What about the dynasties that existed before the Greek historians?
There are many more evidences, you can look it up at Google.
RAMAYAN :
Before we begin, I want you to know the term Ramayan Paramapara, all the works of literature, Ram-leela acts, Ramayan related rituals, Ram-mandirs...etc come under Ramayan Parampara.
Now most of the facts mentioned above in Mahabharat section applies here also, like excavations, detailed royal lineages, being Itihas etc.
1) Ram-setu : The image released by NASA confirmed the presence of the bridge between the two countries and added to it, the bridge’s angled curvature and composition that has stood against the test of nature proves that it is indeed man-made.
2) Archaeological studies reveal that the first human inhabitation happened in Sri Lanka around 1,750,000 years ago and it’s been proved that the bridge’s age dates back to the same equivalent. To top it, the dates mentioned in the text of Valmiki matches with that of primitive age as well.
3) Lord Hanuman set fire to Ravan’s expanse of a kingdom and the soil there is seen to be soot-black even now. The soil there is unusually black in contrast to that of the neighboring states.
4) Now tell me what is the most accurate parameter to tell the time. Some might say that it is the rising and setting of sun, but we know in the entire earth sun rises somewhere while sets somewhere.
The most accurate parameter to tell time, which can be applicable to the entire solar system is the position planets, stars and moons. And we know that in our ancient texts uses astronomy to tell time.
NASA and many other agencies put the astronomical dates in their computer and finds that Shri Ram was born January 10 at 12:05 hours, 5114 BC, Hanuman met Mata Sita at Ashok Vatika in Lanka on September 12, 5076 BC.
They knew that Krishna was born at midnight where Ashtami Tithi and Rohini Nakshatra were prevailing so they put it on their computer and found out that Krishna was born on 18th July 3228 BCE, the Mahabharat war started on 13 October, 3139 BC.
5) In Valmiki Ramayan, the places to which Shri Ram traveled is very clearly mentioned in a very descriptive way.
Two botanists, M. Amrithalingam and P. Sudhakar, in three years traveled down those routes and found out all 182 plant species mentioned in Valmiki Ramayan still exists, not only plants but animals, traditions, tribes etc still exist.
See what Nanditha Krishna, the director of their organization had to say.
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They have published a book about it called : Plant and Animal Diversity in Valmiki's Ramayan.
6) Ramayan-parampara as mentioned above is seen in many countries.
