v3.25.4
Common Stock, Stock Options, Restricted Stock Awards and Warrants (Details) - USD ($)
 3 Months Ended 12 Months Ended
Sep. 19, 2025
Sep. 10, 2025
Jul. 17, 2025
Dec. 31, 2025
Dec. 31, 2024
Sep. 30, 2025
Sep. 30, 2024
Dec. 10, 2025
Apr. 07, 2025
Dec. 12, 2024
Dec. 02, 2024
Aug. 05, 2024
Aug. 02, 2024
Apr. 29, 2023
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Common stock authorized       400,000,000   400,000,000 100,000,000         110,000,000    
Common stock par value (in Dollars per share)       $ 0.0001   $ 0.0001 $ 0.0001              
Preferred stock authorized       10,000,000   10,000,000 10,000,000              
Preferred stock par value (in Dollars per share)       $ 0.0001   $ 0.0001 $ 0.0001              
Gross proceeds offering (in Dollars)     $ 7,546,988                      
Fair value of the warrants (in Dollars)     905,000                      
Expenses of placement agent fee (in Dollars)     $ 125,000                      
Common stock per share (in Dollars per share)   $ 1.75                        
Aggregate shares of common stock       91,836,387   43,276,754                
Contractual term           10 years                
Fair value exercise price (in Dollars per share)           $ 0.8                
Stock-based compensation expense (in Dollars)           $ 8,116,678 $ 7,498,817              
Unrecognized total compensation cost (in Dollars)           $ 7,814,682                
Unrecognized total compensation cost           1 year 2 months 23 days                
Restricted stock awards 11,600,000                          
Restricted stock awards date Sep. 19, 2028                          
Common stock on the date of grant (in Dollars) $ 20,300,000                          
Weighted average period           5 years 29 days                
Common stock reserved       46,836,387   13,276,754                
Warrants outstanding (in Dollars)           $ 6,125,681                
Warrant [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Term of exercisable warrants     5 years                      
Exercise price per share (in Dollars per share)     $ 1.32                      
Fair value of the warrants (in Dollars)     $ 8,197,000                      
Warrant commencement date     Jan. 17, 2026                      
Weighted average period       3 years 5 months 8 days                    
Common stock reserved       46,836,387                    
Warrants outstanding (in Dollars)       $ 15,227,835                    
Placement Agent Warrants [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Warrants purchase     272,727 1,816,513                    
Exercise price per share (in Dollars per share)     $ 1.65                      
Fair value of the warrants (in Dollars)   $ 717,000 $ 905,000                      
Percentage of placement agent fee           7.00%                
Warrant expire date     Jul. 17, 2030                      
Percentage of placement agent cash fee     7.00%                      
Director [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Purchase of granted options                   5,550,000 200,000      
Exercise price (in Dollars per share)                   $ 1.07 $ 1.02      
Common Stock [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Common stock authorized                       100,000,000    
Common stock par value (in Dollars per share)                       $ 0.0001    
Offering shares   5,142,858                        
Warrants purchase   5,142,858                        
Exercise price per share (in Dollars per share)   $ 1.92                        
Gross proceeds from offering (in Dollars)     $ 9,000,000                      
Gross proceeds offering (in Dollars)     $ 9,000,000                      
Fair value of the warrants (in Dollars)   $ 6,995,000                        
Percentage of placement agent fee   7.00% 7.00%                      
Percentage of placement agent cash fee     7.00%                      
Net proceeds from common stock offering (in Dollars)   $ 7,619,854                        
Common stock on the date of grant per share (in Dollars per share) $ 1.75                          
Common Stock [Member] | Warrant [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Warrants purchase   360,000                        
Exercise price per share (in Dollars per share)   $ 1.84                        
Gross proceeds from offering (in Dollars)   $ 9,000,000                        
Common Stock [Member] | Placement Agent Warrants [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Warrants purchase   205,714 477,273                      
Exercise price per share (in Dollars per share)   $ 2.1875 $ 1.65                      
Percentage of placement agent fee   7.00%                        
Expenses of placement agent fee (in Dollars)   $ 125,000                        
Warrant commencement date   Mar. 10, 2026 Aug. 17, 2025                      
Warrant expire date   Mar. 10, 2031 Jul. 17, 2030                      
Preferred Stock [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Preferred stock authorized                       10,000,000    
Preferred stock par value (in Dollars per share)                       $ 0.0001    
Restricted Stock [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Stock-based compensation expense (in Dollars)       $ 1,704,015   $ 203,741                
Restricted stock awards date Sep. 19, 2028                          
Unrecognized total compensation cost related to unvested restricted stock awards (in Dollars)       $ 18,392,245   $ 20,096,259                
Weighted average period       2 years 8 months 19 days   2 years 11 months 19 days                
Restricted Stock [Member] | Common Stock [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Common stock on the date of grant (in Dollars) $ 20,300,000                          
Common stock on the date of grant per share (in Dollars per share) $ 1.75                          
Minimum [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Contractual term           12 months                
Minimum [Member] | Common Stock [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Common stock authorized                 100,000,000         100,000,000
Maximum [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Contractual term           36 months                
Maximum [Member] | Common Stock [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Common stock authorized                 400,000,000         400,000,000
IPO [Member] | Warrant [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Warrants purchase               6,818,182            
Exercise price per share (in Dollars per share)     $ 1.09         $ 1.09            
IPO [Member] | Common Stock [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Offering shares     6,818,182                      
Warrants purchase     6,818,182                      
Common stock price per share (in Dollars per share)     $ 1.32                      
IPO [Member] | Common Stock [Member] | Warrant [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Common stock price per share (in Dollars per share)     $ 1.09                      
Common Stock Offerings [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Warrants purchase     272,727                      
Exercise price per share (in Dollars per share)     $ 1.65                      
Warrant commencement date   Mar. 10, 2026 Jan. 17, 2026                      
Warrant expire date   Mar. 10, 2031 Jul. 17, 2030                      
Common Stock Offerings [Member] | Common Stock [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Warrant commencement date     Aug. 17, 2025                      
Warrant expire date     Jul. 17, 2030                      
Stock Plans [Member]                            
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                            
Aggregate shares of common stock                         15,000,000 15,000,000
Contractual term       10 years                    
Stock-based compensation expense (in Dollars)       $ 2,252,035 $ 1,808,478                  
Unrecognized total compensation cost (in Dollars)       $ 5,562,647                    
Unrecognized total compensation cost       1 year 29 days