So basically "god did it" then right?
If you want to understand Infinite Lord - the cause of all causes through science, which is still evolving, that is your wish.
If you trust your finite intelligence to understand the Infinite - that too is your wish.
If you think that through these senses - eyes which can see only in the presence of light, and that too a particular band-width; ears - which can hear only a particular frequency band, nose - which can smell only limited odors or, through the intelligence which in twilight tells you a snake on the road is a rope or refraction on desert is an oasis; and through the scientific instruments which are made up of inferior energy to support the senses; you can understand the infinite Supreme Lord - that too, my friend, is your wish. I am not so foolish to make such vain attempts.
I can immediately see the problem in the philosophy you just told me. It involves a leap of faith endowing Brahman with a personality and motive. None of this can be supported by any evidence. It is what in the principle of parsimony or occams razor we call an unnecessary multiplication of quantities.
The only way to understand the Infinite Lord is to follow the process shown by Him. The process is to surrender.
Even for understanding the impersonal feature of Lord, it is said:
tathāpi bhūman mahimāguṇasya te
viboddhum arhaty amalāntar-ātmabhiḥ
avikriyāt svānubhavād arūpato
hy ananya-bodhyātmatayā na cānyathā
Nondevotees, however, cannot realize You in Your full personal feature. Nevertheless, it may be possible for them to realize Your expansion as the impersonal Supreme by cultivating direct perception of the Self within the heart. But they can do this only by purifying their mind and senses of all conceptions of material distinctions and all attachment to material sense objects. Only in this way will Your impersonal feature manifest itself to them. [S.B. 10.14.6]
...so, what to speak of knowing the Personal feature, without surrendering to Him.
As for evidence, it depends on what you accept as an evidence. I accept the scriptures as evidence and the scriptures are full of confirmations of the same. Below are a few:
Lord Kṛṣṇa in Bhagavad Gītā says:
brahmaṇo hi pratiṣṭhāham
amṛtasyāvyayasya ca
śāśvatasya ca dharmasya
sukhasyaikāntikasya ca
And I am the basis of the impersonal Brahman, which is immortal, imperishable and eternal and is the constitutional position of ultimate happiness. [B.G. 14.27]
vadanti tat tattva-vidas
tattvaḿ yaj jñānam advayam
brahmeti paramātmeti
bhagavān iti śabdyate
"The Absolute Truth is realized in three phases of understanding by the knower of the Absolute Truth, and all of them are identical. Such phases of the Absolute Truth are expressed as Brahman, Paramātmā, and Bhagavān." [S.B. 1.2.11]
Moreover, even by adding this baseless assumption you have another question left unanswered: Why would an infinite, supreme and absolute being want to create anything using his energy of maya? Let me guess? Lila? Sport/play or to produce a playground for his children, the jeeva to suffer, err I mean play in? Even more multiplication of quantities.
The Infinite Lord created this Universe because we wanted to enjoy independent of Him - to become enjoyers and lord over the material nature. So, He gave us the facilities by creating this material universe. Along with it, He made some rules as to how we should live here happily and can finally achieve Him. So, yes, all is His Lila/sport/play.
A personal creator is an absurd idea, for it means that the creator god is within time and space, for the creator god has to begin creation at some point in time. This makes a creator god subordinate to time, space and causality. Like all things in time, space and causality even a creator god is rendered perishable.
In a layman language, science is 'discovering' laws like action-reaction, inertia, entropy etc. and not 'making' these laws. Any sane person will understand if the laws are there, governing our universe & existence, the law-maker also has to be there - Supreme Lord.
Advaita does not entertain such nonsense. Brahman is by definition infinite, eternal and uncaused. The finite mind's projection of its fantasies on Brahman cannot be logically justified, because Brahman cannot be bound by any finite ideas the mind can abstract. As soon as we say Brahman has a personality we are binding Brahman in finite human ideas. Such Brahman is called Saguna Brahman - the Brahman imagined with attributes. What you just told is a completely imagined Brahman. It will not pass.
The whole cosmic creation, with all it's heavenly bodies floating in empty nothingness, laws, various species of life, ecosystems etc is like a beautiful machinery, working perfectly. Only a fool will see an automobile standing on the road and will deny the engineer behind it - a person.