Śrīmad-Bhāgavatam 10.45.8
Blended reading (Sanskrit + English inline)
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akalpayoḥ
—
who were unable
Echo of kalpaḥ in verse 6 — the same root, now negated. Verse 6 condemned the capable who do not act; here Kṛṣṇa places Himself among the incapable, because Kaṁsa's terror removed the conditions for filial service.
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udvigna - cetasoḥ
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whose minds were disturbed
Udvigna — agitated, anxious. The same word Arjuna uses for his battlefield distress. Kṛṣṇa is acknowledging that even He, in His human-līlā, lived under the duress of Kaṁsa's threat.
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mogham
—
uselessly
Wasted, in vain. From the same root as moha. The days were 'wasted' in the strict sense that arcana of parents could not be done — by the standard of vātsalya-dharma the years were void.
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vyatikrāntāḥ
—
spent
Crossed over, gone past — irretrievable. Time has a one-directional grammar even for Bhagavān within līlā; the apology is to that very irreversibility.
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anarcatoḥ
—
not honoring
From an + √arc — failing to perform arcana (worship). Parents are listed among the daily arcana objects in smārta dharma. Kṛṣṇa frames missed sonship as missed pūjā — making the apology liturgical, not merely emotional.
Lord Kṛṣṇa continues to bring Vasudeva and Devakī back to their normal parental feelings toward Him and Balarāma. An ordinary child would be afraid of a cruel, tyrannical king like Kaṁsa, and Lord Kṛṣṇa here plays the part of such a child, thus evoking the parental sympathy of Vasudeva and Devakī.
"Therefore because we were unable to serve you for fear of Kamsa (kamsat udvigna cetasoh) , our days have passed uselessly. We are at fault." But the real meaning is, "We spent all these days uselessly, our minds wanting go to Mathura, because we heard about Kamsa and wanted to fight him (udvigna cetasoh), but were unable to go." In this case udvigna means moving or going (vij). When Krsna says he spend his days uselessly it is an expression of regret.
In this verse they speak of their own condition. They were incapable of providing support because of Kaṁsa. We wasted our days since we did not worship you (vām).
We could not honor you because of fear of Kaṁsa. Thus our kaiśora days have been spent uselessly.
Kṛṣṇa describes His Mathurā years as 'days spent uselessly without honoring you' the way a son returning home counts every postcard he never sent. The Lord of all sacrifices apologizes for missed arcana — letting His parents weep over what was, before He reveals what is.
My note
Source: vedabase.io