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Share-Based Compensation (Details) - USD ($)
3 Months Ended 6 Months Ended 12 Months Ended
Jul. 11, 2024
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Dec. 31, 2023
Jul. 16, 2024
Apr. 09, 2024
Feb. 29, 2024
Feb. 01, 2024
Share-Based Compensation [Line Items]                    
Percentage of outstanding shares of common stock           4.00%        
Remaining shares available for issuance (in Shares)             416,667      
Common stock, shares issued (in Shares) [1]   1,017,198   1,017,198   484,187        
Aggregate of stock options (in Shares)       82,501            
Vesting period       5 years            
Share price (in Dollars per share) $ 63.6                  
Shares of common stock exercise price (in Shares)                 20,834  
Common stock shares issued (in Shares)       0 77,500          
Share based payments   $ 2,752,668 $ 278,583 $ 2,878,035 $ 812,013          
Share issued as fully vested (in Shares)       0 42,753          
Prepaid and other assets   776,471   $ 776,471   $ 948,581        
Long-Term Prepaid Expense   154,412   154,412   242,647        
Amortization of capitalized share-based payments   $ 2,752,667 213,583 $ 2,878,035 $ 534,408          
Common Stock [Member]                    
Share-Based Compensation [Line Items]                    
Common stock, shares issued (in Shares)   5,337   5,337       41,629   41,630
Common stock shares issued (in Shares) [2]   (10,000)                
Florida State University Research Fund, Inc. [Member]                    
Share-Based Compensation [Line Items]                    
Share based payments   $ 2,625,000   $ 2,625,000   $ 2,730,685        
Two Thousand Twenty Two Equity Incentive Plan [Member]                    
Share-Based Compensation [Line Items]                    
Remaining shares available for issuance (in Shares)   19,384   19,384            
Restricted Stock Units (RSUs) [Member]                    
Share-Based Compensation [Line Items]                    
Common stock, shares issued (in Shares)   21,338   21,338            
Research and Development Expense [Member]                    
Share-Based Compensation [Line Items]                    
Share based payments   $ 2,627,300 101,250 $ 2,627,300 188,908          
Research and Development Expense [Member] | Florida State University Research Fund, Inc. [Member]                    
Share-Based Compensation [Line Items]                    
Share based payments       103,385            
Vendors [Member]                    
Share-Based Compensation [Line Items]                    
Share based payments   $ 0 $ 65,000 $ 0 $ 277,605          
Director [Member]                    
Share-Based Compensation [Line Items]                    
Aggregate of stock options (in Shares) 2,516                  
Forecast [Member]                    
Share-Based Compensation [Line Items]                    
Percentage of vested 100.00%                  
IPO [Member]                    
Share-Based Compensation [Line Items]                    
Common stock, shares issued (in Shares)   25,335   25,335            
Stock options are subject to vesting (in Shares)   45,000   45,000            
Share price (in Dollars per share)   $ 12   $ 12            
[1] Periods presented have been adjusted to reflect the 1:12 reverse stock split on August 12, 2024. See Note 12 - Subsequent Events for more information.
[2] Periods presented have been adjusted to reflect the 1:12 reverse stock split on August 12, 2024. See Note 12 - Subsequent Events for more information.