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GM=tc^3
Adventures in Space/Time
Saturday, October 23, 2021
Tuesday, May 21, 2019
Changing ‘Constants’ Are Back
posted by L. Riofrio at 5:57 PM
123 comments
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Monday, May 20, 2019
Wiki Wiki
posted by L. Riofrio at 10:27 PM
54 comments
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Sunday, May 19, 2019
UK Daily Express
posted by L. Riofrio at 8:05 PM
57 comments
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Monday, May 13, 2019
UK Daily STAR
posted by L. Riofrio at 8:33 PM
27 comments
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Tuesday, April 30, 2019
Science News Article
posted by L. Riofrio at 5:36 PM
88 comments
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Tuesday, February 13, 2018
"Dark" Energy is Dead
posted by L. Riofrio at 7:40 AM
180 comments
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Saturday, October 29, 2016
Dark Empire Strikes Back
posted by L. Riofrio at 12:52 PM
180 comments
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Thursday, October 27, 2016
"Dark energy" still doesn't exist
posted by L. Riofrio at 3:48 PM
123 comments
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Tuesday, June 28, 2016
You Are Here
posted by L. Riofrio at 9:19 AM
143 comments
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Friday, September 18, 2015
THE MARTIAN Review: Ridley Scott Returns to Space
posted by L. Riofrio at 10:30 AM
132 comments
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Wednesday, September 16, 2015
THE MARTIAN review coming!
posted by L. Riofrio at 6:56 AM
65 comments
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Saturday, September 05, 2015
Tahoe
posted by L. Riofrio at 8:15 AM
514 comments
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Wednesday, May 13, 2015
Happy Birthday Inge Lehmann
posted by L. Riofrio at 5:31 PM
147 comments
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Sunday, April 26, 2015
Supervoid
posted by L. Riofrio at 5:38 PM
100 comments
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Saturday, April 25, 2015
Type Ia Not All of a Type
posted by L. Riofrio at 3:41 PM
184 comments
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Friday, April 24, 2015
The Solar System
posted by L. Riofrio at 3:47 PM
62 comments
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Tuesday, April 14, 2015
"Variations in the speed of light"
posted by L. Riofrio at 11:38 AM
39 comments
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Monday, April 06, 2015
Project Near Funding
posted by L. Riofrio at 11:37 AM
84 comments
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Sunday, March 29, 2015
The Failure of Peer Review
posted by L. Riofrio at 4:09 PM
28 comments
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Saturday, March 28, 2015
March 2014
posted by L. Riofrio at 11:31 AM
20 comments
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Friday, March 27, 2015
Waves and Dukes

(From Waikiki, 2006)
Duke Kahanamoku was an Olympic swimming champion and a hero to us islanders. He popularised our Hawaiian sport of surfing to the world. At age 20, in an amateur meet, he broke the world record for the 100-meter freestyle. This feat by an islander was so surprising that the athletic union didn't recognise it for years. He won Olympic medals for the US in 1912, 1920 and the Paris Olympics of 1924.
Between Olympics Duke Kahanamoku gave surfing displays around the world. His exhibition in Sydney on December 23, 1914 is regarded as the start of Australian surfing. A statue of Duke stands at Freshwater Beach north of Manly. Thanks to the Duke, Queensland's Coast is known as Surfer's Paradise. He worked as a film actor in Hollywood, like yours truly. While living in Newport Beach, he single-handedly rescued 8 people from a sinking boat using his board.
Future generations will wonder why this planet was called "Earth," since it is mostly covered by water. If one grew up on an island, it is obvious that we are surrounded by the sea. Pacific navigators colonised the islands from Asia to Hawaii in a process that took centuries. That is a natural model for exploring other solar systems.
As we have seen many times, waves are important to physics and astronomy. The imprint of waves in the CMB can determine whether inflation happened or a changing speed of light. Maxwell's equations show that visible light, infrared and gamma radiation are all electromagnetic waves. Contributor Nigel has explored the waves in nuclear explosions. Waves touch us in sound and in the tides. The effect of tides on the Moon is one more clue that c has changed.
Because sound waves travel in air and water waves through water, it was long assumed that light travelled through some medium. Since light travels throughout the Universe, this ether was presumed to be invisible and fill all Space, just like "dark energy." Maxwell himself believed that Earth travelled through ether like a ship through water. The inferrence of an invisible ether lasted until Einstein introduced Special Relativity.
In 1924, while Duke Kahanamoku was competing in the Paris Olympics, another duke was making waves nearby. A graduate student in Paris named Duc Louis de Broglie suggested that electrons also took the form of waves. Their wavelength is given by the relation h/p. De Broglie published this simple relation in an extremely short PhD thesis.
Like an equation about light, Duc De Broglie's thesis was short but revolutionary. His thesis would have been rejected outright except for the support of Albert Einstein, who recommended De Broglie for a PhD. Einstein also nominated De Broglie for the Nobel Prize in 1929--nice to have friends like that. Like Duke Kahanamoku's 100-meter record, Duc de Broglie's achievement almost went unrecognised. Thanks to supporters like Einstein, we enjoy both surfing and De Broglie waves.
posted by L. Riofrio at 10:56 AM
22 comments
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Thursday, March 26, 2015
Evolution of the Moon in 2 minutes 40 seconds
2 minute 40 second video of the Moon's history. According to the most popular theory, the Moon was created when a Mars-sized planet struck the Earth. The impactor was vaporised, and Earth's mantle was blown off into Space. The pieces of mantle were large enough to coalesce in Earth orbit until they formed the Moon. The Giant Impactor theory became popular after Apollo Moon samples were found to resemble parts of Earth's mantle.
The Moon first coalesced less 1/4 its present distance from Earth. Since that time 4.5 billion years ago the Moon has been slowly drifting away. This is interpreted as tidal forces transferring angular momentum from Earth's rotation to the Moon. Apollo's Lunar Laser Ranging Experiment measured this distance increasing at 3.82 cm/yr, anomalously high. If the Moon were today gaining angular momentum at that rate, it would have been in the same place as Earth only 1.5 billion years ago.
If the speed of light were slowly decreasing, time for light to return from the Moon would increase each year, making the Moon appear to recede faster as seen by LLRE. Change in the speed of light, predicted by the simple expression GM=tc^3, precisely accounts for the lunar anomaly. This is striking evidence that the speed of light is slowing today.
posted by L. Riofrio at 11:03 AM
73 comments
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Wednesday, March 25, 2015
Apollo 13

Here I am with the Apollo 13 crew! The Apollo Mission Control room in Building 30 is kept as much as possible in its historic state. The surviving crewmembers are Fred Haise (left) and Jim Lovell (right). Command Module Pilot Jack Swigert passed away in 1982. On the anniversary of Apollo 13 the crew and some ground personnel visited Johnson Space Center to share some memories. The mirror behind me has its own history--it was presented to the Mission Control crew by the Apollo 13 astronauts so they would be reminded who the real heroes were.
One anecdote: When the original explosion occured, the astronauts thought that the LM might have depressurised. They tried to close the hatch between the CM and LM, but for some reason it would not shut. If it could not be closed, the modules could not separate for reentry. Somehow when the time came the hatch closed and the Command Module separated for reentry.
Apollo 13 launched 40 years ago April 11, 1970. Originally called "the flight that failed," today we know that it was their finest hour. The crew on the ground and in Space performed heroically despite overwhelming odds. In an emergency, they "worked the problem." The performance of Apollo crews inspired many of us to solve problems of Space and Time.
posted by L. Riofrio at 11:00 AM
33 comments
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Sunday, March 22, 2015
The Year
posted by L. Riofrio at 4:01 PM
24 comments
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Wednesday, March 18, 2015
The Year of Light
posted by L. Riofrio at 5:50 PM
18 comments
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Monday, February 23, 2015
THE SPEED OF LIGHT Still Moving
posted by L. Riofrio at 6:56 PM
21 comments
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Monday, February 02, 2015
Cosmic Inflation Is Dead
For 35 years the paradigm of "inflation" has dominated studies of the universe. In 1979 Alan Guth and others first speculated that the early universe, at a time of a billionth of a billionth of a billionth of a second, expanded many times faster than light and then stopped. Astronomers searched in vain for any evidence that inflation happened.; In March 2014 the BICEP2 experiment announced to great fanfare the "smoking gun" proof of infl;ation, graviatiional waves from the Big Bang. This weekend news came out that the "evidence" for inflation is just dust. The paradigm is dead.
posted by L. Riofrio at 10:52 AM
17 comments
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Friday, January 30, 2015
BICEP2 Inflation Result Is False
posted by L. Riofrio at 5:56 AM
31 comments
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Saturday, October 18, 2014
Planck Units: M = R = t

"I perceive the Universe as a single equation, and it is so simple..."
--LT Barclay in STAR TREK TNG: "The Nth Degree"
Posting was light the past week, but some work got done. Today we'll return to the subject of Planck units. Max Planck started as a conservative physicist studying atomic spectra. The ultraviolet catastrophe led him to a "act of desperation," the quantum value h. Planck was also instrumental in getting a patent clerk's first papers published in 1905. If not for Planck, the world might have taken decades to hear of Einstein.
Planck noted that combinations of h, c and G led to this "universal" system of units. At the time he had no way of knowing whether h or c were constant. Some science types get lazy and say that h = c = G =1. They are not equal, or they could be used interchangeably.
We'll use Planck's units to express something more useful. A basic principle states that scale R of the Universe is its age, a timelike separation from the "Big Bang." R and t are related by factor c, the "speed of light."
R = ct
This equation (1) caused the Big Bang. As t increases, the Universe expands.
R/l_pl = ct/l_pl
Now l_pl = ct_pl, so:
R/l_pl = t/t_pl
Expressed in Planck units, equation (1) becomes:
R = t
We can simply express that size of the Universe is related to its age. This may appear more palatable to those used to thinking that c is constant.
The Universe can't expand at the same rate forever, for Mass and Gravity slow it down. We do some calculations, and c is further related to t by:
GM = tc^3
Expressing equation (2) in Planck units:
M/t = c^3/G = m_pl/t_pl
M/m_pl = t/t_pl
The Planckian expression of GM=tc^3 was also noted by bloggers Thomas Dent and Lubos Motl. Using Planck units can be misleading, because they are not all constant. Now we can state both equations (1) and (2) in a single line:
M = R = t
Repeat: This must be the simplest equation ever! It relates everything you want to know about the Universe but were afraid to ask: Mass M, size R, age t, expansion rate and how it slows with time. This shows just how powerful mathematics can be. According to STAR TREK, one line may explain an entire Universe.
Planck is not the only one who started as a conservative physicist. When these equations are worked out, the appeal is hard to deny even for the conservative. Arriving at a simple solution makes all the challenges of science worthwhile. The simplicity may someday be noticed by physicists, possibly in the 24th century. This may be an equation far ahead of its time.
posted by L. Riofrio at 7:04 AM
309 comments
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About Me

- Name: L. Riofrio
Full-time scientist. Before graduating I learned that the speed of light is slowing down and originated the "GM=tc^3" theory, which explains the dark energy problem and most physicists still can't explain. More recent work seeks Black Holes in some unexpected places, even within Earth. I've been working at NASA in Houston on studies of the Moon, and have an insider's view of the Space program. Actress in film, television and stages from Honolulu to Houston. In spare time I fight off hostile aliens, explore a strange world and unusual forms of life.
Links
- The latest paper on GM=tc^3
- Another paper on GM=tc^3
- Very short paper on GM=tc^3
- Recent paper on GM=tc^3
- A First GM=tc^3 website
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Previous Posts
- Cumbre Vieja volcano in the Canary Islands looks p...
- Changing ‘Constants’ Are Back
- Wiki Wiki
- UK Daily Express
- UK Daily STAR
- Science News Article
- "Dark" Energy is Dead
- Dark Empire Strikes Back
- "Dark energy" still doesn't exist
- You Are Here
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