Hello, yes your are correct.´Heaven´and ´Hell´ are inside us all. I've also been practicing Kundalini Yoga, the translation that I'm aware is ´Thuth is my name´, this translation comes from Maya Fiennes btw (highly recomended)

The Kundalini energie amplifies
everything in you so if you are acid and if there´s a lot of toxicins that will be amplified, so living hell, just see those people that post all those videos on youtube having bad Kundalini experiences..

In my point of view these toxins and lack of balance in lower regions of the body is Satan (Baal - Bowel sounds the same)

Other matras

HARI NAM, SAT NAM

The name of God is the True Name

SAT NARAYAN

True Sustainer

SAT GURAY NAMEH

I bow to True Wisdom

http://www.kundaliniyoga.org/mantra.html

much like English, Sanskrit has many different interpretations of the same word depending on the context. Then you are going down a slippery slope but something that is still valid to investigate in comparing different languages. Satan is a Hebrew word. From the wiki: 

The original Hebrew term, satan, is a noun from a verb meaning primarily to, “obstruct, oppose,” as it is found in Numbers 22:22, 1 Samuel 29:4, Psalms 109:6.^[6] Ha-Satan is traditionally translated as “the accuser,” or “the adversary.” The definite article “ha-,” English “the," is used to show that this is a title bestowed on a being, versus the name of a being. Thus this being would be referred to as “the satan"

So, it seems it was used as an entity who judges what is good and bad and usually with emphasis on the bad. 

Then if we want to look further down the rabbit hole you may also see a connection with Saturn (youtube since his website was taken down).

The Romans identified Saturn with the Greek Cronus, whose myths were adapted for Latin literature and Roman art. In particular, Cronus's role in the genealogy of the Greek gods was transferred to Saturn. 

Now Cronus is associated with time and judgement but i'll leave it at that because i think half the fun is finding stuff out on your own.

Seasons' Greetings

Really good question Emily thanks for asking it, I don't know all of the answer myself.

My rule of thumb: Chant nothing you don't know the meaning of! :)

My guess is it relates to Saturn/ Satan as well, The "Truth" would then be that which can be made the absolute lowest common denominator, because clearly, saturn is not the only planet alive, thus, for it to be true that "Saturn/ truth is my name" it would have to be a more expansive definition, what i mean by this is, Earth Nam, Mars Nam, Sol Nam, Mercury Nam, Pluto Nam... E.t.c. 

Bit of a difficult issue eh? Old Satan/ Saturn... The enemy of man kind; Father Time! Who finds the truth out about everyone, by the test of... TIME! :)