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Beginning
1
SR
Toggle SR subsection
1.1
spacetime unchanged, coordinate system "rotated"
1.2
invariant interval
1.3
rapidities add to arbitrarily big positive or negative numbers
1.4
standard SR effects
1.5
tachyons: what if they exist?
1.6
past time cone, here-now, future time cone, elsewhere, null boundaries
1.7
avoid wrong assumptions, otherwise paradoxes
1.7.1
Ladder (= pole-barn) paradox
1.7.2
Multiply connected twins paradox
1.8
Dynamics
2
GR
Toggle GR subsection
2.1
co- versus contra-variant: how coordinates and basis vectors change
2.2
a coordinate is a scalar field, coordinate singularity
2.3
vector and 1-form field bases
2.4
charts, atlas, manifold
2.5
parallel transport
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Special relativity and steps towards general relativity
SR
[
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|
edit source
]
spacetime unchanged, coordinate system "rotated"
[
edit
|
edit source
]
invariant interval
[
edit
|
edit source
]
rapidities add to arbitrarily big positive or negative numbers
[
edit
|
edit source
]
standard SR effects
[
edit
|
edit source
]
tachyons: what if they exist?
[
edit
|
edit source
]
past time cone, here-now, future time cone, elsewhere, null boundaries
[
edit
|
edit source
]
avoid wrong assumptions, otherwise paradoxes
[
edit
|
edit source
]
Ladder (= pole-barn) paradox
[
edit
|
edit source
]
Multiply connected twins paradox
[
edit
|
edit source
]
Dynamics
[
edit
|
edit source
]
GR
[
edit
|
edit source
]
co- versus contra-variant: how coordinates and basis vectors change
[
edit
|
edit source
]
a coordinate is a scalar field, coordinate singularity
[
edit
|
edit source
]
vector and 1-form field bases
[
edit
|
edit source
]
charts, atlas, manifold
[
edit
|
edit source
]
parallel transport
[
edit
|
edit source
]