Yes, the phrase "सिद्ध चाल्या" (Sidha Chalya) and the Sanskrit word "साधयामः" (Sādhyāmaḥ) are directly etymologically and semantically linked. Both trace back to the same root concept in Sanskrit.
Here is a breakdown of how they connect:
1. Etymological Connection (Origin)
Both terms originate from the Sanskrit verbal roots साध् (sādh) or सिध् (sidh), which fundamentally mean "to go straight," "to accomplish," "to succeed," or "to fulfill."
- साधयामः (Sādhyāmaḥ): This is the present tense, first-person plural form (we) of the root sādh. It translates to "we accomplish," "we achieve," or in older contexts, "we proceed/set out straight toward a goal."
- सिद्ध (Siddha / Sidha): This is the past participle derived from sidh/sādh, meaning "that which is accomplished, perfected, or straight." As language evolved through Prakrit and Apabhramsha into modern Indo-Aryan languages (like Marathi, Hindi, or Punjabi), "siddha" softened into "sidha" (सीधा/सिद्ध), taking on the primary physical meaning of "straight" or "direct."
2. Semantic Connection (Meaning)
The phrase "सिद्ध चाल्या" (or sidha chalna) translates idiomatically to "walking straight," "moving in a direct line," or metaphorically, "behaving honestly/righteously."
Word / Phrase
Root
Core Meaning
साधयामः
sādh
We accomplish / We move directly toward a goal.
sidh / sādh + walk
To walk straight / To follow the right path.
In short, because both expressions share a core concept of "straightness, progression, and moving directly toward a destination," they are deeply related.