Substantial archaeological evidence for Purāṇic events has not been found and will not be found because Purāṇic events don’t take place primarily on the Earth of our common experience — they take place primarily on the higher-dimensional Purāṇic realm of Bhū-maṇḍala, of which our Earth is only a four-dimensional, space-time projection. Since our Earth is only a projection of the full Purāṇic realm, ordinary human beings have no direct access to most of the events elaborately described in the Purāṇas. Pure devotees of Śrī Viṣṇu have full access to these events. This is explained in detail in Chapter 2 of my book Heretic Science. The objection that this is unfalsifiable is addressed in Section 2.8 of Heretic Science.
I will now show that the Purāṇic paradigm doesn’t make sense without higher-dimensional space. The Bhāgavata Purāṇa describes the activities that Śrī Kṛṣṇa performed in Vṛndāvana, Mathurā, Dvarakā and at the war of Kurukṣetra. These descriptions contain statements that are physically impossible without acknowledging that the Purāṇic paradigm involves higher-dimensional space. For example, according to the Bhāgavata Purāṇa (10.90.41-42), the city of Dvarakā contained 38.8 million tutors and 30 trillion servants. The surface area of the Earth (including all the oceans and continents) is 5 x 1014 square meters. If each of the servants lived in a house of 17 square meters, the aggregate of all the servants would require the entire surface of the Earth, including all the oceans and continents. According to the Bhāgavata Purāṇa (10.50.49), the city of Dvarakā only covers 1.9 million square meters. Thus, Dvarakā is 100 million times too small for all of the servants to fit in three spatial dimensions. Although the phrase “higher-dimensional space” is not explicitly used in the Purāṇas, it is clear from this example that the Purāṇic paradigm is implicitly higher dimensional. This indicates that the Dvarakā we experience on the Earth of our common experience is only a small portion of the full manifestation of Dvarakā, which is visible to Superhuman Beings who can access higher-dimensional space.
This concept is supported by many Purāṇic statements asserting that a visitor to a sacred place must be qualified in order to see the full manifestation of that sacred place. In this regard, the situation of Vṛndāvana is similar to that of Dvarakā. In other words, a visitor to Vṛndāvana today will experience the full manifestation of Vṛndāvana in proportion to his/her qualification. By “qualification” the Purāṇas mean having undergone a regimen of serious discipline resulting in expanded sensory capabilities that enables one to directly access higher-dimensional space. This qualification is obtained by practicing the Purāṇic process of self-realization described in Chapter 9 of my book.
I will now provide further evidence that Purāṇic events take place in higher-dimensional space and, therefore, are not visible to ordinary human beings. A prominent feature of Purāṇic cosmology is Bhū-maṇḍala. The Purāṇic Bhū-maṇḍala is an enormous disc of matter roughly six billion kilometers in diameter situated on the plane of the ecliptic, the plane in which the Earth orbits the Sun. In contrast, the Earth of our common sensory experience is a sphere roughly 12,000 kilometers in diameter. Moreover, according to the Purāṇas, the height of the Himalaya mountains is 120,000 kilometers. As everyone knows, the Himalaya mountains on the Earth of our common experience don’t exceed 10 kilometers in height. According to the Purāṇas, our sensory capabilities are limited in such a way that we perceive the Earth as a sphere roughly 12,000 kilometers in diameter and the Himalayas as less than 10 kilometers in height – we don’t perceive the Earth as it is described in the Purāṇas.
Faced with this description, there are two logical alternatives: (1) The Purāṇic description is mythological, or (2) The Purāṇas are describing that which is beyond our sense perception; in other words, the Purāṇic description is higher dimensional. The first alternative is no longer viable because, as shown in Chapters 4 — 8 of my book, the Purāṇas contain dates for major events in the history of the Earth, Solar System and Universe that are within 0.3% of the modern scientific dates for these events. Since Purāṇic dates are so stunningly close to modern scientific dates, and since Purāṇic dates are inextricably interwoven with Purāṇic descriptions, it is no longer justifiable to entirely relegate these descriptions to the realm of fantasy.
The above discussion shows why we shouldn’t expect to find substantial archaeological evidence for the Purāṇic description of the Kurukṣetra war, nor substantial evidence for the massive carnage in which Śrī Rāma, the son of Daśaratha, exterminated Ravana and his army of Raksasas.