v3.25.4
Common Stock, Stock Options, Restricted Stock Awards and Warrants (Details) - USD ($)
 12 Months Ended
Sep. 19, 2025
Sep. 10, 2025
Jul. 17, 2025
Sep. 30, 2025
Sep. 30, 2024
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       400,000,000 100,000,000     110,000,000    
Common stock par value (in Dollars per share)       $ 0.0001 $ 0.0001          
Preferred stock shares authorized       10,000,000 10,000,000          
Preferred stock par value (in Dollars per share)       $ 0.0001 $ 0.0001          
Net proceeds offering (in Dollars)     $ 7,546,988              
Fair value of warrants (in Dollars)     905,000              
Expenses of placement agent fee (in Dollars)     $ 125,000              
Price per unit sold (in Dollars per share)   $ 1.75                
Common shares for issuance       43,276,754            
Options vest over terms       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 (in Dollars)       $ 7,814,682            
Weighted average period       1 year 2 months 23 days            
Restricted stock awards shares 11,600,000                  
Awards vested date Sep. 19, 2028                  
Common stock grant date (in Dollars) $ 20,300,000                  
Weighted average period       5 years 29 days            
Outstanding warrants       13,276,754            
Warrants and Rights Outstanding (in Dollars)       $ 6,125,681            
Warrant [Member]                    
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                    
Exercisable term     5 years              
Exercise price per share (in Dollars per share)     $ 1.32              
Fair value of warrants (in Dollars)     $ 8,197,000              
Placement Agent Warrants [Member]                    
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                    
Fair value of warrants (in Dollars)   $ 717,000                
Percentage of placement agent fee on gross proceeds       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                
Purchase of warrant   5,142,858                
Exercise price per share (in Dollars per share)   $ 1.92                
Gross proceeds (in Dollars)     $ 9,000,000              
Fair value of warrants (in Dollars)   $ 6,995,000                
Percentage of placement agent fee on gross proceeds   7.00% 7.00%              
Additional percentage of placement agent fee on gross proceeds     7.00%              
Net proceeds from common stock offering (in Dollars)   $ 7,619,854                
Price per shares of common stock grant date (in Dollars per share) $ 1.75                  
Common Stock [Member] | Warrant [Member]                    
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                    
Purchase of warrant   360,000                
Exercise price per share (in Dollars per share)   $ 1.84                
Gross proceeds (in Dollars)   $ 9,000,000                
Common Stock [Member] | Placement Agent Warrants [Member]                    
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                    
Purchase of warrant   205,714 477,273              
Exercise price per share (in Dollars per share)   $ 2.1875 $ 1.65              
Percentage of placement agent fee on gross proceeds   7.00%                
Expenses of placement agent fee (in Dollars)   $ 125,000                
Warrant commencement date   Mar. 10, 2026                
Warrant expire date   Mar. 10, 2031                
Preferred Stock [Member]                    
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                    
Preferred stock shares 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)       $ 203,741            
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount (in Dollars)       $ 20,096,259            
Weighted average period       2 years 11 months 19 days            
Minimum [Member]                    
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                    
Options vest over terms       12 months            
Minimum [Member] | Common Stock [Member]                    
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                    
Common stock authorized                   100,000,000
Maximum [Member]                    
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                    
Options vest over terms       36 months            
Maximum [Member] | Common Stock [Member]                    
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                    
Common stock authorized                   400,000,000
IPO [Member] | Common Stock [Member]                    
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                    
Offering shares     6,818,182              
Purchase of warrant     6,818,182              
Share issued price per share (in Dollars per share)     $ 1.32              
Common Stock Offerings [Member]                    
Common Stock, Stock Options, Restricted Stock Awards and Warrants [Line Items]                    
Purchase of warrant     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]                    
Common shares for issuance                 15,000,000 15,000,000