infinite Unruh radiation,
so it'd have to emit more energy then exists in the cosmos.

Likewise, no place could ever have a perfect vauum,
because it takes energy to maintain a vacuum,
so it'd consume more energy than exists in the cosmos.

.



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