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Condensed Consolidated Statements of Operations (Unaudited) - USD ($)
 3 Months Ended 6 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Mar. 31, 2025
Mar. 31, 2024
Income Statement [Abstract]        
Revenues
Operating Expenses        
Research and development 3,766,525 3,605,898 5,893,563 6,227,808
General and administrative 4,792,122 4,285,911 10,179,874 7,946,639
Stock-based compensation – general and administrative 2,702,031 3,078,392 5,226,855 6,136,577
Total Operating Expenses 11,260,678 10,970,201 21,300,292 20,311,024
Operating Loss (11,260,678) (10,970,201) (21,300,292) (20,311,024)
Other Income        
Interest income 13,413 182,205 36,021 435,843
Gain on sale of New Jersey net operating losses 2,387,842 2,387,842
Total Other Income 13,413 2,570,047 36,021 2,823,685
Loss before Income Taxes (11,247,265) (8,400,154) (21,264,271) (17,487,339)
Income tax expense 264,240 144,000 528,480 288,000
Net Loss (11,511,505) (8,544,154) (21,792,751) (17,775,339)
Net loss attributable to non-controlling interest 595,000 1,108,000
Net loss applicable to common stockholders $ (10,916,505) $ (8,544,154) $ (20,684,751) $ (17,775,339)
Net Loss Per Share - Basic (in Dollars per share) $ (1.27) $ (1.34) $ (2.58) $ (2.79)
Net Loss Per Share - Diluted (in Dollars per share) $ (1.27) $ (1.34) $ (2.58) $ (2.79)
Weighted Average Common Shares Outstanding        
Basic and diluted (in Shares) 8,581,207 6,362,890 8,029,834 6,360,551
Diluted (in Shares) 8,581,207 6,362,890 8,029,834 6,360,551