The state Qin conquered and unified all the warring states of China, and formed the first Chinese Empire in 221 BC befoe falling in about 207 BC. The Qin statea nd governmentwas totally destoryed, and various rebel groups ruled different parts of China.
One could claim that Han Dyanasty China from 202 BC to 220 AD was either a totally new empire, somewhat inspired by the Qin Dynasty, or else a sort of recreation of the Qin Empire by a rebel group.
Rebels revolted and China was divided into three major powers, each claiming to be the rightful governmentof all China, by the time the last Han dynasty emperor was deposed in 220. The rebel state of Wei eventually conquered the others, ending the Three kingdoms era and beginning the rule of the Jin Dynasty over China in 280.
The Chinese Empire during the Jin Dynasty can be considered either a totally new empire, somewhat inspired by the Qin and Han, or as else a sort of a recreation of the Qin and Han empires by a rebel group.
The Jin Dynasty ruled from 266 to 420, but only ruled a united China for a few decades after 280. The series of civil wars called The War of the Eight Princes
(or Eight Kings) from 291 to 306 AD broke the Jin State into several more or less independent states, especially since the conflicts encouraged the barbarian invasions callled The Uprising of the Five Barbarians from 304-316.
The Jin Dynsty government fled to south China, along with millions of Chinese refugees, and the period of unified China was followed by the Sixteen Kingdoms from 304-4439, and the Nothern and Southern Dynasties from 42-589. One stte did not conquer all of Chaina until 589.
And this type of events went on for century after century of Chinese history.
So some people can claim that the Chinese Communists seized power in a country which had existed continuously since 221 BC. And some people can claim that unified Chinese states only existed for about two thirds or three fouths o fhe period from 221 BC tot he present, and there was no Chinese state in the intervals between, but instead several warring states whose wars often resulted in millions of deaths. Thus those people can claim that the various unified Chinese states in history were each a seperate empire, republic, or people's republic with no connection to previous states.
So the Chinese communists could be considered to be successful rebels against successful rebels against successful rebels against succesfull rebels aginst...an so on back to successful rebels agains the Qin Dynasty. But some of the Chinese rulers that were overthrown, leading to periods of division in China, were foreign conquerors of all China, so foreign conquerors have to be inserted into a few places in the otherwis euninterrupted succession of successful rebels.
So it is a mattet of opinion, interpretation, and speculation whether the Chinese Empire fell and was totally dissolved and then after a time and many bloody wars recreated several times, or whether there were a number of totally different and totally new Chinese empires each of which rose and then fell completely and were never recreated.
The city stateof Rome expanded under the RomanREpublic to rule the lands around the Mediterranean Sea, and expanded to be evenlarger durng the Roman Empire. In 395 there was an admiinstative division between two Emperors, one with authority in the East, and one in the west, but it remained a single empire.
The western section fell apart rapidly in barbarian invasions and revolts, and the last western emperos were deposed and assinate din476 and 480. People in the west who were still loyal to the empire, or claimed to be, acknowledged the eastern emperor as their rightful overlord. In the 530s under Justinian the empire struck back, reconquering about half of the former territory of the western Roman Empire.
A terrible plague, more barbarian invasions, the terrible Roman-Persan War in 602-628, and the following Arab invasions halted that Roman reconquest. But someone could consider Justinian's reconquests a recreateion of half of the western section of the Roman Empire.
This was not the first time, nor the last, that the Roman empire fell apart at least partially and then was at least partially reconstructed.
There were many Roman civil wars from the late Republic and then in the Empire were rival claimants had control of diferent sections of the Empire starting with the Year of the Four Empeors in AD 69, and repeating at various times.
In the Crisis of the Third Century from 235 to 284, The population and economy of the Empire declined, Barbarians tribes invaded, there were Persian Wars, and the soliders in various regions kept revolting and nominating willing or unwilling generals as emperors.
Men classed as legitimate RomanEmpeors are usually those who ruled the entire Roman Empire, and/or were recognzied by the Roman Senate, and/or were accepted as collegues by other and more or less legitimate emperors.
There were 27 more or less legitimate Roman Emperors in the 49 years from 235 to 284 in the list in Wikipedia, may of them began as Romanurusprers agaisnt previus emperors.
If each emperor ruled alone the average reign before dying or being killed would have been about 1.074 years, but since their were many joint reigns the average survival time was a little better.
And if you think that was bad, there were 27 less successfull claimants, classified as Roman usurpers, in that period according to Wikipedia's list of Roman usurpers.
This omitts several doubtfull cases, and also the 5 emperors of the Gallic Empire and the 1 or 2 emperors of the Palmyrene Empire.
And a few of the many rebellious regions in this era lasted long enough to be considered to be sort of separate states and offshoots of the Roman Empire.
For example, the so called "Gallic Empire" lasted from 260 to 274, and included Gaul, Hisbania, and Roman Britain at its height. The Palmyrene empire lasted form 270 to 273.
So someone could claim that the Roman Empire dissolved and was later recreated. But that would be like saying that the USA dissoved in 1560 and was recreated in 1865. Most of the USA remained loyal to the Federal government under Lincoln, and fought a long war to reconquer the rebellios region. Similarly most of the Roman Empire remained under the control of the central government, and eventually Emperor Aurelian reconquered the Palmyrene and Gallic Empires.
Similalry the "Brittanic Empire" was founded in RomanBritain and northern Gaul in 286 and listed until 296 until being reconquered.
The Tetrarchy was the system instituted by Roman Emperor Diocletian in 293 to govern the ancient Roman Empire by dividing it between two senior emperors, the augusti, and their juniors and designated successors, the caesars. This marked the end of the Crisis of the Third Century.
Each of the four emperors in the Tetrarchy was assigned a region to defend against rebels and invaders. The two caesars were surbordinate to the two Augusti, and each e caesar was considered to be heir and succesor of his Augusutus.
Unfortunately, the Tetrarchy broke down as rival emperors battlde for power, until one, Constantine I, defeated his rivals and made himself solde emperor in 324. The imperial role was divided and reunited several moe times, until in 395 two emperors gained authority in the eastern and western sections of the Roman Empire.
The western section was soon taken over by barbarian groups, but the eastern section later struck back and reconquered much of the west.
The Roman Republic had an area of 1,950,000 square kilometers in 50 BC.
By 25 BC the Roman Empire ruled 2,750,000 square kilometers; in 117 it reached its brief peak of 5,000,000 square kilometers, and in 390 it ruled 4,400,000 square kilometers, still as much as 0.88 of its maximum size 273 years earlier.
By 518 the eastern section of the Roman Empire, the so called "Byzantine Empire", was down to 2,300,000 square kikometers, 0.46 of it's maximum size.
This rose to 3,600,000, 0.72 of its maximum size, by 565, but was down to 2,900,000, 0.58 of its maximum size, in 600.
By 668, the Roman Empire was down to 1,300,000 square kiometers, 0.26 of its maximum size, due to the Arab invasions.
By 775 the size was down to 800,000 squae kilometers, only 0.16 of its maximum size.
By 1025 the Roman Empire was back up to 1,675,000 square kilometers, 0.335 of its brief maximum size 908 years earier.
555,000 After the Battle of Manzikert in 1071 the empire rapidly shrank, and was down to square kilometers, 0.111 of its maximum size, in 1097.
This rose to 1,000,000 square kilometers, 0.2 of its maximum area, by 1143, and then fell to 610,000 square kilometers, 0.122 of its maximum area, by 1204.
In all that tiem where the empire lost and regained territory, nobody could claim that the empire had been dissolved and then recreated. The central government had always retained a lot of territory and had always managed to reconquere a lot of lands taken from it.
The Empie did dissolve in 1204 The westerners who captured the Capital, Constantniople, in 1204 established the so called "Latin Empire of Constantinople", a group of rebels established the co called Trapezuntine Empire, and more loyal Romans established the so called Despotate of Epirus with is short life "Empire of Thessalonika", and the so called "Empire of Nicae.
The Nicaen Empireeventually reconquered most of the Latin Empire and more or less recreated the previous "Byzantine" Empire. By 1282 it ruled 550,00 squae kilometers, about 0.90 of the size in 1204, though only 0.11 of the maximum size of the Roman Empire in 117.
The empire of Charlemagne is often considered to be a partial reconstruction of the dissolved former western Roman Empire. By 843 it became divided into several kingdoms whose kings gave little obedience to the emperor, and the last emperor was assassinated in 924.
In 962, Otto I the Great, mighty king of Germany and Italy, was crown emperor. Otto's realm later became known as the Holy Roman Empire, and lasted until 1806.
Sometimes the Holy Roman Empire is considered to be the continuation of Charlemagne's Carolingian Empire, and sometimes it is considered to be a totally new Empire. And a sort of midway positon could be to claim that the Carolingian Empire was dissolved and recreated several times before being dissolved in 924 and then being recrated in 962 as the Holy Roman Empire.
The ideology of the Holy Roman Empire was that the Emperors were the successors of the Carolingian Emperors. It was also claimed that when "Byzantine emperor Constantine VI was depsoed in7987, and his mother ruled the Roman Empire, the emperorship was vacent sinc eit was wrong for a woman to rulethe RomanEmire. Thus it was claimed that Charlemagne in 800 ws the rightful successor of Constantine VI in 797 and of all the "Byzantine" emperors back to Arcadius in 395, and of all the earlier Roman Emperors back to Augustus in 27 BC.
So the Holy Roman Empire never claimed that the RomanEmpire had been dissolved and reconstructed, but instead claimed that it had always existed in varius forms since 27 BC.
So in the case of Chine and Rome there is considerable uncertainty whether it is acurate to say that their empires dissolved and were recreated or existed continuously.