The Cage of Time, Space-Time Between the Stars

Time is what makes any journey across interstellar space difficult. All ship systems have to be maintained for the duration of the flight. Any form of reactor uses up fuel. Reactors also have limited life spans because of radiation and other aging effects. Without a heat source any multi-generational mission will be delivering frozen meat to their destination.

A living organism can repair a limited amount of radiation damage. Cryogenic methods fail if you can’t stop 100% of the incoming radiation (including cosmic rays). Radiation damage is cumulative in cryogenic tissue. If you receive several multiples of a lethal dose of radiation while frozen, revival is impossible.

The following should be considered speculation and should be told to young physicists around a campfire in a deep dark forest.

The properties of Space-Time in interstellar space might have a very nasty surprise.

I have high confidence that the rate of time for a small mass like a spaceship in interstellar space can greatly exceed our local value of one. The rate of time increases at the inverse of the gravitational field strength. A clock on earth is running slower than a clock on an orbital satellite. A clock on an orbital satellite is running slower than the clocks on the Pioneer Spacecraft.

The Milgrom acceleration of <1.2e-10 ms^2 could be around the point where the rate of time is about 2 or the square root of 2.

Time as a barrier arises because it appears than a small mass like a spacecraft the velocity does not increase in direct proportion to the rate of time. (It’s complicated)

(Breaking this into cow size pieces just unhinge your jaw and chew a lot)​
 
Time appears to be fixed to space and this gives rise to some surprising effects. A gravitational field is the result of a mass displacing time. An inertial field is the modification of a masses’ gravitational field so that the mass remains in motion.

The inertial field represents the kinetic energy of a mass. This energy is conserved in all rates of time.

In weaker gravitational space the energy required to displace time decreases. The kinetic energy of a mass is conserved (as energy) not as the displacement of a certain amount of time. The mass must speed up (in faster space) so that that it will displace more time equaling the same amount of energy. A mass speeding up would not seem to be a problem for space travel. The devil is in the details.

(Ship Time, ST) One of the observers (and their clock) will be on a small mass spacecraft traversing faster time rate space. The mass of the ship is too small to allow it to shield itself from the increased rate of space time.

(Fixed Time, FT) The other observer (and clock) will remain in the Sun’s deep gravity well.

The duration of the voyage (using normal physics) would be calculated by dividing the distance by the spaceship’s velocity. The problem is that velocity is time dependent. How much distance do you travel in one second of your local time? If time speeds up by a factor of 2X but your velocity does not increase by at least that same amount then as a practical matter you have slowed down.

Fixed Observer Near Sol Fixed Time (FT)​

To the FT observer the spacecraft’s journey to a nearby star would be noticeably shorter than calculated from the starting velocity (cool). The clock signal received from the spacecraft would show the increasing rate of time. The time rate would peak when the spacecraft is the farthest from both stellar masses. (The Pioneer’s internal oscillator signal was processed to erase this effect). But if the FT observer calculated the velocity of the spacecraft using the clock speed received from the spacecraft then the journey took a lot longer.

Observer and Clock on Spaceship (ST)​

The observer on the spacecraft (ST) will watch their velocity drop versus the rate of accelerated time (direct observation and by comparing to FT’s clock). Velocity increasing by the square root of the time rate (rough possible calculation) means that time is passing quicker but the spacecraft is moving slower (not cool).

Kinetic energy is constant but velocity (using your local time) is not.

The time period for an interstellar journey already looks bad in linear time. If these speculative properties of Space-Time of interstellar space are real then the problems of interstellar travel are a lot worse.

Because of the shielding effects of the Sun’s mass we never experience these effects as we travel around the galaxy through various rates of time.

David Brin wrote a story called the “Crystal Spheres” where inhabited systems were protected by a bubble which could only be broken from the inside. The universe was protecting inhabited systems from invasion by more advanced forms.

If my crude analysis of Space-Time is correct then crossing interstellar space in a small spacecraft can take a lot longer than calculated using constant linear time. The difficulty factor for interstellar travel goes from difficult to nearly impossible.

If I give this physics an anthropomorphic interpretation it would also suggest that Warp Fields and FTL are also impossible. Any galactic civilization would be both patient and stable over giga years. Davis Brin’s “Library Institute, the repository of all knowledge” might exist in some form.

The Fermi Paradox seems to have a hidden term directly written into the physics of spacetime. We are in a cage but on the other hand nothing can easily get to us either.
 
Jul 24, 2020
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SpaceTime Between the Stars is a cold, homogeneous,isotropic, infinite,
eternal vacuum . . . and The Cage of Time is closed in the Gravity sphere.
Every Gravity sphere has its own Cage of Time
 
Time appears to be fixed to space and this gives rise to some surprising effects. A gravitational field is the result of a mass displacing time. An inertial field is the modification of a masses’ gravitational field so that the mass remains in motion.

The inertial field represents the kinetic energy of a mass. This energy is conserved in all rates of time.

In weaker gravitational space the energy required to displace time decreases. The kinetic energy of a mass is conserved (as energy) not as the displacement of a certain amount of time. The mass must speed up (in faster space) so that that it will displace more time equaling the same amount of energy. A mass speeding up would not seem to be a problem for space travel. The devil is in the details.

(Ship Time, ST) One of the observers (and their clock) will be on a small mass spacecraft traversing faster time rate space. The mass of the ship is too small to allow it to shield itself from the increased rate of space time.

(Fixed Time, FT) The other observer (and clock) will remain in the Sun’s deep gravity well.

The duration of the voyage (using normal physics) would be calculated by dividing the distance by the spaceship’s velocity. The problem is that velocity is time dependent. How much distance do you travel in one second of your local time? If time speeds up by a factor of 2X but your velocity does not increase by at least that same amount then as a practical matter you have slowed down.

Fixed Observer Near Sol Fixed Time (FT)​

To the FT observer the spacecraft’s journey to a nearby star would be noticeably shorter than calculated from the starting velocity (cool). The clock signal received from the spacecraft would show the increasing rate of time. The time rate would peak when the spacecraft is the farthest from both stellar masses. (The Pioneer’s internal oscillator signal was processed to erase this effect). But if the FT observer calculated the velocity of the spacecraft using the clock speed received from the spacecraft then the journey took a lot longer.

Observer and Clock on Spaceship (ST)​

The observer on the spacecraft (ST) will watch their velocity drop versus the rate of accelerated time (direct observation and by comparing to FT’s clock). Velocity increasing by the square root of the time rate (rough possible calculation) means that time is passing quicker but the spacecraft is moving slower (not cool).

Kinetic energy is constant but velocity (using your local time) is not.

The time period for an interstellar journey already looks bad in linear time. If these speculative properties of Space-Time of interstellar space are real then the problems of interstellar travel are a lot worse.

Because of the shielding effects of the Sun’s mass we never experience these effects as we travel around the galaxy through various rates of time.

David Brin wrote a story called the “Crystal Spheres” where inhabited systems were protected by a bubble which could only be broken from the inside. The universe was protecting inhabited systems from invasion by more advanced forms.

If my crude analysis of Space-Time is correct then crossing interstellar space in a small spacecraft can take a lot longer than calculated using constant linear time. The difficulty factor for interstellar travel goes from difficult to nearly impossible.

If I give this physics an anthropomorphic interpretation it would also suggest that Warp Fields and FTL are also impossible. Any galactic civilization would be both patient and stable over giga years. Davis Brin’s “Library Institute, the repository of all knowledge” might exist in some form.

The Fermi Paradox seems to have a hidden term directly written into the physics of spacetime. We are in a cage but on the other hand nothing can easily get to us either.
Geez what a pessimist you are.

First of all, do not 1-dimensionalize your space. Einstein's space-time is in actuality 4-dimensional, not 1-dimensional. And it is in fact elastic, not rigidly adhering -- so rigidly -- to the 1-dimensional time parameter. It blows up like a 4-dimensional balloon for the traveler versus the observer's lesser elasticity to his balloon on Earth, whatever.

So ask yourself, how many observer balloons can fit inside the traveler's balloon, providing the traveler is under a constant of self-propulsion (in this scenario)? Where is the traveler 'positioned' inside his balloon? The faster he travels, relative to the immovable observers in this scenario, the larger his balloon, the more contracted will be the observers from more of their contracting positions in the universe he can fit inside his expanding balloon, not one of which could 'position' him, the traveler, inside his expanding balloon, his 4-dimensioned elasticity. In 'plane' language, he is on a different plane, a higher- or hyper-plane, of universe than they are. Dozens of him might be observable one to each observer (becoming temporarily 'entangled' with that observer, you might say) but he is in fact unobservable to them all. He is in fact in the unobservable open universe as long as he keeps a constant self-propulsion, a constant of acceleration in velocity, a constant of expanding his bubble universe (his vessel, his 0-point 'moment' universal clock, and himself included), and contracting within it those fixed observers' universes, including their identical 0-point 'moment' universal clocks. By 4-dimensionalizing the picture, and by a 4-dimensional elasticity rather than a 1-dimensional elasticity (inclusive of 1-dimension of space into 1-dimension of time), you change it vastly.
 
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