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Stock-Based Compensation (Details) - USD ($)
3 Months Ended 8 Months Ended 9 Months Ended 12 Months Ended
Apr. 30, 2024
Mar. 25, 2024
Oct. 31, 2016
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Dec. 31, 2023
Dec. 31, 2022
Stock-Based Compensation [Line Items]                  
Fair value graned percentage     0.06445%         100.00%  
Intrinsic value of options         $ 9,485   $ 9,485 $ 9,458 $ 35,859
Stock options expire   10 years              
Addition additional shares (in Shares) 20,000                
Expected dividend yield               0.00% 0.00%
Stock based compensation expense       $ 400,000 20,000.00 $ 1,900,000 80,000.00 $ 96,896 $ 381,070
Research and development       100,000          
General and administrative expenses       300,000          
Unamortized stock-based compensation       1,500,000   $ 1,500,000     79,526
Weighted average period           1 year 8 months 12 days      
Fair value per share (in Dollars per share)           $ 102   $ 0.5  
Issuance shares       $ 1.7   $ 4,300,000      
Weighted average period               1 year 18 days  
Research and Development Expense [Member]                  
Stock-Based Compensation [Line Items]                  
Stock based compensation expense               $ 91,664 294,164
General and Administrative Expense [Member]                  
Stock-Based Compensation [Line Items]                  
Stock based compensation expense               $ 5,232 $ 86,906
Research and Development Expense [Member]                  
Stock-Based Compensation [Line Items]                  
Stock based compensation expense         20,000.00        
Research and development           $ 900,000      
General and administrative expenses             70,000.00    
General and Administrative Expense [Member]                  
Stock-Based Compensation [Line Items]                  
General and administrative expenses         $ 0   $ 10,000.00    
Equity Incentive Plan [Member]                  
Stock-Based Compensation [Line Items]                  
Vested percentage   25.00%              
Vested [Member]                  
Stock-Based Compensation [Line Items]                  
Vested percentage               25.00%  
Common Stock [Member]                  
Stock-Based Compensation [Line Items]                  
Issuance shares (in Shares)     4,888,402            
Issuance of shares (in Shares)   51,726              
Expected dividend yield           0.00%      
Issuance shares               $ 4,888,402  
Common Stock [Member] | Research and Development Expense [Member]                  
Stock-Based Compensation [Line Items]                  
Research and development           $ 1,000,000