The word 'Buddha' means 'Enlightened'. It is the Buddha that is the light of the world. Buddhism states there can be only one Original Buddha in a world-system (MN 115). Jesus was a new light for Judah but not for the world. Jesus brought light to the violent tribal hypocritical religion of Judaism but Buddha (obviously; probably) brought light to Jesus.
When Jesus came to Judah and taught new teachings, which were different to Judaism, such as: (i) forgiveness, (ii) non-violence, (iii) showing the other cheek, (iv) non-hatred, (v) universal love & mercy, (vi) deeds before faith; (vii) God is love, (viii) celibacy, (ix) wandering like a monk, (x) not thirsting again (xi) liberation from the world, (xii) a kingdom not of this world, (xiii) eternal life (not experiencing death), etc, these new teachings obviously came from Buddhism because they have no source in the pre-Babylonian-exile Old Testament. All of these teachings have direct parallels in Buddhism, including the idea that 'God (Brahma) is love', which the Buddha taught to Brahmans in the Tevijja Sutta.
The Buddha revolutionized the ancient spiritual world, such as the famous Hindu book called the Bhagavad Gita (300BC), which is about Krishna, who is very similar to Jesus, being a human incarnation of god. Although the Bhagavad Gita refers to god & its theistic, its more profound principles are very similar to Buddhism (such as giving up craving & attachment).
The Buddha did not 'give up his life' for 'sheep' because the Buddha taught: (i) to not sacrifice one's life for another (Dhp 166); and (ii) he was the teacher of gods & humans (rather than animals or 'sheep'). Unlike Jesus, the Buddha forbade the practise of miracles for the religious conversion of others (DN 11). Unlike Jesus, a Buddha must live the whole term of his natural life as a demonstration of his virtue, i.e., his social harmony.
Unlike Jesus, the Buddha did not wander around picking fights with the religious establishment. The fact that Jesus (supposedly) violently died on the cross & was (supposedly) killed by Jews resulted in a religion that perpetuated violence and engaged in revenge killing against Jews for 2,000 years, which ultimately influenced the 'Holocaust'. This cycle of revenge was not one-sided, with (wealthy) Jews also plotting for hundreds of years to destroy Christianity. In short, the (supposed) sacrifice of Jesus has not really brought peace to the world but the opposite. Where as practitioners of the Buddha's noble path are peaceful & don't engage in conflict with other religions.
The Buddha called himself the 'Spiritual Friend' or 'Noble Friend' because he showed people a path for individual freedom that was self-reliant. The Buddha said:
Admirable friendship, admirable companionship, admirable camaraderie is actually the whole of the holy life. When a monk has admirable
people as friends, companions, & comrades, he can be expected to
develop & pursue the noble eightfold path. It is in dependence on me
as an admirable friend that beings subject to birth have gained
release from birth, that beings subject to aging have gained release
from aging, that beings subject to death have gained release from
death, that beings subject to sorrow, lamentation, pain, distress &
despair have gained release from sorrow, lamentation, pain, distress,
In his first sermon & many other places, the Buddha described his teachings as 'light':
'This is the Noble Truth of the Cessation of Suffering': such was the vision, the knowledge, the wisdom, the science, the light that arose
in me concerning things not heard before.
The following phrase is found many times in the Buddhist scriptures about the 'lamp' of the Buddha:
It is, good Gotama, as if someone were to set up something that had been knocked down, or to reveal what had been hidden, or to point out
the right path to a man who had got lost, or to bring an oil lamp into
a dark place so that those with eyes could see what was there — just
so has the good Gotama shown me the truth in various ways!
And this, as Jesus taught (from Buddha):
Open are the doors to the Deathless to those with ears.
As for the term 'emptiness', it means 'empty of self', such as found in the term 'kenosis' in Philippians 2:7:
Who, existing in the form of God, did not consider equality with God something to cling to, but emptied Himself, taking the form of a
servant, being made in human likeness. And being found in appearance
as a man, He humbled Himself and became obedient to death—even death
on a cross.…
Also Luke 17:33:
If you cling to your life, you will lose it, and if you let your life go, you will save it.
To conclude, the Buddha is the true light of the world. The Buddha shows the path of the best wisdom & the best human ethics. Many, such as Jesus, obviously adapted the Buddha's teachings to try to make people free. However, the Buddha is the original & the best, as the Buddha said:
Of all the paths the Eightfold Path is the best; of all the truths the Four Noble Truths are the best; of all things passionlessness is
the best: of men the Seeing One (the Buddha) is the best.