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True.
When you try to quantize gravity, you smash two totally incompatible views of time together.
In relativity, time is a dimension - treated mathematically as part of a 4D spacetime manifold. So in relativity, time is embedded in the Minkowski metric tensor and is variable (dilates with motion/gravity and curves):
In Quantum Mechanics time is a fixed external parameter. It is a scalar parameter in the Schrodinger Equation that flows externally
But what's funny is, the Wheeler–DeWitt Equation which attempts to describe the quantum state of the universe:
𝐻Ψ=0
there’s no time in this equation 😂
why they did they go through so much trouble in finding it.
Wheeler–DeWitt Equation
That's a long time ago. But isn't here a functional in spacetime, i.e., time treated at the same level as spatial dimensions?
By the way, we have Mathjax support here, so you can use LaTeX formatting. You just need to use double $$ instead of single ones for your equations.
Haha, you made me reopen my laptop in bed and check the Wikipedia page. I see your point now about there being no time in this equation.
Yeah :)
By the way, we have Mathjax support here, so you can use LaTeX formatting. You just need to use double $$ instead of single ones for your equations.
Ohkk, thanks!
Isn't that equation just a snapshot in time, though. If time has been assigned a value, then it won't appear as a variable.
Yes, so far we have been learning about it only through the differentiated values, the snapshots, idk if there is a complete equation to define it or if it will ever be defined
I only studied quantum mechanics at the undergrad level, so I look forward to @south_korea_ln unmuddying these waters.
My recollection is that time is more absolute in quantum mechanics than it is in relativity. Simultaneity is restored as a concrete concept, for instance, and t enters the equations separately from x, so time is it's own thing rather than being related to space.