Space-Time Singularity

Copyright 2016 by Paul Niquette.  All rights reserved.

The puzzle proposes a jet-age commemoration exactly 100 years after the Space-Time Singularity that was created during a certain trans-Pacific voyage of the SS Warrimoo in 1899, as depicted in the sketch below...

Jet in 1999

...and characterized by this table, which adds Category 9 to the Singularity...

 

Postulated Jet Aircraft

Categories

Nose

Tail

1

Hemispheres

Southern

Northern

2

Seasons

Summer

Winter

3

Hour of the Day

Midnight

Midnight

4

Day of the Week

Saturday

Friday

5

Date

1st

31st

6

Month

January

December

7

Year

2000

1999

8

Century

21st

20th

9

Millennium

3rd

2nd


Meanwhile, Category 3 invokes an explicit assumption: That all time pieces on board the plane are set to the same time.  Whereas such might have been the case aboard the SS Warrimoo, it would be unlikely throughout an airliner.

What time is it, anyway?

There's a hint in the puzzle: The navigator aboard the SS Warrimoo used a "star fix" for determining the ship's location.  Makes sense.  Celestial navigation anywhere in the world requires ascertaining the exact time at the Prime Meridian (0o longitude).  Thus chronometers were set in reference to a clock located in Greenwich England, known back then as Greenwich Mean Time (GMT).
Nota bene, the International Date Line (IDL) crosses the Equator along the Anti-Meridian (180o longitude), in the Pacific Ocean, exactly opposite the Prime Meridian.  Thus, midnight on the IDL occurs at noon GMT.
For avigation, GMT continues to be used as the time reference by pilots and chronometers in cockpits, although the terminology has been recently changed to Coordinated Universal Time, which is officially abbreviated UTC.

All well and good for the flight crew; however, in the passenger compartment, the question (What time is it, anyway?) can comprise quite a range of answers, depending on time zone selections in individual watches and laptops since take-off (smart phones and hand-helds were still rare in 1999).  For passengers with time pieces set for anything other than UTC, midnight would not occur at the IDL fly-over.  Those passengers would not be in compliance with the  table above.
Nota bene, within each time zone, when midnight occurs, the date changes for that time zone.  Accordingly, every location within a time zone along the Equator at midnight creates a simple Space-Time Singularity
What are time zones, anyway?

For legal, commercial, and social activities, people in nearby locations on the globe set their respective clocks to the same time.  That has proven to be a good idea.  Time zones standardize quantizing of clock settings to hours.  The earth rotates 360 / 24 = 15 degrees per hour so the boundaries of time zones might be located on meridians 15 degrees apart.  That turns out to be far from ideal. 

S
ophisticated solvers are invited to study the Standard World Time Zones
and confirm the following observations:
  • Time zones are algebraically numbered, starting at zero for the time zone that is located symmetrically with respect to the Prime Meridian (0o longitude).
  • At the Equator, the 0th time zone is subsumed by the Gulf of Guinea.
  • On the opposite side of the earth, we find the IDL crossing the Equator at the Anti-Meridian (180o longitude) in the Pacific Ocean.
  • Unlike the Prime Meridian, the Anti-Meridian marks the boundary between two time zones (-12 and + 12).  Hmm.
  • Most time zone boundaries that cross the equator are in the oceans, which requires a ship or an airplane to create a Space-Time Singularity
  • Time zone boundaries on land often coincide with national borders.  Only two of them are along meridians at the equator.  They are depicted in this sketch...

Bike Singularity

Here is the tabulation for two extraordinary Space-Time Singularities...

 

Bicycle Wheels

Categories

Front

Rear

1

Hemispheres

Southern

Northern

2

Seasons

Summer

Winter

3

Hour of the Day

Midnight

1:00 AM

4

Day of the Week

Saturday

Friday

5

Date

1st

31st

6

Month

January

December

7

Year

2000

1999

8

Century

21st

20th

9

Millennium

3rd

2nd

Western Hemisphere

10

Country

Brazil

Colombia

11

Time Zone

-4

-5

Eastern Hemisphere

10

Country

Uganda

Congo

11

Time Zone

+2

+1


...which suggests opportunities to establish tourism monuments like this one.


Solvers are invited to find another Space-Time Singularity and submit it here.

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