Condensed Consolidated Statements of Operations (Parenthetical) - USD ($) |
3 Months Ended | 9 Months Ended | 10 Months Ended | 12 Months Ended | ||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Sep. 30, 2025 |
Sep. 30, 2024 |
Sep. 30, 2025 |
Sep. 30, 2024 |
Dec. 31, 2023 |
Dec. 31, 2024 |
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| Defined Benefit Plan Disclosure [Line Items] | ||||||||||||||||||||||
| General and administrative expenses, related party amount | $ 3,825,671 | $ 8,980,965 | $ 12,610,666 | $ 11,483,389 | $ 2,675,698 | [1] | $ 17,972,828 | [1] | ||||||||||||||
| SAFE notes issuance costs, related party amount | 466,302 | |||||||||||||||||||||
| Other transaction costs, related party amount | [2] | 450,113 | ||||||||||||||||||||
| Interest expense including related party amount | 11,290 | [3] | 8,558 | [3] | 177,222 | [3] | 10,637 | [3] | 7,828 | [4] | 50,454 | [4] | ||||||||||
| Finance charge including related party amount | 54,752 | 273,871 | 7,579,713 | [5] | ||||||||||||||||||
| Related Party [Member] | ||||||||||||||||||||||
| Defined Benefit Plan Disclosure [Line Items] | ||||||||||||||||||||||
| General and administrative expenses, related party amount | 797,019 | 143,057 | ||||||||||||||||||||
| SAFE notes issuance costs, related party amount | 435,000 | |||||||||||||||||||||
| Other transaction costs, related party amount | 100,000 | |||||||||||||||||||||
| Interest expense including related party amount | $ 58,651 | 7,111 | 20,937 | |||||||||||||||||||
| Finance charge including related party amount | $ 3,875,000 | |||||||||||||||||||||
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