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Roger Crew✅❌☑🗸❎✖✓✔ @wrog.mastodon.murkworks.net.ap.brid.gy · 14/02/2026

Also my favorite diagram so far,,illustrating what happens when you jump out of the John Hancock Tower (i.e., the version that has fake gravity):

How to draw this:
Origin poing at bottom center, with horizontal and vertical axes
Diagonal "light rays" (dashed, yellow-outlined) going up-left and up-right from the origin to the edge of the page.
A whole lot of square hyperbolas filling in the upper quadrant between the light rays, each centered on the origin point, symmetrical around vertical axis, curving upwards to either side, and converging on the light rays as asymptotes.

The left half of one hyperbola is emphasized and labeled "goodbye cruel world",
emphasis ends at the vertical axis merging into a horizontal line that proceeds rightwards off the page, labeled "omg, aaaaaaaaa....", and then, after crossing through the up-right light-ray, "WTFF??"

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Roger Crew✅❌☑🗸❎✖✓✔ @wrog.mastodon.murkworks.net.ap.brid.gy · 19/01/2026

I of course goofed and left out the explanation of Lorentz Contraction from the obvious place in Part 3 where I should have talked about it. So I've slotted it in here: wrog.dreamwidth.org/71271.html#hrel… along with a new diagram to […] [Original post on mastodon.murkworks.net]

How to draw this:
From a point in the center of the page
draw two yellow-dashed rays sloping left-up and right-up at 45° to the edge of the page. Mark the right angle between the two rays. ([center] pt)
On each of these mark a point near the corner right before it runs off of the page ([upper-left] pt and [upper-right] pt)

From [upper-right] draw a downwards-left blue arrow, slope 3/2, to a point directly below [center],
label that "moving Now snapshot"
label the destination "Here and Now"

Draw up-left (slope −3/2) blue arrow from "Here and Now" to [upper-left]
label that "stationary Now snapshot"

Draw black segment from [upper-left] slope −2/3 to intersect at right angles with downwards arrow,
label that "1-unit-up Stationary Person"
label intersection "where 1-unit-up Stationary Person is Now according to Moving People"

Draw black segment from [upper-right] slope 2/3 to intersect at right angles with upwards arrow,
label that "1-unit-up Moving Person"
label intersection "where 1-unit-up Moving Person is Now according to Stationary People"

Draw 2 short black segments through "Here and Now"
one slope 2/3 labeled "Moving Here"
one slope −2/3 labeled "Stationary Here"

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Roger Crew✅❌☑🗸❎✖✓✔ @wrog.mastodon.murkworks.net.ap.brid.gy · 16/01/2026

Part 4: wrog.dreamwidth.org/71432.html On the Storrow Drive Theorem This is on how, having developed how one does spacetime for a 1-dimensional universe, how you put back the 2nd and 3rd spatial dimensions, and the key question is what […] [Original post on mastodon.murkworks.net]

How to draw this:

black line, slope 1/2 (rising left to right)
Dots (events) on it, equally spaced:
'Sent' near the left edge
'Halfway Tick' in the middle
'Received' near the right edge
label "Δt" on either side of 'Halfway Tick'

blue line, slope 2, through 'Halfway Tick' to top edge
Dot 'Ground Zero' down a bit the top edge
label "Δz" for segment above 'Halfway Tick'

black line through 'Ground Zero', parallel to first line,
label "Ground Zero Moving Person, no no no aaaaaa"

two black segments join 'Ground Zero' to 'Sent' and 'Received'
label "interval = -y²

larger dot 'Overpass' above+a bit left of 'Ground Zero'
+ dashed yellow segments join 'Overpass' to 'Sent' and 'Received'
depicted as if above the page

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Roger Crew✅❌☑🗸❎✖✓✔ @wrog.mastodon.murkworks.net.ap.brid.gy · 10/01/2026

Part 3: wrog.dreamwidth.org/71271.html …introduce the __Interval__ between two events = (Δz, spatial separation)² − (Δt, time lapse)² and show that this number is an **invariant**, i.e., all slower-than-light observers get the same result […] [Original post on mastodon.murkworks.net]

Pick a pt (1st) anywhere in the upper left quadrant.

From 1st pt, draw two yellow, dashed rays
(*) 45° up+right
(*) 45° down+right
On each, pick a pt (2nd & 3rd) near edge of page.

Connect 2nd & 3rd with dotted red segment;
use as diameter for a (pencilled in) circle
(with 1st point on it somewhere; yay circle theorems!).

Pick a number A ≈ 20. From the 2nd pt, draw:
(*) Black line shallow down+left (45−A)° to circle
(*) Blue arrow steep down+left (45+A)° to circle
Endpoints are 'Event' and 'Other Event' respectively.

From 3rd pt, draw:
(*) Black line (shallow up+left, (45-A)°) to 'Other Event'
(*) Blue arrow (steep up+left, (45+A)°) to 'Event'

Mark 1st pt, 'Event', and 'Other Event' as having 90° angles.

Erase the circle.

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Roger Crew✅❌☑🗸❎✖✓✔ @wrog.mastodon.murkworks.net.ap.brid.gy · 09/01/2026

I also really like how this diagram came out. It's another spacetime-with-left-to-right time grid from the stationary observer POV, showing trajectories of the stationary observer, the (velocity v) moving observer, and all possible in-between […] [Original post on mastodon.murkworks.net]

3 vertices: bottom left, bottom right, top right
forming a right triangle

bottom (horizontal) side is labeled
vₘ = v, vₛ = 0, vₛ−vₘ = −v

hypotenuse (sloped ~35°) is labeled
vₘ = 0, vₛ = v, vₛ−vₘ = +v

(vertical) right side is a blue upwards arrow

Add a slanted downwards-left arrow from the top vertex
to a bit past the middle of the bottom side

Add hints of all possible lines through bottom-left vertex
ranging from horizontal to hypotenuse slope.

Emphasize two of them:

(*) one intersects upwards/vertical arrow
half way up, labeled vₛ = v/2

(*) one intersects slanted arrow
half way up, labeled vₘ = v/2;

Third line, in-between, colored red, labeled vₛ−vₘ = 0

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Roger Crew✅❌☑🗸❎✖✓✔ @wrog.mastodon.murkworks.net.ap.brid.gy · 09/01/2026

Part 2: wrog.dreamwidth.org/71156.html This diagram is, in some ways, the whole ball of wax, essentially summarizing why the moving observer will *not* agree with stationary observer on simultaneity of events. It's a spacetime diagram with […] [Original post on mastodon.murkworks.net]

Yellow dashed rectangle tilted at 45°,
the longer side running lower left to upper right.

Its corners are labeled as follows:
(*) left = 'Sent'.
(*) right = 'Received'.
(*) top = 'Upper Bounce'.
(*) bottom = 'Lower Bounce'.

The center is labeled 'Halfway Tick'.

Black line runs through 'Sent' and 'Received'.
Blue line runs through the Bounces.
The lines cross at 'Halfway Tick'.

Two more magenta dashed lines come out of 'Halfway Tick' at 45°,
dividing the rectangle into quarters.

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