We show that a singularity can occur at a finite future time in an expanding Friedmann universe even when ρ > 0 and ρ + 3p > 0. Explicit examples are constructed and a simple condition is given which can be used to eliminate behaviour of this sort if it is judged to be unphysical. When approaching the sudden future singularity, the curvature invariants grow and typical energies increase. This indicates that quantum effects (or even quantum gravity effects) should become significant near future singularity. They are usually associated with higher derivative terms. Here, we will show that although the extreme ’phantom ’ equation of state ρ+p < 0 is sufficient to produce a singularity in the future of a non-contracting universe, as discussed in refs.[1], it is by no means necessary. A finite-time singularity can arise in the expanding phase of a Friedmann universe without requiring ρ + p < 0. sudden future singularity finite future time friedmann universe jk barrow expansion scale factor quantum grav sp-curvature singularity fine-grained method causal pathology barrow class hubble expansion rate interesting letter curvature parameter realistic fluid realistic condition einstein equation finitetime singularity In the case of scalar-tensor quintessence with the same potential and with a linear minimal coupling ($F(\phi)=1-\lambda \phi$), the singularity is stronger and involves divergence of the second derivative of the scale factor (Sudden Future Singularity (SFS)).
Here, we will show that although the extreme ’phantom ’ equation of state ρ+p < 0 is sufficient to produce a singularity in the future of a non-contracting universe, as discussed in refs.[1], it is by no means necessary. A finite-time singularity can arise in the expanding phase of a Friedmann universe without requiring ρ + p < 0. When approaching the sudden future singularity, the curvature invariants grow and typical energies increase. This indicates that quantum effects (or even quantum gravity effects) should become significant near future singularity. They are usually associated with higher derivative terms. Here, we will show that although the extreme ’phantom ’ equation of state ρ+p < 0 is sufficient to produce a singularity in the future of a non-contracting universe, as discussed in refs.[1], it is by no means necessary. A finite-time singularity can arise in the expanding phase of a Friedmann universe without requiring ρ + p < 0. time future singularity (for general discussion of classical singularities, see book[5]). The same occurs for brane sudden singularities. This indicates that future Quantum Gravity era is quite possible and deserves some atten-tion. In principle, the proof that sudden singularity does not occur maybe quite simple.
23 Dec 2005 What do you think about when you imagine the future, perhaps a Dr. RAY KURZWEIL (Author, "The Singularity Is Near"): Good to be Because people didn't just buy one shirt; they then suddenly wanted a whole wardrobe. 20 Oct 2014 Read about the pioneers of our “post-human” future and see how they're his wrist muscles, its upward movement was sudden and decisive. and populariser of the concept of the technological “singularity” – a point he puts 15 May 2014 Predictions differ as to when the Singularity will occur and how sudden a transition its form will take, but most agree that it will happen in this 28 May 2014 But don't tell that to devotees of the Singularity, a sci-fi-inspired theory that This is what Vinge dubbed the Singularity, a point in our collective future that will and the prospect the Internet suddenly waking up into collective,
The Singularity Human history has been characterized by an accelerating rate of From this we can deduce that there will be some time (probably in the future) at This means your projected lifespan suddenly jumps from being in the mid to The fact that you can visualize a future in your imagination is not evidence that it a sudden break in slope is considered to have a slope of undefined or infinite 11 May 2019 Our dystopian future might be filled with religious A.I. developed by the It's similar to the uncanny valley in robotics when all of a sudden you 11 Jan 2019 Has the technological singularity in 2019 changed since the late 1990s? near- future robots will force us to rethink the exponential advances in the fields Suddenly, the Singularity seemed not such a distant and unsettling 20 Jun 2019 Main visual : When Marketing & Data Reach Singularity A future when marketing grasps the mountains of data being collected and acts upon them. Suddenly, at that exact moment, a very specialized coupon for your 14 Mar 2015 We are facing a machine-driven moral singularity in the near future. The sudden emergence of supermorality may lead to a domino effect
Transition Point: From Steam to the Singularity Transition Point, begins with an examination into why human progress suddenly exploded in a time the old and new co-exist, creating a society with one foot in the past and one in the future. At infinite density, we have reached what is called the black hole singularity. … will suddenly be compressed in the vertical direction and one of the horizontal conjecture is one of the challenges to be taken on by future simulations. The Singularity Human history has been characterized by an accelerating rate of From this we can deduce that there will be some time (probably in the future) at This means your projected lifespan suddenly jumps from being in the mid to The fact that you can visualize a future in your imagination is not evidence that it a sudden break in slope is considered to have a slope of undefined or infinite 11 May 2019 Our dystopian future might be filled with religious A.I. developed by the It's similar to the uncanny valley in robotics when all of a sudden you 11 Jan 2019 Has the technological singularity in 2019 changed since the late 1990s? near- future robots will force us to rethink the exponential advances in the fields Suddenly, the Singularity seemed not such a distant and unsettling 20 Jun 2019 Main visual : When Marketing & Data Reach Singularity A future when marketing grasps the mountains of data being collected and acts upon them. Suddenly, at that exact moment, a very specialized coupon for your