Discussion
Started 5th Jan, 2021

What If the gravity of the earth increased ?

Is that has an effect on the biological life

Most recent answer

Karl Sipfle
NASA Johnson Space Center
It does, reaching its maximum at 5:00 PM.

Popular replies (1)

Ayman S. Al-Hussaini
Port Said University
Wonderful question and interesting discussions.🌷🌷🌷
Fondest regards
7 Recommendations

All replies (81)

Jose Gaite
Universidad Politécnica de Madrid
Certainly. It would have effects on terrestrial and macroscopic life forms.
2 Recommendations
Khaled Elsayed Ossoss
Port Said University
prof. Dr. Jose Gaite, In addition to that, I think that it will have an effect on the shape of the earth, the duration of rotation of the earth around itself, and the sun. As a result of this, there is maybe a change of time on our planet.
2 Recommendations
It's already happening. Tons of meteors fall each day (?).
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Khaled Elsayed Ossoss
Port Said University
Dr. John Hodge, This is a natural phenomenon. When these rock fragments come close enough to the Earth to be attracted by its gravity they may fall to the Earth to become part of it. I mean from the question, what will happen if the gravity increased.
2 Recommendations
Increased mass from the meteors produces increased gravity. So, what will happen will be a continuation of what has happened.
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Khaled Elsayed Ossoss
Port Said University
Dr. John Hodge, I mean what is the Implications for gravity increasing not the Implications for Increased mass from the meteors and its effect on gravity. I understand your point of view.
2 Recommendations
Valentino Straser
UPKL Brussels
I think the opposite question can be asked and that is what would happen if gravity decreased? There are those who have interpreted this question with the compatibility of dinosaur life.
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Khaled Elsayed Ossoss
Port Said University
Dr.Valentino Straser, Thank you for the opposite thinking, I found in the following link that this reduced gravity in dinosaur life was the prospect that the ancient Earth was much smaller in diameter and mass to create a Reduced Gravity Earth then the earth expanded in size from meteors and expanded in gravity during With the passage of time which can be explained more by Expanding Earth theory.
1 Recommendation
Khaled Elsayed Ossoss
Port Said University
The relationship of gravity to size: if two objects have the same mass, but one is smaller than the other, the smaller object will have correspondingly higher surface gravity. so how the ancient Earth was much smaller in diameter with Reduced Gravity.
1 Recommendation
Valentino Straser
UPKL Brussels
Dear kaled,
naturally this is a hypothesis which, among other things, also has implications with the Theory of Terrestrial Expansion formulated in 1975 by S.W. Carey. These are points of view that should be discussed in an interdisciplinary context to verify if other models are compatible.
1 Recommendation
Ayman S. Al-Hussaini
Port Said University
Wonderful question and interesting discussions.🌷🌷🌷
Fondest regards
7 Recommendations
Khaled Elsayed Ossoss
Port Said University
Thanks, Dr.Valentino Straser, and for all the participants in this beautiful discussion and I know that this question has many aspects to be illustrated. 🌷🌷🌷
1 Recommendation
Valentino Straser
UPKL Brussels
Thanks, Dr. Khaled M. Ossoss.
Regards,
Valentino
1 Recommendation
Jose Gaite
Universidad Politécnica de Madrid
Khaled Elsayed Ossoss's original question was about biological effects. This is already a complex enough question. If you add geological effects of look for the cosmic origin of the Earth, the problem becomes unwieldy.
4 Recommendations
Khaled Elsayed Ossoss
Port Said University
I know this Dr. Jose Gaite, the question is branched from us in many aspects, I thank you and all the participants for your participation, and I really enjoyed this discussion. 🌹🌹🌹
2 Recommendations
Valentino Straser
UPKL Brussels
I agree with the complexity of the question, but the problem, in my opinion, must be considered in a holistic sense, since the endogenous activity of the Earth also greatly influences life. it is sufficient to think of the volcanic activity and the extinctions it caused 252 million years ago with the extinctions reaching at least 94%.
2 Recommendations
Jose Gaite
Universidad Politécnica de Madrid
Such questions are treated in the new science of Astrobiology, which tries to combine geology, biology, and other sciences to determine the way that life arises and is affected by the environment. Complex questions, indeed!
3 Recommendations
Valentino Straser
UPKL Brussels
Dear Jose,
I would like to add an important fact to the discussion: the University of Rome has been experimenting with a cure for cancer based on microgravity for some years.
2 Recommendations
Jose Gaite
Universidad Politécnica de Madrid
Valentino Straser, that is interesting! I know that microgravity has been an important subject of research in space physics, but I thought that it had somehow stalled. I did not know of any medical applications! Do you have a reference?
2 Recommendations
Valentino Straser
UPKL Brussels
Dear Jose,
I had heard the news in a popular science television broadcast, I think it can be found on youtube. I am also interested references, especially to know the ranges of microgravity application.
2 Recommendations
Khaled Elsayed Ossoss
Port Said University
Dears prof Valentino Straser and prof. Jose Gaite,
you can check the following link on page 16 to 21where there is an explanation of the link between microgravity and biotechnology and the effect of microgravity on protein crystals and mammalian cell tissue on Earth.
you can see page 5, table 1 where there are Physiological impacts of microgravity
in the following link.
2 Recommendations
Valentino Straser
UPKL Brussels
Thanks.
2 Recommendations
Jose Gaite
Universidad Politécnica de Madrid
Thank you. I will have a look at those papers.
2 Recommendations
Valentino Straser
UPKL Brussels
Dear Khaled,
I found the two links very interesting and appreciated NASA's teaching. I would like to add to the discussion that the Rome experiment allowed 20% of terminally ill liver cancer patients to be cured with the microgravity technique.
Regards,
Valentino
2 Recommendations
Khaled Elsayed Ossoss
Port Said University
Dear prof. Valentino Straser,
you pointed me to another point which the use of microgravity in medicine and pharmaceutical synthesis and it is an interesting path, but I still thinking about if the gravity increased and people will be like as they are in huge centrifugal equipment and we will bind to the earth and facing hardness in the movement. what will happen to the different constructions in the earth and is this has an effect on the consumption of the different types of energy plus what is the change occurs for the shape of the earth and is this has an effect on the time of rotation of the earth around itself and around the sun.
2 Recommendations
Khaled Elsayed Ossoss
Port Said University
Dear prof. Valentino Straser,
If there is a paper or article about the Rome experiment that allowed 20% of terminally ill liver cancer patients to be cured with the microgravity technique. I will thankful to you.
2 Recommendations
Jose Gaite
Universidad Politécnica de Madrid
Thank you again. The Microgravity Teachers Guide is nice and would have been even more useful to me when I was involved in teaching such matters.
I have recalled that I saw in a film that a wealthy man with terminal cancer had rented a place in the International Space Station or some other similar orbiting lab (was the film "Contact"?).
Since you are thinking about the biological effects of increased gravity, I can say that astronauts and even pilots are trained in a centrifuge. By the way, there is a funny scene about it in the film "Space Cowboys".
On the theoretical side, we may speculate how life on Earth would change if the gravity on it, say, suddenly doubled.
2 Recommendations
Khaled Elsayed Ossoss
Port Said University
Dear prof. Jose Gaite ,
It is the first time to know about the film which is called contact.
I hear about the space coboys film and the two films are so beautiful 🤩.
From the other side, your speculate is a good alternative question what will happen if gravity is changed from steadly increase to suddenly doubled. 💡
2 Recommendations
Larissa Borissova
Zelmanov Cosmological Group
We live at the surface of the planet, which gravitates and rotates. We feel gravitation as the force which is directed to the center of the Earth. This force depends of the mass of the planet. We cannot increase the mass of the Earth. But we can study this question or plants and microbes, creating gravitational acting by means of rotation in laboratory. If the plant is on the rotating platform, it is attracted not only to the center of the Earth but also in the direction of acting force of its rotation. The resulting gravitational force is the sum of the gravitational attraction of planet directed to its center but and along the force of the rotation. of plant.
2 Recommendations
Valentino Straser
UPKL Brussels
Dear Larissa,
thanks for your interesting observation.
2 Recommendations
Jose Gaite
Universidad Politécnica de Madrid
Larissa Borissova mentions possble experiments with microbes under increased gravity (as centrifugal aceleration). I do not know if they have been carried out?
Anyway, this question is somewhat different from the question of the full life on Earth, as a holistic system, under increased gravity. I said that ths question is theoretical because neither can we change the Earth gravity nor wait until evolution leads it to a new stationary state. Thus, the question may seem a futile speculation, but it is interesting in Astrobiology.
2 Recommendations
Larissa Borissova
Zelmanov Cosmological Group
We live on the planet in the static field which is described in GR by Schwarzscield metric for the mass in the empty space-time. This gravitational field is generalization of Newtonian gravitational field created by the mass. The center of Newtonian material sphere is the point, but the center of Schwrzschield solution is the sphere of Schwarzschield with the Hilbert radius r_g = 2GM/c^2. It is lesser that 1 cm for the Earth. the surface of the sphere divides our material world fulled by material substance and fields from the world where physical observer cannot exist. We see that the sphere can increase if the mass of the Earth increases. This sphere is the black hole of Newtonian kind: The body at this surface must move with the light velocity. But it is only theory.
2 Recommendations
Valentino Straser
UPKL Brussels
Dear Larissa,
I agree, it is a theory, but this does not mean that we must abandon the analysis of the problem. In this case what would happen to life as we know it?
2 Recommendations
Khaled Elsayed Ossoss
Port Said University
so according to that if we are controlling our weights, we can fly by decreasing our weights or by creating another reverse force to the gravity force.
2 Recommendations
Valentino Straser
UPKL Brussels
If we want to think about increasing the mass and thinking of an anti-gravity effect, just think of a balloon.
2 Recommendations
Willy Verhiest
self emploied
The evolution of mammals which returned to the sea gives an idea about the effect of gravity on body composition. Compare an elephant to a whale.
2 Recommendations
Jose Gaite
Universidad Politécnica de Madrid
Yes, I also said that an increased gravity would have effects on terrestrial animals. Presumably, a shrinking size but changes in shape as well. There have been very large terrestrial animals on earth, now extinct.
2 Recommendations
Valentino Straser
UPKL Brussels
I think it is equally intriguing to analyze the anti-gravity effect exerted by water and its relationship with life.
2 Recommendations
Jose Gaite
Universidad Politécnica de Madrid
Immersion in water effectively cancels gravity for lifeforms with the density of water, by Archimedes' principle :-)
Life arose and developed in water. Therefore, there was hardly any effect of gravity for many millions of years.
1 Recommendation
Valentino Straser
UPKL Brussels
Life developed in water, but are we sure it was the same gravity as today?
2 Recommendations
Jose Gaite
Universidad Politécnica de Madrid
Valentino Straser, ithe magnitude of gravity does not matter, as long as lifeforms have the density of water (by Archimedes' principle).
2 Recommendations
Valentino Straser
UPKL Brussels
Dear Jose, it's an interesting point of view. Thanks
2 Recommendations
Khaled Elsayed Ossoss
Port Said University
So Can I ask, Does the gravity vary across the surface of the earth regardless of the topography?
2 Recommendations
Valentino Straser
UPKL Brussels
I can contribute to the debate by saying that a little while ago I sent a review of a paper where I report data on an instrumental level that relate geophysical events, such as earthquakes, with variations in microgravity. Some studies are also available on Rg.
2 Recommendations
Willy Verhiest
self emploied
Continental drift had a profound influence on evolution of life on earth because geographical isolation is a powerfull motor in darwinian selection. In a paper onRg I correlated it with seasonal variations in centrifugal forces caused by the tilt of the earth axis.
2 Recommendations
Tuan A. Pham
Heriot-Watt University
If its gravity is increased, our blood will be pulled down into our legs, our bones might break. This will happens for all creatures
2 Recommendations
Debashish Mukharjee
GN Khalsa College
If it's a sudden process the first thing which would occur is that the soil and Earth layer which are not firmly held will slide down and result in a flood also the skulls and bones of every animal will break, suppose it's a gradual process it is very often that the organism's on Earth will try to adapt the environment and a new evolution will take place according to that but the problem would occur with space researchers because the thrust produced by any fuel won't be enough to propel any rocket and hence they will have to find a new alternative, an alternative for the living.
2 Recommendations
If suddenly, the earth would compact itself, the biogeochemical cycles of the planet would change and with this life itself would be modified. At first the only living organisms would be some microorganisms that are relatively independent of gravity.
2 Recommendations
Valentino Straser
UPKL Brussels
Dear Perla,
your final sentence represents an interesting connection with the evolutionary processes of life on Earth.
2 Recommendations
Khaled Elsayed Ossoss
Port Said University
The Issue is related to us as humans if we can adapt to the change or may be exposed to Extinction and other creatures will be found.
1 Recommendation
Khaled Elsayed Ossoss
Port Said University
It is a good explanation and the earth will be fully filled with water and will be called a water planet. so we must manufacture anything that can be float on the surface of the water as it has happened in the flood, but in this case, it will be called as an earth flood.
2 Recommendations
Khaled Elsayed Ossoss
Port Said University
Dear
Perla Montesino-Sareh
,
It is a good explanation that will lead to a change in time, not only how many hours in the day, but also a change in days of the year. I think the birds will be facing hardness in the flying or maybe disappear. the air will be denser as if you are exposed to pressure.
3 Recommendations
Khaled Elsayed Ossoss
Port Said University
we must look for the future and what will expected results related to this change, in order to cancel the worthier. so we must imagine more and more what will happen if.
2 Recommendations
Valentino Straser
UPKL Brussels
Dear Khaled,
I believe an important contribution will come from space missions and from the effects that microgrvity causes in the human organism.
2 Recommendations
Priya Gupta
Chandigarh Group of Colleges
Yes..it will effect the biological life ..as our body movement is proper due to this gravity...so movement get disturb due to change in gravity
2 Recommendations
Valentino Straser
UPKL Brussels
At this point one of the most fascinating problems arises: what is gravity? If we think about the size of dinosaurs and their blood circulation, the question associated with gravity becomes even more intriguing.
2 Recommendations
Willy Verhiest
self emploied
No single mamallian species has to adapt so fast to a change in gravitaty than homo sapiens because we can can come from a position of laying down to a standing position within less than one second and the blood supply to the brain must continuously be guaranteed. The orthostatic adaptive mechanisms are so strongly developped in humans that they problably play a role in the developpement of 'essential' hypertension.
2 Recommendations
Jose Gaite
Universidad Politécnica de Madrid
I had a colleague that had experienced high gravity in a fighter plane (a rather unpleasant experience). I have found an article that describes hypergravity, in particular, biological experiments (https://en.wikipedia.org/wiki/Hypergravity).
2 Recommendations
Valentino Straser
UPKL Brussels
Thanks Jose, I will read your suggestion with pleasure.
2 Recommendations
Khaled Elsayed Ossoss
Port Said University
Thanks, prof Jose Gaite, I will read it.
1 Recommendation
Willy Verhiest
self emploied
The force that is experienced in an accellerating fighter plane is not a gravity force ( G is an universal constant) the acceleration of the plane gives the supplementary force.
Long stay in a space capsule has profound physiological effects on the human body which are well known. The lack of gravity force on the cerebrospinal liquor seems to have negative longturn effects on the cerebral function which could be an great obstacle to a long stay (years) in space.
2 Recommendations
Jose Gaite
Universidad Politécnica de Madrid
Presumably, you are not acquainted with Einstein's Principle of Equivalence: the acceleration experienced in an fighter plane is totally equivalent to a gravity acceleration. Please have a look at https://en.wikipedia.org/wiki/Equivalence_principle
2 Recommendations
Khaled Elsayed Ossoss
Port Said University
Does the body gravity increase when the human died. Does the force will be zero against the gravity of the earth. As you can see that, the one becomes heavier when he loses consciousness. So our body produces the power against gravity to make us stand on our legs. Does the weight of the human rise or decline after death and is this the nervous and muscle systems have a role to combat the gravity.
1 Recommendation
Willy Verhiest
self emploied
@ jose gaite
I agree. I meant: the acceleration force in an airplane comes or can come on top of the gravity accelerating force of the earth.
2 Recommendations
Khaled Elsayed Ossoss
Port Said University
Thanks so much for your participation and the value of your informative contributions to this discussion. 🌷 🌷 🌷
1 Recommendation
Valentino Straser
UPKL Brussels
I found the news of the change in weight, due to gravity, of a living and dead organism very interesting. Can you suggest me a bibliographic reference?
Thanks in advance
2 Recommendations
I can answer in the affirmative the question of increasing gravity on Earth and even show, if interesting, calculations of how much the mass and size of the Earth has increased over 100 million years. The huge size of dinosaurs was possible due to low gravity due to the low mass of the Earth.
The calculations are based on the fact that streams of ether constantly flow into our Earth (as well as into any space object). The density of ether was determined. It is determined how much ether is spent on warming up the Earth's core, how much ether goes on synthesizing chemical elements, how much ether flows back from the Earth to ensure the cycle of ether in the Universe.
2 Recommendations
Willy Verhiest
self emploied
The hughe size of the dino's and their disappearance is explained by darwinian selection.
2 Recommendations
That's right. Gradually, the mass of the Earth grew, and gravity grew - accordingly, dinosaurs evolved, their size decreased. Compare dinosaurs of the same species 150 million years ago and 100 million years ago.
2 Recommendations
Jose Gaite
Universidad Politécnica de Madrid
There is a source of Earth mass increase that is more plausible than ether, namely, dark matter, which is known to be substantially more abundant than regular visible matter. But gravity depends on the size of the Earth as well. I think that your theory is not in accord with geology.
2 Recommendations
Valentino Straser
UPKL Brussels
I believe the massive extinctions of the Permian and Triassic and the geological and paleoenvironmental implications may, in a future of research, offer new insights for the evolutionary theory and compatibility of beings such as dinosaurs.
3 Recommendations
Уважаемый Jose Gaite
To begin with, I will show the principle of gravity due to ether.
Each space object has a spherical shape and draws in ether streams from all sides of space. It is known to accelerate the flow of ether - this is the acceleration of free fall (USP), which is different for each space object. The airflow rate at any distance from the space object can be determined by the known USS value at that distance. When two space objects (Earth - Moon, Sun - Earth, etc.) are at some distance from each other, they are attracted to each other due to the interaction of multidirectional streams of ether drawn by these objects. The conclusion and explanation of the gravity formula are shown in my article. As an analogy, one can consider the attraction of the hoses of two vacuum cleaners if the hoses are suspended and directed to each other and the vacuum cleaners are turned on.
Ether streams in the center of the Earth are transformed into chemical elements, create thermal energy. As a result, we have a hot core that will never cool, as well as a set of chemical elements that increase the mass of the Earth, increase gravity on Earth (on other space objects, processes are similar). Oil, natural gas, etc. did not originate from plants, they were formed and formed constantly from chemical elements arising in the Earth's core.
2 Recommendations
Valentino Straser
UPKL Brussels
Dear All, when we talk about the ether and the force of gravity, we must distinguish between an "attraction" or a "push to the back", as Newton wrote. If I remember correctly the migration of the elements towards the center of the Earth and their subsequent transformations had been hypothesized by the great Russian chemist Dmitry Ivanovich Mendeleev.
2 Recommendations
Valentino Straser
UPKL Brussels
Dear All, in this debate we can introduce a new element, namely gravity affects time, as known from the famous Pound-Rebka experiment.
What about life?
Regards,
Valentino
2 Recommendations
Gravity doesn't affect time. Gravity reduces the velocity of photons released against gravitational forces. This leads to the effect of redshift of the Earth. The attached article is described in more detail. Paragraph 4 describes the Pound-Rebka experiment.
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Valentino Straser
UPKL Brussels
Thank you for this prompt remark.
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Md. Tarek Hossain
American International University-Bangladesh
When gravity increase then its effect the velocity that why efficiency decreases but it doe's affect time...
5 Recommendations
Willy Verhiest
self emploied
Gravity does not affect the velocity of light which is always constant. Gravity transforms space and a photon will follow that space but always at the same velocity.
3 Recommendations
Avadh Kumar
Physical Research Laboratory
Here, I'm discussing that, Is the gravity of Earth increasing or not?
Every day, more than 100 tons of debris, meteorites, and dust sand-size particles strike the Earth. It happened due to continuous impact and collisions are taking place in the asteroid belt. So meteoroids are ejected from the asteroid, later when it is landed on Earth, it known as Meteorite.
Mass of Earth= 5.972 × 10^24 kg
Striking material= 9.07 × 10^4 kg (approx.)
Although it is very less compared to the mass of Earth. but it must have significant changes in the gravity of Earth.
So the increment in the gravity of Earth lead following change-
  • Due to the decrement in the rotational speed of Earth, the day will be longer than 24 hours
1 Recommendation
Arezoo Agharezaei
University of Tehran
I think this could help you;
What If Earth’s Gravity Was Stronger?, science, Pierre Köchel, March 20, 2019,
1 Recommendation
Karl Sipfle
NASA Johnson Space Center
It does, reaching its maximum at 5:00 PM.

Similar questions and discussions

If the cosmos is (1) finite-content, or (2) infinite-content: Is there finite or infinite creation?
Discussion
72 replies
  • Raphael NeelamkavilRaphael Neelamkavil
In case (1) the cosmos consists of finite-content universes or sub-universes, or (2) it contains an infinite number of finite-content universes --- what would be the most general physical scenario of the so-called origin and of course of the evolution of the cosmos
Some of you may jeer at me for posing this question. I do not want to prejudice anyone with the existence or not of a Source -- for it is impossible for me with you all. I want only to get well thought-out, cosmologically well-defensible, opinions.
Now a source of immediate attack may be the argument that the question is already indefensible. Maybe! Some might also say that the centuries of science and philosophy have proved it to be the case or not the case. Maybe!
In the face of all these,
My FIRST question is this:
CAN WE ASK THE PERENNIAL QUESTION OF THE ORIGIN OF THE COSMOS?
SECONDLY, another question is imaginable:
If there is no creative Source in both the above cases of finite and infinite content, WHAT WOULD MEAN BY ETERNAL EXISTENCE?
THIRDLY:
Can this question be avoided permanently by claiming that that TIME AND ETERNITY EXISTS ONLY WITH THE COSMOS, as if time were a thing that exists, or were an ontological predicate of the cosmos?
FOURTHLY:
Suppose there is a Source. What would be the modalities by which such a Being could be thought to exist?
Please note: I am not favouring here theism or pantheism or pluritheism, or anything of that sort. I would like to sieve through expert opinions NOT TOO PREJUDICED BY EMOTIONAL AVERSION OR EMOTIONAL ATTACHMENT TO THE EXISTENCE OF A CREATIVE SOURCE.
The rest of the questions will surface in the course of time, as answers and questions come in.
NO.4 How do light and particles know that they are choosing the shortest path?
Discussion
19 replies
  • Chian FanChian Fan
Mach said [1], the principle of minimum xxxx, are they the natural purpose?
Born said in his "Physics in My Generation"[2], that while it is understandable that a particle chooses the straightest path to travel at a given moment, we cannot understand how it can quickly compare all possible motions to reach a point and pick the shortest path —— a question that makes one feels too metaphysical.
Speaking of the Hamiltonian principle and the minimum light path, Schrödinger recognizes the wonder of this problem [3]: Admittedly, the Hamilton principle does not say exactly that the mass point chooses the quickest way, but it does say something so similar - the analogy with the principle of the shortest travelling time of light is so close, that one was faced with a puzzle. It seemed as if Nature had realized one and the same law twice by entirely different means: first in the case of light, by means of a fairly obvious play of rays; and again in the case of the mass points, which was anything but obvious, unless somehow wave nature were to be attributed to them also. And this, it seemed impossible to do. Because the "mass points" on which the laws of mechanics had really been confirmed experimentally at that time were only the large, visible, sometimes very large bodies, the planets, for which a thing like "wave nature" appeared to be out of the question.
Feynman had a topic of minimum action in his "Lecture of Physics" [4]. It discusses how particle motion in optics, classical mechanics, and quantum mechanics can follow the shortest path. He argues that light "detects" the shortest path by phase superposition, but when a baffle with a slit is placed on the path, the light cannot check all the paths and therefore cannot calculate which path to take, and the phenomenon of diffraction of light occurs. Here, Feynman defined the path of light in two parts, before and after the diffraction occurs. If we take a single photon as an example, then before diffraction he considered that the photon travels along the normal geometric optical path, choosing the shortest path. After diffraction occurs, the photon loses its ability to "find" the shortest path and takes a different path to the diffraction screen, with different possibilities. This leads to the concept of probability amplitude in quantum mechanics.
To explain why light and particles can choose the "shortest path", the only logical point of view should be that light and particles do not look for the shortest path, but create it and define it, whether in flat or curved spacetime. Therefore, we should think about what light and particles must be based on, or what they must be, in order to be able to define the shortest paths directly through themselves in accordance with physics.
[1] Ernst Mach, Popular Scientific Lectures.
[2] Born, M. (1968). Physics in My Generation, Springer.
[3] Schrödinger, E. (1933). "The fundamental idea of wave mechanics. Nobel lecture " 12 (1933).
[4] Feynman, R. P. (2005). The Feynman Lectures on Physics(II), Chinese ed.
Keywords: light, Fermat principle of the shortest light time, Hamilton principle, Feynman path integral, Axiomatic

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