I The Big Bang and the original size of Universe

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The Big Bang is not accurately described as an explosion but rather as the universe expanding from a hot, dense state. The concept of the universe originating from a singular point is misleading, as current models suggest that singularities indicate the limits of our understanding and the need for new theories. The mass of the universe as we know it was likely concentrated in a dense state before expansion. For those studying physics, focusing on course materials is recommended, while supplementary texts can enhance understanding. The discussion emphasizes the complexity of cosmological models and the evolving nature of our understanding of the universe's origins.
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If the Universe occurred and expanded (plum pudding model say) how much 'space' did it occupy at the outset?
I am trying to understand / visualise, recognising that the Big Bang is not thought of as an explosion, how the Universe could have come into existence as a 'point' but came into existence 'everywhere'?
Is it a concept that such a point was then everywhere, and that the mass of the Universe, as is now, was coalesced into that point?
I am just in my first year of the physics degree and my maths does not extend to any great degree, but is it the case that the maths quantifies an opening situation?
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