You could cast cloudkill just outside forcecage, then let gravity or wind move it into the cage when time resumes. Although I suppose that depends on whether you count the cloud itself as a spell, or the effect of a spell.
You can't even use it to buff yourself effectively because of concentration rules. I rule that any damaging spells my players cast do not take effect until time stop ends, and allow them to concentrate on any spells they cast while under the effect simultaneously. But RAW it's a pretty underwhelming 9th level spell, especially compared to its power and utility in previous editions.
A fun way to use Timestop would be casting Greater Invisibility during it, and casting Fireball. They would have no way of knowing where the fireball came from, and it would just be hilarious watching them try to find out
A time stop is distinguished by an azure field placed over an area, the barrier preventing anything from leaving the area. Within a time stop, the outside world appears to progress slowly. The time stop spell has an additional mechanism that forces an organism to maintain their state of consciousness in order to keep them stable within the time stop. Should an organism change consciousness anyway, the mechanism would force them out of the time stop. When a time stop is about to resolve, lights (may) poke through the diminishing azure field.
The time stop was famously used by San D'Klass who created the Santa Claus or Father Christmas myth. He used the time stop power to enter human dwellings while the humans were asleep so that he could give them presents. The intention was to lessen human greed.
The time stop is traditionally maintained by at least five Warlocks, providing an average duration of 1 hour 30 minutes. Foaly mechanized the process by inventing emitters that would manage the upkeep instead, Warlocks would then need to channel their magic into the batteries of an emitter. The technology had vastly increased the efficiency of the time stop, allowing for up to 8 hours duration.
In Artemis Fowl, Fowl Manor had been trapped within a time stop by the LEP. Artemis had studied about San D'Klass within the Book, and theorized that a change in consciousness could create an exit from the time stop. He experimented this with his mother, giving her narcotics to induce sleep, and observing that she had disappeared. He later secretly administered the same drugs into glasses of champagne that he drank along with Butler and Juliet.
In The Last Guardian, Foaly places goblins attacking his house in a time stop, making them feel 5 years in the space of 5 seconds. This implies that time stop tech has advanced considerably since the first book.
In the Artemis Fowl film, the Time-Stop is known as a "time freeze." Any use of a time freeze requires the authorization of the executors. A time freeze was first put in place when a troll escaped to the surface and crashed a wedding party. The time freeze allowed the forces of LEPRecon to go in and neutralize the troll, then reset everything and mind wipe the humans there so that they would not be aware that anything odd had happened.
Later, when Artemis Fowl Jr. captured Holly Shot and tried to ransom her for the Aculos, Commander Root ordered a time freeze over Fowl Manor. She described it as being "exterior only," that she needed the young Artemis alive so that she could talk to him. She then sent in her forces, however, Artemis Jr. and his bodyguard Domovoi Butler held their own against them, then Domovoi shot the capsule which was being used to create the time freeze. With this, the time freeze became unstable. Foaly, the centaur genius in charge of tech, manged to hold it for a time, but it eventually it collapsed and the LEPRecon forces had to withdraw, lest they got sucked into a time bend.
Intuitively, this condition means that the "decision" of whether to stop at time n \displaystyle n must be based only on the information present at time n \displaystyle n , not on any future information.
To illustrate some examples of random times that are stopping rules and some that are not, consider a gambler playing roulette with a typical house edge, starting with $100 and betting $1 on red in each game:
Hitting times like the second example above can be important examples of stopping times. While it is relatively straightforward to show that essentially all stopping times are hitting times, it can be much more difficult to show that a certain hitting time is a stopping time. The latter types of results are known as the Début theorem.
Stopping times are frequently used to generalize certain properties of stochastic processes to situations in which the required property is satisfied in only a local sense. First, if X is a process and τ is a stopping time, then Xτ is used to denote the process X stopped at time τ.
Locally integrable process. A non-negative and increasing process X is locally integrable if there exists a sequence of stopping times τn increasing to infinity, such that
A stopping time τ is predictable if it is equal to the limit of an increasing sequence of stopping times τn satisfying τn τ whenever τ > 0. The sequence τn is said to announce τ, and predictable stopping times are sometimes known as announceable.Examples of predictable stopping times are hitting times of continuous and adapted processes. If τ is the first time at which a continuous and real valued process X is equal to some value a, then it is announced by the sequence τn, where τn is the first time at which X is within a distance of 1/n of a.
Accessible stopping times are those that can be covered by a sequence of predictable times. That is, stopping time τ is accessible if, P(τ = τn for some n) = 1, where τn are predictable times.
Clinical trials in medicine often perform interim analysis, in order to determine whether the trial has already met its endpoints.However, interim analysis create the risk of false-positive results, and therefore stopping boundaries are used to determine the number and timing of interim analysis (also known as alpha-spending, to denote the rate of false positives).At each of R interim tests, the trial is stopped if the likelihood is below a threshold p, which depends on the method used. See Sequential analysis.
First, we have to define time. "To a physicist, it's not that mysterious," Sean Carroll, a theoretical physicist at the California Institute of Technology, told Live Science. "Time is just a label on different parts of the universe. It tells us when something is happening."
Many physics equations make little distinction among the past, present and future, Carroll added. One place time appears is in Albert Einstein's theory of relativity. According to Einstein's theory, time is measured by clocks. Because the parts of a clock must move through space, time gets tangled up with space into a larger concept known as space-time that underpins the universe.
Relativity famously showed that time can become pretty wonky depending on how fast an observer is moving relative to another observer. If you send a person with a clock on a spaceship at near light speed, time will seem to pass more slowly for them than it would for a stationary friend left on Earth. And an astronaut falling into a black hole, whose immense gravity can warp time, might also appear to slow down relative to a distant observer.
For him, it makes little sense to talk about stopping time. We know that a car is moving because, at different moments of time, it's at a different location in space, he said. "Motion is change with respect to time, so time itself can't move." In other words, if time stopped, all motion would stop too.
While sci-fi has sometimes given us protagonists who can pause time for everyone else, such situations raise a great deal of questions. "Are you stopping the air from moving?" Carroll asked. "Because if so, then you're imprisoned by the air."
A time-stopping character would also likely be unable to see anything, he added, because light rays would no longer reach their eyeballs. "There's not really any consistent scenario in which time stops."
So much for physics. But time is more than just something read on a clock. It's also a feeling that we have in our heads and bodies, as well as the natural rhythms of the world. Yet in those cases, time can become something subject to personal whims.
He described a well-known psychological illusion known as "chronostasis," in which a person places a clock at the edge of their vision and then stares at something else for a moment. Glancing back at the timepiece and focusing on the second hand will make it pause. (It can be a quirky way to stay entertained during fifth period math class in high school.)
The illusion has to do with tiny eye movements called saccades, in which your eyeballs rapidly flick back and forth to constantly take in their surroundings. To prevent you from seeing a chaotic blur, your brain actually edits what it sees in real time and creates the impression of a continuous field of view, Callender said.
The question then becomes, what is the relationship between our perceptions of time and the time physicists are talking about? Callender has written a number of books that attempt to explore the connection between the two, and as yet, there isn't much consensus on a final answer.
And what does he believe regarding the possibility of stopping time? "If we think of our subjective sense of time, then we can stop portions of it with chronostasis," Callender said. "But that's probably the closest we can do."
I have no idea what equation is used to calculate dime dilatation, but it will use gamma and therefore division. And the only time division of non-zero constant yields zero is when you divide by infinity. 041b061a72