This is a very good and difficult question. Here are my comments : Life is a state that distinguishes organisms from non-living objects, such as non-life, and dead organisms, being manifested by growth through metabolism and reproduction. A physical characteristic of life is that it feeds on negative entropy. In more detail, according to physicists such as John Bernal, Erwin Schrödinger, Eugene Wigner, and John Avery, life is a member of the class of phenomena which are open or continuous systems able to decrease their internal entropy at the expense of substances or free energy taken in from the environment and subsequently rejected in a degraded form. There is no universal definition of life; there are a variety of definitions proposed by different scientists. To define life in unequivocal terms is still a challenge for scientists Existence is the world of which we are aware through our senses, but in philosophy the word has a more specialized meaning, and is often contrasted with essence. Philosophers investigate questions such as "What exists?" "How do we know?" "To what extent are the senses a reliable guide to existence?" "What is the meaning, if any, of assertions of the existence of categories, ideas, and abstractions." The word "existence" comes from the Latin word 'existere', meaning to appear or emerge or stand out. The word 'exist' is certainly a grammatical predicate, but philosophers have long disputed whether it is also a logical predicate. Some philosophers claim that it predicates something, and has the same meaning as 'is real', 'has being', 'is found in reality', 'is in the real world' and so on. Other philosophers deny that existence is logically a predicate, and claim that it is merely what is asserted by the etymologically distinct verb 'is', and that all statements containing the predicate 'exists' can be reduced to statements that do not use this predicate. For example, 'A Four-leaved clover exists.' can be rephrased as 'There is a clover with four leaves.' This philosophical question is an old one, and has been discussed and argued over by philosophers from Aristotle, through Avicenna, Aquinas, Scotus, Hume, Kant, Kierkegaard and many others. In mathematical logic existence is a quantifier, the "existential quantifier", symbolized by ∃, a backwards capital E. To symbolize "Four leaf clovers exist," mathematicians would first define predicates, P(x) = "x is a clover" and Q(x) = "x has four leaves", and then form the well-formed formula (∃x)(P(x) and Q(x)).

Life is a biological concept. Only things that have certain qualities are "living". Existence applies to everything. Now, the question is, what is existence? Why is there existence rather than non-existence?

Existence is immeasurable, infinite. Life is although organic, also infinite. If your definition of life is the end of that specific combination of elements, then life can be seen as finite.

you are alive... you have a life force within you an awareness within that life force. and you Exist. A chair exists but has no life force and has no awareness within that no life force. it has life because it exist, but it is inanimate. there is no awareness, no life force.