Is Time Infinite?

Paul J. Steinhardt of Joseph Henry Laboratories, Princeton University, Princeton, NJ and
Neil Turok from the Department of Applied Mathematics and Theoretical Physics of Cambridge University in England have published a couple of papers that propose a different cosmological model. In their first paper (Sienhardt and Turok, 2002) they said: “the universe undergoes an endless sequence of cosmic epochs that begin with a "bang" and end in a "crunch." Their most recent paper (Sienhardt and Turok, 2006) gave an explanation of the reason the Cosmological constant is so small and positive and is based on their preliminary idea of endless continuous cycles of Big Bangs; under these conditions space and time could continue forever. This theory is not widely accepted yet.

Steinhardt, Paul J.; Turok, Neil (2006).
Why the Cosmological Constant Is Small and Positive. Science Express, published online May 4, 2006. Science DOI: 10.1126/science.1126231.

Steinhardt, Paul J.; Turok, Neil (2002).
A Cyclic Model of the Universe, Science 24 May 2002: Vol. 296. no. 5572, pp. 1436 – 1439. Originally published in Science Express on 25 April 2002.