Previously in series: Relative Configuration Space

Warning: The central idea in today's post is taken seriously by serious physicists; but it is not experimentally proven and is not taught as standard physics.
Today's post draws heavily on the work of the physicist Julian Barbour, and contains diagrams stolen and/or modified from his book "The End of Time". However, some of the arguments here are of my own devising, and Barbour might(?) not agree with them.

I shall begin by asking a incredibly deep question:

What time is it?

If you have the excellent habit of giving obvious answers to obvious questions, you will answer, "It is now 7:30pm [or whatever]."

How do you know?

"I know because I looked at the clock on my computer monitor."

Well, suppose I hacked into your computer and changed the clock. Would it then be a different time?

"No," you reply.

How do you know?

"Because I once used the 'Set Date and Time' facility on my computer to try and make it be the 22nd century, but it didn't work."

Ah. And how do you know that it didn't work?

"Because," you say, "I looked outside, and the buildings were still made of brick and wood and steel, rather than having been replaced by the gleaming crystal of diamondoid nanotechnological constructions; and gasoline was still only $4/gallon."

You have... interesting... expectations for the 22nd century; but let's not go into that. Suppose I replaced the buildings outside your home with confections of crystal, and raised the price of gas; then would it be 100 years later?

"No," you say, "I could look up at the night sky, and see the planets in roughly the same position as yesterday's night; with a powerful telescope I could measure the positions of the stars as they very slowly drift, relative to the Sun, and observe the rotation of distant galaxies. In these ways I would know exactly how much time had passed, no matter what you did here on Earth."

Ah. And suppose I snapped my fingers and caused all the stars and galaxies to move into the appropriate positions for 2108?

"You'd be arrested for violating the laws of physics."

But suppose I did it anyway.

"Then, still, 100 years would not have passed."

How would you know they had not passed?

"Because I would remember that, one night before, it had still been 2008. Though, realistically speaking, I would think it more likely that it was ...

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