To make this condition mathematically clearer, it is convenient to assert it in the form that the space-time can be continued smoothly, as a conformal manifold, a little way prior to the hypersurface . To before the Big Bang? Surely not: the Big Bang is supposed to represent the beginning of all things, so there can be no 'before'. Never fear-this is just a mathematical trick. The extension is not supposed to have any physical meaning! Or might it …?
In "Cycles of Time," Roger Penrose discusses a mathematical approach to understanding the concept of space-time, particularly in relation to the Big Bang. He suggests that it may be possible to think of space-time as having a conformal structure that can be extended slightly before the Big Bang hypersurface. This idea is intriguing, as it challenges the conventional notion that the Big Bang represents the absolute beginning of everything.
Penrose emphasizes that this extension is primarily a mathematical construct, lacking direct physical significance. However, it raises thought-provoking questions about the nature of time and existence itself. The proposition invites contemplation on whether there is any meaningful interpretation of what might precede the Big Bang, even if it is merely a theoretical exercise.
