Hi Apeiron! Your mascot Anaximander might well be proud of us I think.
I mean proud of this generation of physicists (not necessarily us right here at PF although we do our bit too.)
Many current models of how expansion started are handled in chapters by the various experts in the collection Vaas edited. Maybe "madness" and mathman would be interested too. The table of contents has been changed:
http://www.springer.com/astronomy/general+relativity/book/978-3-540-71422-4?detailsPage=toc
We are not talking about anything so grand as "The start of the universe"

We are only talking about modern ideas about conditions before the start of expansion (popularly called 'big bang') and what may have led up to it. I will copy out the new TOC and highlight some phrases.
==quote==
- Introduction: Beyond the Big Bang.
- Cosmic Inflation: How the Universe Became Large and Plentiful.
- Eternal Inflation: Past and Future.
- The Big Bang Singularity: Conditions and Avoidance.
- Big Bounce: Beyond the Threshold of Classical Cosmology.
- The Emergent Universe: Arising from a Static State Without a Singularity.
- Quantum Cosmology: Whence and Whither.
- Quantum Origins: Gravitational Instability of the Vacuum and the Cosmological Problem.
- Island Cosmology: The Universe from a Quantum Fluctuation.
- Cosmology from the Top Down: Anthropic Reasoning and Prediction in a Quantum Universe.
- Loop Quantum Gravity and Cosmology: Avoiding the Big Bang Singularity from First Principles.
- Loop Quantum Cosmology: Effective Theories and Oscillating Universes.
- The Holographic Universe: Space and Time in String Theory.
- The Pre-Big Bang Scenario: String Theory and a Longer History of Time.
- String Gas and String Inflation: Cosmology with Extra Dimensions.
- The String Landscape: Exploring the Multiverse.- Selection of Initial Conditions: The Origin of Our Universe from the Multiverse.
- Cosmic Natural Selection: Status and Implications.
- The Cyclic Universe: Ekpyrosis, Dark Energy and Large-Scale Structure.
- The Arrow of Time: The problem of Cosmic Initial Conditions.
- Self-Creating Universe: A Time Loop at the Beginning.
- (Quasi)-Steady-State Scenarios: An Alternative to Big Bang Cosmology?.
- The Mathematical Universe: Eternal Laws and the Illusion of Time.
- Eternal Existence: The Furthest Future.
- Index.
==endquote==