You are off-topic. This belongs in .relativity instead.
> The spacetime (as whole ) is cold continuum.
No. Spacetime is a mathematical model of the geometry of the universe.
Temperature does not feature in it directly.
> The light travels in this continuum in a straight line.
If, and only if, the spacetime through which it travels is flat (pseudo-
> But near the hot masses of stars light can be curved.
It does not matter that the stars are hot. All that matters is the density
of stress, energy and momentum. Mostly energy density, and as rest energy
is equivalent to mass, mass density matters most.
IOW, a brown dwarf or a Sun-like dwarf of the same mass as a red giant will
“curve light” in the same way, even though its average temperature is much
> Not spacetime curves but the movement of light is curved by hot masses.
Black holes (without jets) are among the coldest things there are as they
emit only Hawking radiation, if any; yet they “curve light” that much that
they can act as gravitational lenses, magnifying objects far behind them for
us to observe.
This refutes your argument.
> [Further misconceptions and fallacies]
Pass “Physics 101” first.
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