When I think about time-travel in general I am not thinking about how CERN machinery works and what physical theory is on stake ...
I think about protocols like NTP ( for historical reasons I will mention RFC 958 )
The concept of time presumes a universal total order, yet for time to exist requires friction which implies the lack of a total order (and unbounded partial orderings) because not all
witnesses can observe all events in "exactly now" real-time.
A humorous
example about losing car keys points out that the only entity that knows the reality of "now" is the entity observing it.
Each of our realities can't be communicated precisely, only related. No other entity will ever be able to know all the thoughts that passed in your mind as they occurred.
Therefore triangulation of observations
doesn't exist and is always an approximation of reality and thus never 100% final.
Exactly how are you defining 'inertia' in terms of TaPoS combined with burning?
As stated there at the linked post.
The owners of the UTXO that is intertwined with the history by TaPoS don't want their UTXO to be reverted thus they will agree with the fork (the perspective of reality) which contains those TaPoS.
So the inertia is tying all the stake holders to the history.
Thus the nothing-at-stake is removed without consuming an external resource.
@anonymint
helped Dan Larimer invent TaPoS in 2013.
It is probably the one significant invention he created that might help us convert nothing-at-stake to something at stake.
The inertia is that they have something at stake.
These are decentralized checkpoints which are implicitly a consensus and don't rely on any central party to state what the consensus is.
Vitalik argued that TaPoS can be subverted by bribing old UTXO owners to sell their private keys, but this is not only unrealistic but the current UTXO owners will not agree.
The unrealism is because the old UTXO owners and the new ones have a significant overlap.
The stakeholders en masse don't want to destroy their own money.
And this line of thinking will lead you towards the consensus system @anonymint has devised.
But you have to be cautious of the fact the majority are apathetic and
can be divided-and-conquered by their own selfishness..
Yes I think the problem is more related to science in general, the quantaization problem,
"Quantization" is the process of constraining an input from a continuous or otherwise large set of values (such as the real numbers) to a discrete set (such as the integers).
Regards more specifically to our system and latency ( assuming the internet is a millisecond machine, that
speed of light in a optic cable[1] )
[1] The speed at which light propagates through transparent materials, such as glass or air, is less than c; similarly, the speed of electromagnetic waves in wire cables is slower than c. The ratio between c and the speed v at which light travels in a material is called the refractive index n of the material (n = c / v). For example, for visible light the refractive index of glass is typically around 1.5, meaning that light in glass travels at c / 1.5 ≈ 200,000 km/s (124,000 mi/s); the refractive index of air for visible light is about 1.0003, so the speed of light in air is about 299,700 km/s (186,220 mi/s), which is about 90 km/s (56 mi/s) slower than
c.
ps-> assuming we are not colour blind