Leo, thank you for your write ups.
Here is the universal meaning of Gayatri mantra.

Gayatri Mantra: Om bhoor bhuvah swah tat savitur varenyam bhargo devasya dheemahi dhiyo yo nah prachodayat

Its essence:

Om – Brahma or Almighty God
bhur – Embodiment of vital spiritual energy (praña)
bhuvah – Destroyer of sufferings
svah – Embodiment of happiness
tat – That
savituh – Bright, Luminous like the Sun
vareñyam – Best, Most exalted
bhargo – Destroyer of sins
devasya – Divine
dhimahi – May imbibe
dhiyo – Intellect
yo – Who
nah – Our
prachodayat – May inspire
In short it is a prayer to the Almighty Supreme God, the Creator of entire cosmos, the essence of our life existence, who removes all our sins, pains and sufferings and grants happiness; beseeching His divine grace to inculcate within us His Divinity and Brilliance which may purify us and guide our wisdom on the righteous path. (Excerpts from the book in Hindi Yugshakti Gayatri Ka Abhinav Avataran by Gurudev, Pandit Shriram Sharma Acharya)

Gayatri Mantra in Religions
The Meaning of Gayatri Mantra Encompasses the Teachings of All Religions

1. Hindu: God is the eternal source of life-force; Supreme embodiment of unalloyed bliss and Almighty destroyer of all worries and vices. Meditate upon the preeminent radiance of His pious inspiring power that will enlighten our intellect and motivate it towards the righteous path of elevation. (Rigveda 3|62|10; Yajurveda 36| 3; Samveda 1462)

2. Jew: ‘O’ Jehova (God) Guide me on the path of religion (righteousness); Show me Thou way which is straight, noble and perfect. (Old Testament-Prayers 5|8)

3. Shinto: ‘O’ Lord! Our eyes might see indecent things and vices, but our hearts (inner minds) should be free from all evils and impurities. Our ears might hear what is immoral and profane, but our hearts should not perceive anything unholy or wrong. (Japanese Preaching)

4. Parsi: That Supreme Master (Ahurmazda – God) is the Supreme King because of His pure intelligence and truth. Executing altruist deeds in His name makes us beloved of God. (Avesta 27|13)

5. Dao (Taoism): Dao (the Supreme-Self: God) is beyond all perceptions and thoughts. Righteous conduct as per His disciplines is an ideal religion. (Dao Treatise)

6. Jainism: Revering salutations to all the Arhantas, the Siddhas, the Acharyas, and the Upadhyays (all of whom are enlightened masters). Revering salutations to all the saintly beings. (Invocation Prayer)

7. Buddhism: (For ultimate peace and joy) Surrender to buddha – the enlightened awareness; Surrender to dhamma – the inner righteousness; Surrender to Sangha – the collective consciousness. (Diksha Mantra | Trisharanam)

8. Confucius: Must I behave not what I like others behave not. (Notable Quotes)

9. Christianity: ‘O’ Father! Please do not put us under test; Save us from all sins and evils. All the infinite power, noble prosperity and greatness is eternally Thine. (New Testament ‘Matte’ 6|13)

10. Islam: ‘Ya Allah!’ We pray to you only and need Thou help alone. Show us the righteous path – the path of those who are blessed with Thou light and grace, and not the (wrong) path of those who are unholy and worthy of Thy punishment. (Quran Sura: Al-Phatiha)

11. Sikh: “Omkar” (God) is one. Thy name is the ultimate Truth. HE is the creator of Nature, HE is Almighty, absolutely bright and brave. HE could be known only by the blessings of a noble Guru (enlightened divine intellect). (Guru Granth Sahib – Japujee)

12. Bhahai: ‘O’ Lord! Refresh and gladden my spirit. Purify my heart. Illumine my powers. I lay all my affairs in thy hand. Thou art my Guide and my Refuge. I will no longer be sorrowful and grieved; I will be a happy and joyful being. ‘O’ God! I will not longer be full of anxiety, nor will I let trouble harass me. I will not dwell on the unpleasant things of life. ‘O’ God! Thou are more friend to me than I am to myself. I dedicate myself to thee O Lord. (Abdu’l-Baha in “The secret of divine civilization”)